About the Author |
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xvii | |
Preface |
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xix | |
List of Tables |
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xxi | |
Part One Marine Craft Hydrodynamics |
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3 | (14) |
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1.1 Classification of Models |
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6 | (2) |
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1.2 The Classical Models in Naval Architecture |
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8 | (6) |
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10 | (2) |
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12 | (2) |
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14 | (1) |
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1.3 Fossen's Robot-inspired Model for Marine Craft |
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14 | (3) |
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17 | (38) |
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2.1 Kinematic Preliminaries |
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18 | (5) |
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18 | (3) |
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2.1.2 Body-fixed Reference Points |
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21 | (1) |
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2.1.3 Generalized Coordinates |
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22 | (1) |
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2.2 Transformations Between BODY and NED |
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23 | (16) |
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2.2.1 Euler Angle Transformation |
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26 | (6) |
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32 | (6) |
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2.2.3 Unit Quaternion from Euler Angles |
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38 | (1) |
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2.2.4 Euler Angles from a Unit Quaternion |
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38 | (1) |
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2.3 Transformations Between ECEF and NED |
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39 | (6) |
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2.3.1 Longitude and Latitude Rotation Matrix |
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40 | (1) |
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2.3.2 Longitude, Latitude and Height from ECEF Coordinates |
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41 | (3) |
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2.3.3 ECEF Coordinates from Longitude, Latitude and Height |
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44 | (1) |
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2.4 Transformations between ECEF and Flat-Earth Coordinates |
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45 | (2) |
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2.4.1 Longitude, Latitude and Height from Flat-Earth Coordinates |
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45 | (1) |
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2.4.2 Flat-Earth Coordinates from Longitude, Latitude and Height |
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46 | (1) |
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2.5 Transformations Between BODY and FLOW |
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47 | (8) |
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2.5.1 Definitions of Heading, Course and Crab Angles |
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47 | (2) |
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2.5.2 Definitions of Angle of Attack and Sideslip Angle |
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49 | (2) |
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2.5.3 Flow-axes Rotation Matrix |
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51 | (4) |
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55 | (16) |
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3.1 Newton-Euler Equations of Motion about the CG |
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56 | (4) |
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3.1.1 Translational Motion About the CG |
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58 | (1) |
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3.1.2 Rotational Motion About the CG |
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59 | (1) |
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3.1.3 Equations of Motion About the CG |
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60 | (1) |
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3.2 Newton-Euler Equations of Motion About the CO |
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60 | (3) |
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3.2.1 Translational Motion About the CO |
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61 | (1) |
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3.2.2 Rotational Motion About the CO |
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61 | (2) |
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3.3 Rigid-body Equations of Motion |
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63 | (8) |
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3.3.1 Nonlinear 6-DOF Rigid-body Equations of Motion |
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63 | (6) |
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3.3.2 Linearized 6-DOF Rigid-body Equations of Motion |
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69 | (2) |
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71 | (34) |
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4.1 Restoring Forces for Underwater Vehicles |
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71 | (3) |
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4.1.1 Hydrostatics of Submerged Vehicles |
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71 | (3) |
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4.2 Restoring Forces for Surface Vessels |
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74 | (8) |
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4.2.1 Hydrostatics of Floating Vessels |
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74 | (3) |
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4.2.2 Linear (Small Angle) Theory for Boxed-shaped Vessels |
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77 | (2) |
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4.2.3 Computation of Metacenter Heights for Surface Vessels |
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79 | (3) |
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4.3 Load Conditions and Natural Periods |
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82 | (8) |
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4.3.1 Decoupled Computation of Natural Periods |
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82 | (2) |
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4.3.2 Computation of Natural Periods in a 6-DOF Coupled System |
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84 | (3) |
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4.3.3 Natural Periods as a Function of Load Condition |
