| Introduction | p. 1 |
| Examples of Antennas and Telescopes | p. 1 |
| NASA Deep Space Network | p. 1 |
| Large Millimeter Telescope | p. 1 |
| ESA Deep Space Antennas | p. 2 |
| Atacama Large Millimeter Array | p. 2 |
| Thirty Meter Telescope | p. 3 |
| Green Bank Telescope | p. 4 |
| Effelsberg Telescope | p. 4 |
| Short Description of the Antenna Control System | p. 5 |
| Velocity Loop | p. 6 |
| Position-Loop | p. 7 |
| Antenna and Telescope Literature | p. 7 |
| References | p. 8 |
| Modeling | |
| Analytical Models | p. 11 |
| Rigid Antenna Model | p. 11 |
| Structural Model | p. 12 |
| Finite-Element Model | p. 12 |
| Modal Model | p. 14 |
| State-Space Model | p. 17 |
| Models with Rigid Body Modes | p. 19 |
| Discrete-Time Model | p. 21 |
| Drive Model | p. 24 |
| Motor Model | p. 24 |
| Reducer Model | p. 25 |
| Drive Model | p. 25 |
| Velocity Loop Model | p. 26 |
| Drive Parameter Study | p. 26 |
| Drive Stiffness Factor | p. 27 |
| Drive Inertia Factor | p. 28 |
| References | p. 30 |
| Models from Identification | p. 31 |
| White Noise Testing of the Antenna | p. 31 |
| Purpose and Conditions | p. 31 |
| Test Input and Output | p. 32 |
| Test Configuration | p. 32 |
| Data Processing | p. 34 |
| Basic Relationships for the Discrete-Time Data | p. 37 |
| Identification of the Velocity Loop Model | p. 38 |
| Description of the Velocity Loop Model | p. 39 |
| Identification of the Velocity Loop Model | p. 39 |
| A Comparison of the Analytical and Identified Models | p. 41 |
| Azimuth Model Depends on the Antenna Elevation Position | p. 41 |
| Fundamental Frequency Depends on Antenna Diameter | p. 43 |
| References | p. 44 |
| Model Reduction | p. 45 |
| Why Reduction? | p. 45 |
| Balanced Model Reduction | p. 45 |
| Modal Model Reduction | p. 47 |
| Norms of a Single Mode | p. 47 |
| Norms of a Structure | p. 48 |
| Antenna Model Reduction | p. 49 |
| References | p. 50 |
| Wind Disturbance Models | p. 51 |
| Steady-State Wind Disturbance Model | p. 51 |
| Dimensionless Wind Torques | p. 52 |
| Obtaining Wind Torques from Field Data | p. 54 |
| Comparing Wind Tunnel Results and the Field Data | p. 56 |
| Wind Gusts Disturbance Models | p. 59 |
| Model of Wind Forces Acting on the Dish | p. 60 |
| Model of Wind Torque Acting at the Drives | p. 64 |
| Algorithm to Generate a Time Profile of Wind Gusts Torque | p. 65 |
| Model of Wind at the Velocity Input | p. 66 |
| Algorithm to Generate Time Profile of Wind at the Velocity Input | p. 67 |
| The Equivalence of Wind Torque and Wind Velocity Models | p. 67 |
| Closed Loop Pointing Accuracy with Wind Gusts Disturbances | p. 68 |
| References | p. 70 |
| Control | |
| Preliminaries to Control | p. 73 |
| Performance Criteria | p. 73 |
| Transformations of the Velocity Loop Model | p. 77 |
| Transformation into Modal Coordinates | p. 78 |
| Antenna Position as the First State | p. 78 |
| Augmentation with the Integral of the Position | p. 78 |
| References | p. 79 |
| PI and Feedforward Controllers | p. 81 |
| Properties of the PI Controller | p. 81 |
| Closed Loop Transfer Functions | p. 83 |
| The Proportional Gain Analysis | p. 83 |
| The Integral Gain Analysis | p. 85 |
| PI Controller Tuning Steps | p. 86 |
| Closed Loop Equations of a Flexible Antenna with a PI Controller | p. 87 |
| Performance of the PI Controller | p. 87 |
