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1 | (10) |
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1.1 Examples of Antennas and Telescopes |
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1 | (4) |
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1.1.1 NASA Deep Space Network |
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1 | (1) |
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1.1.2 Large Millimeter Telescope |
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1 | (1) |
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1.1.3 ESA Deep Space Antennas |
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2 | (1) |
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1.1.4 Atacama Large Millimeter Array |
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2 | (1) |
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1.1.5 Thirty Meter Telescope |
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3 | (1) |
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1.1.6 Green Bank Telescope |
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4 | (1) |
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1.1.7 Effelsberg Telescope |
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4 | (1) |
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1.2 Short Description of the Antenna Control System |
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5 | (2) |
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6 | (1) |
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7 | (1) |
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1.3 Antenna and Telescope Literature |
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7 | (4) |
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8 | (3) |
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11 | (20) |
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11 | (1) |
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12 | (12) |
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2.2.1 Finite-Element Model |
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12 | (2) |
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14 | (3) |
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17 | (2) |
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2.2.4 Models with Rigid Body Modes |
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19 | (2) |
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2.2.5 Discrete-Time Model |
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21 | (3) |
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24 | (2) |
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24 | (1) |
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25 | (1) |
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25 | (1) |
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26 | (1) |
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2.5 Drive Parameter Study |
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26 | (5) |
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2.5.1 Drive Stiffness Factor |
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27 | (1) |
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2.5.2 Drive Inertia Factor |
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28 | (2) |
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30 | (1) |
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3 Models from Identification |
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31 | (14) |
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3.1 White Noise Testing of the Antenna |
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31 | (7) |
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3.1.1 Purpose and Conditions |
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31 | (1) |
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3.1.2 Test Input and Output |
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32 | (1) |
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32 | (2) |
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34 | (3) |
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3.1.5 Basic Relationships for the Discrete-Time Data |
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37 | (1) |
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3.2 Identification of the Velocity Loop Model |
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38 | (7) |
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3.2.1 Description of the Velocity Loop Model |
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39 | (1) |
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3.2.2 Identification of the Velocity Loop Model |
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39 | (2) |
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3.2.3 A Comparison of the Analytical and Identified Models |
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41 | (1) |
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3.2.4 Azimuth Model Depends on the Antenna Elevation Position |
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41 | (2) |
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3.2.5 Fundamental Frequency Depends on Antenna Diameter |
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43 | (1) |
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44 | (1) |
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45 | (6) |
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45 | (1) |
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4.2 Balanced Model Reduction |
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45 | (2) |
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4.3 Modal Model Reduction |
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47 | (2) |
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4.3.1 Norms of a Single Mode |
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47 | (1) |
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4.3.2 Norms of a Structure |
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48 | (1) |
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4.4 Antenna Model Reduction |
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49 | (2) |
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50 | (1) |
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5 Wind Disturbance Models |
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51 | (22) |
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5.1 Steady-State Wind Disturbance Model |
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51 | (8) |
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5.1.1 Dimensionless Wind Torques |
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52 | (2) |
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5.1.2 Obtaining Wind Torques from Field Data |
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54 | (2) |
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5.1.3 Comparing Wind Tunnel Results and the Field Data |
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56 | (3) |
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5.2 Wind Gusts Disturbance Models |
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59 | (14) |
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5.2.1 Model of Wind Forces Acting on the Dish |
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60 | (4) |
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5.2.2 Model of Wind Torque Acting at the Drives |
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64 | (1) |
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5.2.3 Algorithm to Generate a Time Profile of Wind Gusts Torque |
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65 | (1) |
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5.2.4 Model of Wind at the Velocity Input |
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66 | (1) |
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5.2.5 Algorithm to Generate Time Profile of Wind at the Velocity Input |
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67 | (1) |
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5.2.6 The Equivalence of Wind Torque and Wind Velocity Models |
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67 | (1) |
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5.2.7 Closed Loop Pointing Accuracy with Wind Gusts Disturbances |
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68 | (2) |
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70 | (3) |
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6 Preliminaries to Control |
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73 | (8) |
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73 | (4) |
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6.2 Transformations of the Velocity Loop Model |
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77 | (4) |
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6.2.1 Transformation into Modal Coordinates |
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78 | (1) |
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6.2.2 Antenna Position as the First State |
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78 | (1) |
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6.2.3 Augmentation with the Integral of the Position |
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78 | (1) |
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79 | (2) |
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7 PI and Feedforward Controllers |
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81 | (14) |
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7.1 Properties of the PI Controller |
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81 | (5) |
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7.1.1 Closed Loop Transfer Functions |
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83 | (1) |
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7.1.2 The Proportional Gain Analysis |
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83 | (2) |
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7.1.3 The Integral Gain Analysis |
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85 | (1) |
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7.2 PI Controller Tuning Steps |
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86 | (1) |
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7.3 Closed Loop Equations of a Flexible Antenna with a PI Controller |