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87 | (2) |
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4.3.4 Free-surface Effects |
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89 | (1) |
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90 | (1) |
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90 | (7) |
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4.4.1 Harmonic Oscillator with Sinusoidal Forcing |
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90 | (2) |
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4.4.2 Steady-state Heave, Roll and Pitch Responses in Regular Waves |
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92 | (2) |
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4.4.3 Explicit Formulae for Boxed-shaped Vessels in Regular Waves |
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94 | (2) |
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4.4.4 Case Study: Resonances in the Heave, Roll and Pitch Modes |
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96 | (1) |
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97 | (8) |
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4.5.1 Static Conditions for Trim and Heel |
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99 | (3) |
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4.5.2 Automatic Ballast Control Systems |
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102 | (3) |
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105 | (30) |
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5.1 Hydrodynamic Concepts and Potential Theory |
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106 | (4) |
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5.1.1 Numerical Approaches and Hydrodynamic Codes |
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108 | (2) |
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5.2 Seakeeping and Maneuvering Kinematics |
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110 | (4) |
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5.2.1 Seakeeping Reference Frame |
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110 | (1) |
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5.2.2 Transformation Between BODY and SEAKEEPING |
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111 | (3) |
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5.3 The Classical Frequency-domain Model |
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114 | (8) |
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5.3.1 Frequency-dependent Hydrodynamic Coefficients |
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115 | (4) |
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119 | (2) |
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5.3.3 Response Amplitude Operators |
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121 | (1) |
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5.4 Time-domain Models including Fluid Memory Effects |
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122 | (8) |
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5.4.1 Cummins Equation in SEAKEEPING Coordinates |
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122 | (3) |
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5.4.2 Linear Time-domain Seakeeping Equations in BODY Coordinates |
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125 | (4) |
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5.4.3 Nonlinear Unified Seakeeping and Maneuvering Model with Fluid Memory Effects |
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129 | (1) |
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5.5 Identification of Fluid Memory Effects |
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130 | (5) |
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5.5.1 Frequency-domain Identification Using the MSS FDI Toolbox |
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131 | (4) |
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135 | (48) |
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137 | (1) |
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6.2 Potential Coefficients |
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137 | (4) |
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6.2.1 Frequency-independent Added Mass and Potential Damping |
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139 | (1) |
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6.2.2 Extension to 6-DOF Models |
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140 | (1) |
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6.3 Added Mass Forces in a Rotating Coordinate System |
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141 | (7) |
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6.3.1 Lagrangian Mechanics |
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142 | (1) |
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6.3.2 Kirchhoff s Equation |
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143 | (1) |
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6.3.3 Added Mass and Coriolis-Centripetal Matrices |
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143 | (5) |
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148 | (7) |
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150 | (1) |
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6.4.2 Nonlinear Surge Damping |
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151 | (3) |
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6.4.3 Cross-flow Drag Principle |
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154 | (1) |
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6.5 Ship Maneuvering Models (3 DOFs) |
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155 | (10) |
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6.5.1 Nonlinear Equations of Motion |
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155 | (3) |
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6.5.2 Nonlinear Maneuvering Model Based on Surge Resistance and Cross-flow Drag |
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158 | (1) |
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6.5.3 Nonlinear Maneuvering Model Based on Second-order Modulus Functions |
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159 | (2) |
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6.5.4 Nonlinear Maneuvering Model Based on Odd Functions |
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161 | (2) |
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6.5.5 Linear Maneuvering Model |
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163 | (2) |
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6.6 Ship Maneuvering Models Including Roll (4 DOFs) |
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165 | (10) |
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6.6.1 The Nonlinear Model of Son and Nomoto |
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172 | (1) |
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6.6.2 The Nonlinear Model of Blanke and Christensen |
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173 | (2) |
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6.7 Low-Speed Maneuvering Models for Dynamic Positioning (3 DOFs) |
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175 | (8) |
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6.7.1 Current Coefficients |