| Performance Characteristics | p. 87 |
| Limits of Performance | p. 90 |
| Feedforward Controller | p. 91 |
| References | p. 93 |
| LQG Controller | p. 95 |
| Properties of the LQG Controller | p. 95 |
| LQG Controller Description | p. 95 |
| Tracking LQG Controller | p. 98 |
| Closed Loop Equations of the Tracking LQG Control System | p. 101 |
| LQG Weights | p. 101 |
| Resemblance of the LQG and PI Controllers | p. 104 |
| Properties of the LQG Weights | p. 105 |
| Limits of the LQG Gains | p. 107 |
| LQG Controller Tuning Steps | p. 108 |
| Performance of the LQG Controller | p. 110 |
| Summary of the Antenna Servo Performance Characteristics | p. 110 |
| Performance of the DSN Antennas with LQG Controllers | p. 111 |
| Disturbance Rejection Properties and the Position-Loop Bandwidth | p. 113 |
| Performance Comparison of the PI and LQG Controllers | p. 115 |
| Limits of Performance | p. 117 |
| Tuning a LQG Controller Using GUI | p. 117 |
| Selecting LQG Weights | p. 117 |
| GUI for the LQG Controller Tuning | p. 119 |
| Fine Tuning of the LQG Controller | p. 121 |
| LQG Controller in the Velocity Loop | p. 124 |
| Position Loop Bandwidth Depends on the Velocity Loop | p. 124 |
| Four Control Configurations | p. 127 |
| PP Control System | p. 127 |
| PL Control System | p. 129 |
| LP Control System | p. 132 |
| LL Control System | p. 132 |
| References | p. 133 |
| H∞ Controller | p. 135 |
| Definition and Gains | p. 135 |
| Tracking H∞ Controller | p. 138 |
| Closed-Loop Equations of the Tracking H∞ Controller | p. 138 |
| 34-M Antenna Example | p. 139 |
| Limits of Performance | p. 141 |
| References | p. 142 |
| Single Loop Control | p. 145 |
| Rigid Antenna | p. 145 |
| Rigid Antenna with Velocity and Position Loops | p. 145 |
| Rigid Antenna with Position Loop Only | p. 147 |
| Simulation Results | p. 148 |
| 34-M Antenna | p. 149 |
| References | p. 155 |
| Non-Linear Control | p. 157 |
| Velocity and Acceleration Limits | p. 157 |
| Command Preprocessor | p. 157 |
| Anti-Windup Technique | p. 162 |
| Friction | p. 166 |
| Dry Friction Model | p. 168 |
| Low-Velocity Tracking Using Dither | p. 170 |
| Non-linear Simulation Results | p. 173 |
| Backlash | p. 174 |
| Backlash and Its Prevention | p. 175 |
| The Velocity Loop Model with Friction and Backlash | p. 177 |
| References | p. 181 |
| RF Beam Control | p. 183 |
| Selecting the RF Beam Controller | p. 183 |
| Monopulse | p. 187 |
| Command following | p. 187 |
| Disturbance Rejection Properties | p. 188 |
| Stability Due to the Gain Variation | p. 190 |
| Performance Simulations: Linear Model | p. 190 |
| Performance Simulations: Nonlinear Model | p. 191 |
| Scanning | p. 194 |
| Conical Scan | p. 194 |
| Sliding Window Conscan | p. 200 |
| Lissajous Scan | p. 201 |
| Rosette Scan | p. 204 |
| Performance Evaluation | p. 206 |
| References | p. 209 |
| Track-Level Compensation | p. 211 |
| Description of the Track-Level Problem | p. 211 |
| Collection and Processing of the Inclinometer Data | p. 213 |
| Estimating Azimuth Axis Tilt | p. 215 |
| Creating the TLC Table | p. 217 |
| Determining Pointing Errors from the TLC Table | p. 219 |
| Antenna Pointing Improvement Using the TLC Table | p. 221 |
| References | p. 222 |
| Index | p. 223 |
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