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87 | (1) |
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7.4 Performance of the PI Controller |
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87 | (4) |
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7.4.1 Performance Characteristics |
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87 | (3) |
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7.4.2 Limits of Performance |
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90 | (1) |
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7.5 Feedforward Controller |
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91 | (4) |
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93 | (2) |
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95 | (40) |
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8.1 Properties of the LQC Controller |
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95 | (13) |
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8.1.1 LQG Controller Description |
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95 | (3) |
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8.1.2 Tracking LQG Controller |
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98 | (3) |
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8.1.3 Closed Loop Equations of the Tracking LQG Control System |
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101 | (1) |
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101 | (3) |
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8.1.5 Resemblance of the LQG and PI Controllers |
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104 | (1) |
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8.1.6 Properties of the LQG Weights |
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105 | (2) |
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8.1.7 Limits of the LQG Gains |
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107 | (1) |
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8.2 LQG Controller Tuning Steps |
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108 | (2) |
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8.3 Performance of the LQG Controller |
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110 | (7) |
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8.3.1 Summary of the Antenna Servo Performance Characteristics |
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110 | (1) |
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8.3.2 Performance of the DSN Antennas with LQG Controllers |
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111 | (2) |
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8.3.3 Disturbance Rejection Properties and the Position-Loop Bandwidth |
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113 | (2) |
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8.3.4 Performance Comparison of the PI and LQG Controllers |
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115 | (2) |
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8.3.5 Limits of Performance |
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117 | (1) |
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8.4 Tuning a LQG Controller Using GUI |
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117 | (7) |
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8.4.1 Selecting LQG Weights |
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117 | (2) |
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8.4.2 GUI for the LQG Controller Tuning |
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119 | (2) |
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8.4.3 Fine Tuning of the LQG Controller |
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121 | (3) |
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8.5 LQG Controller in the Velocity Loop |
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124 | (11) |
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8.5.1 Position Loop Bandwidth Depends on the Velocity Loop |
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124 | (3) |
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8.5.2 Four Control Configurations |
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127 | (1) |
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127 | (2) |
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129 | (3) |
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132 | (1) |
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132 | (1) |
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133 | (2) |
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135 | (10) |
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135 | (3) |
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9.2 Tracking H∞ Controller |
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138 | (1) |
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9.3 Closed-Loop Equations of the Tracking H∞ Controller |
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138 | (1) |
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139 | (2) |
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9.5 Limits of Performance |
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141 | (4) |
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142 | (3) |
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145 | (12) |
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145 | (4) |
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10.1.1 Rigid Antenna with Velocity and Position Loops |
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145 | (2) |
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10.1.2 Rigid Antenna with Position Loop Only |
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147 | (1) |
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10.1.3 Simulation Results |
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148 | (1) |
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149 | (8) |
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155 | (2) |
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157 | (26) |
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11.1 Velocity and Acceleration Limits |
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157 | (9) |
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11.1.1 Command Preprocessor |
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157 | (5) |
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11.1.2 Anti-Windup Technique |
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162 | (4) |
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166 | (8) |
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11.2.1 Dry Friction Model |
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168 | (2) |
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11.2.2 Low-Velocity Tracking Using Dither |
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170 | (3) |
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11.2.3 Non-linear Simulation Results |
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173 | (1) |
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174 | (9) |
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11.3.1 Backlash and Its Prevention |
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175 | (2) |
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11.3.2 The Velocity Loop Model with Friction and Backlash |
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177 | (4) |
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181 | (2) |
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183 | (28) |
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12.1 Selecting the RF Beam Controller |
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183 | (4) |
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187 | (7) |
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187 | (1) |
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12.2.2 Disturbance Rejection Properties |
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188 | (2) |
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12.2.3 Stability Due to the Gain Variation |
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190 | (1) |
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12.2.4 Performance Simulations: Linear Model |
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190 | (1) |
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12.2.5 Performance Simulations: Nonlinear Model |
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191 | (3) |
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194 | (17) |
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194 | (6) |
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12.3.2 Sliding Window Conscan |
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200 | (1) |
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201 | (3) |
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204 | (2) |
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12.3.5 Performance Evaluation |
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206 | (3) |
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209 | (2) |
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13 Track-Level Compensation |
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211 | (12) |
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13.1 Description of the Track-Level Problem |
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211 | (2) |
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13.2 Collection and Processing of the Inclinometer Data |
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213 | (2) |
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13.3 Estimating Azimuth Axis Tilt |
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215 | (2) |
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13.4 Creating the TLC Table |
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217 | (2) |
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13.5 Determining Pointing Errors from the TLC Table |
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219 | (2) |
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13.6 Antenna Pointing Improvement Using the TLC Table |
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221 | (2) |
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222 | (1) |
Index |
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223 | |