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175 | (4) |
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6.7.2 Nonlinear DP Model Based on Current Coefficients |
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179 | (1) |
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6.7.3 Linear Time-varying DP Model |
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180 | (3) |
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7 Autopilot Models for Course and Heading Control |
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183 | (12) |
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7.1 Autopilot Models for Course Control |
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184 | (2) |
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7.1.1 State-space Model for Course Control |
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184 | (1) |
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7.1.2 Course Angle Transfer Function |
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185 | (1) |
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7.2 Autopilot Models for Heading Control |
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186 | (9) |
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7.2.1 Second-order Nomoto Model |
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186 | (2) |
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7.2.2 First-order Nomoto Model |
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188 | (2) |
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7.2.3 Nonlinear Extensions of Nomoto's Model |
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190 | (2) |
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192 | (3) |
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8 Models for Underwater Vehicles |
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195 | (22) |
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8.1 6-DOF Models for AUVs and ROVs |
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195 | (6) |
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8.1.1 Equations of Motion Expressed in BODY |
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195 | (2) |
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8.1.2 Equations of Motion Expressed in NED |
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197 | (1) |
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8.1.3 Properties of the 6-DOF Model |
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198 | (2) |
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8.1.4 Symmetry Considerations of the System Inertia Matrix |
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200 | (1) |
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8.2 Longitudinal and Lateral Models for Submarines |
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201 | (4) |
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8.2.1 Longitudinal Subsystem |
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202 | (2) |
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204 | (1) |
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8.3 Decoupled Models for "Flying Underwater Vehicles" |
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205 | (3) |
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8.3.1 Forward Speed Subsystem |
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206 | (1) |
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8.3.2 Course Angle Subsystem |
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206 | (1) |
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8.3.3 Pitch-Depth Subsystem |
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207 | (1) |
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8.4 Cylinder-Shaped Vehicles and Myring-type Hulls |
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208 | (6) |
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209 | (1) |
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8.4.2 Spheroid Approximation |
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210 | (4) |
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8.5 Spherical-Shaped Vehicles |
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214 | (3) |
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9 Control Forces and Moments |
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217 | (44) |
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9.1 Propellers as Thrust Devices |
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217 | (8) |
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9.1.1 Fixed-pitch Propeller |
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217 | (3) |
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9.1.2 Controllable-pitch Propeller |
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220 | (5) |
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9.2 Ship Propulsion Systems |
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225 | (3) |
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9.2.1 Podded Propulsion Units |
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225 | (2) |
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227 | (1) |
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9.3 USV and Underwater Vehicle Propulsion Systems |
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228 | (5) |
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9.3.1 Propeller Shaft Speed Models |
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229 | (1) |
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9.3.2 Motor Armature Current Control |
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230 | (2) |
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9.3.3 Motor Speed Control |
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232 | (1) |
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233 | (3) |
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233 | (1) |
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234 | (2) |
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9.5 Rudder in the Propeller Slipstream |
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236 | (7) |
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9.5.1 Rudder Forces and Moment |
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237 | (3) |
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9.5.2 Steering Machine Dynamics |
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240 | (3) |
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243 | (2) |
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9.6.1 Lift and Drag Forces on Fins |
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244 | (1) |
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9.6.2 Roll Moment Produced by Symmetrical Fin Stabilizers |
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245 | (1) |
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9.7 Underwater Vehicle Control Surfaces |
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245 | (4) |
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247 | (1) |
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248 | (1) |
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9.8 Control Moment Gyroscope |
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249 | (9) |
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9.8.1 Ship Roll Gyrostabilizer |
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249 | (3) |
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9.8.2 Control Moment Gyros for Underwater Vehicles |
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252 | (6) |
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9.9 Moving Mass Actuators |
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258 | (3) |
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10 Environmental Forces and Moments |
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261 | (48) |
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10.1 Wind Forces and Moments |
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263 | (11) |
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10.1.1 Wind Forces and Moments on Marine Craft at Rest |
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263 | (2) |
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10.1.2 Wind Forces and Moments on Moving Marine Craft |
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265 | (1) |
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10.1.3 Wind Coefficients Based on Helmholtz-Kirchhoff Plate Theory |
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266 | (3) |
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10.1.4 Wind Coefficients for Merchant Ships |
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269 | (2) |
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10.1.5 Wind Coefficients for Very Large Crude Carriers |
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271 | (1) |
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10.1.6 Wind Coefficients for Large Tankers and Medium-sized Ships |
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272 | (1) |
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10.1.7 Wind Coefficients for Moored Ships and Floating Structures |
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272 | (2) |
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10.2 Wave Forces and Moments |
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274 | (26) |
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10.2.1 Sea-state Descriptions |
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275 | (1) |
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276 | (11) |
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10.2.3 Wave Amplitude Response Model |
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287 | (3) |
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290 | (3) |
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293 | (3) |
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10.2.6 State-space Models for Wave Response Simulation |
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296 | (4) |
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10.3 Ocean Current Forces and Moments |
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300 | (9) |
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10.3.1 3D Irrotational Ocean Current Model |
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303 | (1) |
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10.3.2 2D Irrotational Ocean Current Model |
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304 | (5) |
Part Two Motion Control |
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11 Introduction to Part II |
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309 | (22) |
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11.1 Guidance, Navigation and Control Systems |
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310 | (6) |
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11.1.1 Historical Remarks |
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312 | (2) |
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314 | (1) |
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11.1.3 Dynamic Positioning and Position Mooring Systems |
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315 | (1) |
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11.1.4 Waypoint Tracking and Path following Control Systems |
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316 | (1) |
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316 | (15) |
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11.2.1 Propulsion and Actuator Models |
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318 | (4) |
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11.2.2 Unconstrained Control Allocation |
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322 | (2) |
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11.2.3 Constrained Control Allocation |
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324 | (7) |
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331 | (56) |
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333 | (8) |
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12.1.1 Reference Models for Trajectory Generation |
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334 | (5) |
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12.1.2 Trajectory Generation using a Marine Craft Simulator |
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339 | (1) |
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12.1.3 Optimal Trajectory Generation |
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340 | (1) |
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12.2 Guidance Laws for Target Tracking |
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341 | (5) |
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12.2.1 Line-of-sight Guidance Law |
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342 | (1) |
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12.2.2 Pure-pursuit Guidance Law |
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343 | (1) |
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12.2.3 Constant Bearing Guidance Law |
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344 | (2) |
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12.3 Linear Design Methods for Path Following |
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346 | (7) |
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346 | (1) |
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12.3.2 Path Generation using Straight Lines and Inscribed Circles |
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347 | (2) |
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12.3.3 Straight-line Paths Based on Circles of Acceptance |
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349 | (2) |
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12.3.4 Path Generation using Dubins Path |
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351 | (1) |
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12.3.5 Transfer Function Models for Straight-line Path Following |
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352 | (1) |
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12.4 LOS Guidance Laws for Path Following using Course Autopilots |
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353 | (10) |
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12.4.1 Vector-field Guidance Law |
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354 | (2) |
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12.4.2 Proportional LOS Guidance Law |
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356 | (3) |
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12.4.3 Lookahead- and Enclosure-based LOS Steering |
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359 | (2) |
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361 | (2) |
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12.5 LOS Guidance Laws for Path Following using Heading Autopilots |
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363 | (2) |
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12.5.1 Crab Angle Compensation by Direct Measurements |
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363 | (1) |
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364 | (1) |
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12.6 Curved-Path Path Following |
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365 | (22) |
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12.6.1 Path Generation using Interpolation Methods |
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366 | (12) |
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12.6.2 Proportional LOS Guidance Law for Curved Paths |
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378 | (2) |
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12.6.3 Path-following using Serret-Frenet Coordinates |
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380 | (4) |
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12.6.4 Case Study: Path-following Control using Serret-Frenet Coordinates |
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384 | (3) |
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13 Model-based Navigation Systems |
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387 | (56) |
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13.1 Sensors for Marine Craft |
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387 | (4) |
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388 | (1) |
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389 | (1) |
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390 | (1) |
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390 | (1) |
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391 | (12) |
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13.2.1 Low-pass Filtering |
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393 | (3) |
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13.2.2 Cascaded Low-pass and Notch Filtering |
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396 | (1) |
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13.2.3 Wave-frequency Estimation |
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397 | (6) |
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13.3 Fixed-gain Observer Design |
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403 | (5) |
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403 | (2) |
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13.3.2 Luenberger Observer |
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405 | (1) |
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13.3.3 Case Study: Luenberger Observer for Heading Autopilot |
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406 | (2) |
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13.4 Kalman Filter Design |
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408 | (16) |
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13.4.1 Discrete-time Kalman Filter |
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408 | (3) |
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13.4.2 Discrete-time Extended Kalman Filter |
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411 | (1) |
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13.4.3 Modification for Euler Angles to Avoid Discontinuous Jumps |
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412 | (3) |
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13.4.4 Modification for Asynchronous Measurement Data |
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415 | (1) |
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13.4.5 Case Study: Kalman Filter Design for Heading Autopilots |
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416 | (3) |
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13.4.6 Case Study: Kalman Filter for Dynamic Positioning Systems |
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419 | (5) |
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13.5 Passive Observer Design |
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424 | (19) |
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13.5.1 Case Study: Passive Observer for Dynamic Positioning using GNSS and Compass Measurements |
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424 | (9) |
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13.5.2 Case Study: Passive Observer for Heading Autopilots using only Compass Measurements |
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433 | (7) |
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13.5.3 Case Study: Passive Observer for Heading Autopilots using both Compass and Angular Rate Sensor Measurements |
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440 | (3) |
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14 Inertial Navigation Systems |
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443 | (50) |
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14.1 Inertial Measurement Unit |
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444 | (7) |
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14.1.1 Attitude Rate Sensors |
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446 | (1) |
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446 | (3) |
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449 | (2) |
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451 | (6) |
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14.2.1 Static Mapping from Specific Force to Roll and Pitch Angles |
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451 | (1) |
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14.2.2 Vertical Reference Unit ( VRU) Transformations |
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452 | (1) |
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14.2.3 Nonlinear Attitude Observer using Reference Vectors |
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453 | (4) |
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14.3 Direct Filters for Aided INS |
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457 | (10) |
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14.3.1 Fixed-gain Observer using Attitude Measurements |
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458 | (4) |
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14.3.2 Direct Kalman Filter using Attitude Measurements |
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462 | (3) |
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14.3.3 Direct Kalman Filter with Attitude Estimation |
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465 | (2) |
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14.4 Indirect Filters for Aided INS |
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467 | (26) |
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14.4.1 Introductory Example |
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469 | (3) |
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14.4.2 Error-state Kalman Filter using Attitude Measurements |
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472 | (8) |
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14.4.3 Error-state Extended Kalman Filter with Attitude Estimation |
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480 | (13) |
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15 Motion Control Systems |
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493 | (56) |
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15.1 Open-Loop Stability and Maneuverability |
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494 | (22) |
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15.1.1 Straight-line, Directional and Positional Motion Stability |
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495 | (9) |
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504 | (12) |
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15.2 Autopilot Design Using Successive Loop Closure |
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516 | (7) |
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15.2.1 Successive Loop Closure |
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516 | (2) |
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15.2.2 Case Study: Heading Autopilot for Marine Craft |
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518 | (1) |
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15.2.3 Case Study: Path-following Control System for Marine Craft |
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519 | (2) |
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15.2.4 Case Study: Diving Autopilot for Underwater Vehicles |
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521 | (2) |
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15.3 PID Pole-Placement Algorithms |
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523 | (26) |
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15.3.1 Linear Mass-Damper-Spring Systems |
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523 | (4) |
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15.3.2 SISO Linear PID Control |
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527 | (2) |
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15.3.3 MIMO Nonlinear PID Control |
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529 | (3) |
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15.3.4 Case Study: Heading Autopilot for Marine Craft |
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532 | (6) |
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15.3.5 Case Study: LOS Path following Control for Marine Craft |
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538 | (2) |
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15.3.6 Case Study: Dynamic Positioning System for Surface Vessels |
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540 | (6) |
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15.3.7 Case Study: Position Mooring System for Surface Vessels |
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546 | (3) |
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16 Advanced Motion Control Systems |
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549 | (102) |
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16.1 Linear-quadratic Optimal Control |
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550 | (30) |
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16.1.1 Linear-quadratic Regulator |
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550 | (2) |
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16.1.2 LQR Design for Trajectory Tracking and Integral Action |
|
|
552 | (2) |
|
16.1.3 General Solution of the LQ Trajectory-tracking Problem |
|
|
554 | (6) |
|
16.1.4 Operability and Motion Sickness Incidence Criteria |
|
|
560 | (2) |
|
16.1.5 Case Study: Optimal Heading Autopilot for Marine Craft |
|
|
562 | (4) |
|
16.1.6 Case Study: Optimal DP System for Surface Vessels |
|
|
566 | (4) |
|
16.1.7 Case Study: Optimal Rudder-roll Damping Systems for Ships |
|
|
570 | (9) |
|
16.1.8 Case Study: Optimal Fin and RRD Systems for Ships |
|
|
579 | (1) |
|
16.2 State Feedback Linearization |
|
|
580 | (6) |
|
16.2.1 Decoupling in the BODY Frame ( Velocity Control) |
|
|
581 | (1) |
|
16.2.2 Decoupling in the NED Frame ( Position and Attitude Control) |
|
|
582 | (2) |
|
16.2.3 Case Study: Speed Control Based on Feedback Linearization |
|
|
584 | (1) |
|
16.2.4 Case Study: Autopilot Based on Feedback Linearization |
|
|
585 | (1) |
|
16.3 Integrator Backstepping |
|
|
586 | (48) |
|
16.3.1 A Brief History of Backstepping |
|
|
586 | (1) |
|
16.3.2 The Main Idea of Integrator Backstepping |
|
|
587 | (7) |
|
16.3.3 Backstepping of SISO Mass-Damper-Spring Systems |
|
|
594 | (3) |
|
16.3.4 Integral Action by Constant Parameter Adaptation |
|
|
597 | (2) |
|
16.3.5 Integrator Augmentation Technique |
|
|
599 | (3) |
|
16.3.6 Case Study: Backstepping Design for Mass-Damper-Spring |
|
|
602 | (2) |
|
16.3.7 Case Study: Backstepping Design for Robot Manipulators |
|
|
604 | (2) |
|
16.3.8 Case Study: Backstepping Design for Surface Craft |
|
|
606 | (4) |
|
16.3.9 Case Study: Autopilot Based on Backstepping |
|
|
610 | (1) |
|
16.3.10 Case Study: Path following Controller for Underactuated Marine Craft |
|
|
611 | (5) |
|
16.3.11 Case Study: Weather Optimal Position Control |
|
|
616 | (18) |
|
16.4 Sliding Mode Control |
|
|
634 | (17) |
|
16.4.1 Conventional Integral S MC fbr Second-order Systems |
|
|
634 | (3) |
|
16.4.2 Conventional Integral SMC for Third-order Systems |
|
|
637 | (1) |
|
16.4.3 Super-twisting Adaptive Sliding Mode Control |
|
|
637 | (2) |
|
16.4.4 Case Study: Heading Autopilot Based on Conventional Integral SMC |
|
|
639 | (4) |
|
16.4.5 Case Study: Depth Autopilot for Diving Based on Conventional Integral SMC |
|
|
643 | (3) |
|
16.4.6 Case Study: Heading Autopilot Based on the Adaptive-gain Super Twisting Algorithm |
|
|
646 | (5) |
Part Three Appendices |
|
|
A Nonlinear Stability Theory |
|
|
651 | (10) |
|
A.1 Lyapunov Stability for Autonomous Systems |
|
|
651 | (5) |
|
A.1.1 Stability and Convergence |
|
|
651 | (2) |
|
A.1.2 Lyapunov's Direct Method |
|
|
653 | (1) |
|
A.1.3 Krasovskii-LaSalle's Theorem |
|
|
654 | (1) |
|
A.1.4 Global Exponential Stability |
|
|
655 | (1) |
|
A.2 Lyapunov Stability of Non-autonomous Systems |
|
|
656 | (5) |
|
|
656 | (1) |
|
A.2.2 LaSalle-Yoshizawa's Theorem |
|
|
656 | (1) |
|
A.2.3 On USGES of Proportional Line-of-sight Guidance Laws |
|
|
657 | (1) |
|
A.2.4 UGAS when Backstepping with Integral Action |
|
|
658 | (3) |
|
|
661 | (8) |
|
B.1 Discretization of Continuous-time Systems |
|
|
661 | (2) |
|
|
661 | (2) |
|
B.1.2 Computation of the Transition Matrix |
|
|
663 | (1) |
|
B.2 Numerical Integration Methods |
|
|
663 | (3) |
|
|
664 | (1) |
|
B.2.2 Adams-Bashford's Second-order Method |
|
|
665 | (1) |
|
B.2.3 Runge-Kutta Second-order Method |
|
|
666 | (1) |
|
B.2.4 Runge-Kutta Fourth-order Method |
|
|
666 | (1) |
|
B.3 Numerical Differentiation |
|
|
666 | (3) |
|
|
669 | (6) |
|
C.1 Transforming the Equations of Motion to an Arbitrarily Point |
|
|
669 | (3) |
|
C1.1 System Transformation Matrix |
|
|
669 | (2) |
|
C1.2 Equations of Motion About an Arbitrarily Point |
|
|
671 | (1) |
|
C.2 Matrix and Vector Transformations |
|
|
672 | (3) |
|
D Non-dimensional Equations of Motion |
|
|
675 | (6) |
|
D.1 Non-dimensionalization |
|
|
675 | (3) |
|
D.1.1 Non-dimensional Hydrodynamic Coefficients |
|
|
676 | (1) |
|
D.1.2 Non-dimensional Nomoto Models |
|
|
677 | (1) |
|
D.1.3 Non-dmensional Maneuvering Models |
|
|
678 | (1) |
|
D.2 6-DOF Procedure for Non-dimensionalization |
|
|
678 | (3) |
References |
|
681 | (20) |
Index |
|
701 | |