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Series | |
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Preface | |
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Preface | |
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Introduction | |
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Notation and Basic Definitions | |
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Control Systems | |
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Linear Tracking Systems | |
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Linear Time-Invariant Tracking Systems | |
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Guidance and Control of Flight Vehicles | |
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Special Tracking Laws | |
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Proportional Navigation Guidance | |
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Cross-Product Steering | |
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Proportional-Integral-Derivative Control | |
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Digital Tracking System | |
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Summary | |
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Exercises | |
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References | |
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Optimal Control Techniques | |
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Introduction | |
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Multi-variable Optimization | |
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Constrained Minimization | |
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Equality Constraints | |
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Inequality Constraints | |
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Optimal Control of Dynamic Systems | |
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Optimality Conditions | |
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The Hamiltonian and the Minimum Principle | |
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Hamilton–Jacobi–Bellman Equation | |
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Linear Time-Varying System with Quadratic Performance Index | |
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Optimal Control with End-Point State Equality Constraints | |
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Euler–Lagrange Equations | |
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Special Cases | |
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Numerical Solution of Two-Point Boundary Value Problems | |
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Shooting Method | |
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Collocation Method | |
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Optimal Terminal Control with Interior Time Constraints | |
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Optimal Singular Control | |
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Tracking Control | |
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Neighboring Extremal Method and Linear Quadratic Control | |
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Stochastic Processes | |
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Stationary Random Processes | |
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Filtering of Random Noise | |
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Kalman Filter | |
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Robust Linear Time-Invariant Control | |
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LQG/LTR Method | |
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H2/H E E Design Methods | |
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Summary | |
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Exercises | |
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References | |
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Optimal Navigation and Control of Aircraft | |
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Aircraft Navigation Plant | |
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Wind Speed and Direction | |
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Navigational Subsystems | |
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Optimal Aircraft Navigation | |
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Optimal Navigation Formulation | |
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Extremal Solution of the Boundary-Value Problem: Long-Range Flight Example | |
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Great Circle Navigation | |
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Aircraft Attitude Dynamics | |
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Translational and Rotational Kinetics | |
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Attitude Relative to the Velocity Vector | |
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Aerodynamic Forces and Moments | |
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Longitudinal Dynamics | |
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Longitudinal Dynamics Plant | |
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Optimal Multi-variable Longitudinal Control | |
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Multi-input Optimal Longitudinal Control | |
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Optimal Airspeed Control | |
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LQG/LTR Design Example | |
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H E E Design Example | |
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Altitude and Mach Control | |
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Lateral-Directional Control Systems | |
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Lateral-Directional Plant | |
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Optimal Roll Control | |
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Multi-variable Lateral-Directional Control: Heading-Hold Autopilot | |
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Optimal Control of Inertia-Coupled Aircraft Rotation | |
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Summary | |
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Exercises | |
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References | |
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Optimal Guidance of Rockets | |
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Introduction | |
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Optimal Terminal Guidance of Interceptors | |
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Non-planar Optimal Tracking System for Interceptors: 3DPN | |
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Flight in a Vertical Plane | |
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Optimal Terminal Guidance | |
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Vertical Launch of a Rocket (Goddard’s Problem) | |
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Gravity-Turn Trajectory of Launch Vehicles | |
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Launch to Circular Orbit: Modulated Acceleration | |
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Launch to Circular Orbit: Constant Acceleration | |
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Launch of Ballistic Missiles | |
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Gravity-Turn with Modulated Forward Acceleration | |
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Modulated Forward and Normal Acceleration | |
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Planar Tracking Guidance System | |
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Stability, Controllability, and Observability | |
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Nominal Plant for Tracking Gravity-Turn Trajectory | |
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Robust and Adaptive Guidance | |
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Guidance with State Feedback | |
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Guidance with Normal Acceleration Input | |
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Observer-Based Guidance of Gravity-Turn Launch Vehicle | |
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Altitude-Based Observer with Normal Acceleration Input | |
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Bi-output Observer with Normal Acceleration Input | |
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Mass and Atmospheric Drag Modeling | |
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Summary | |
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Exercises | |
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References | |
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Attitude Control of Rockets | |
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Introduction | |
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Attitude Control Plant | |
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Closed-Loop Attitude Control | |
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Roll Control System | |
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Pitch Control of Rockets | |
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Pitch Program | |
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Pitch Guidance and Control System | |
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Adaptive Pitch Control System | |
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Yaw Control of Rockets | |
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Summary 295 Exercises | |
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Reference | |
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Spacecraft Guidance Systems | |
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Introduction | |
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Orbital Mechanics | |
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Orbit Equation | |
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Perifocal and Celestial Frames | |
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Time Equation | |
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Lagrange’s Coefficients | |
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Spacecraft Terminal Guidance | |
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Minimum Energy Orbital Transfer | |
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Lambert’s Theorem | |
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Lambert’s Problem | |
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Lambert Guidance of Rockets | |
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Optimal Terminal Guidance of Re-entry Vehicles | |
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General Orbital Plant for Tracking Guidance | |
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Planar Orbital Regulation | |
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Optimal Non-planar Orbital Regulation | |
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Summary | |
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Exercises | |
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References | |
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Optimal Spacecraft Attitude Control | |
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Introduction | |
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Terminal Control of Spacecraft Attitude | |
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Optimal Single-Axis Rotation of Spacecraft | |
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Multi-axis Rotational Maneuvers of Spacecraft | |
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Spacecraft Control Torques | |
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Rocket Thrusters | |
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Reaction Wheels, Momentum Wheels and Control Moment Gyros | |
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Magnetic Field Torque | |
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Satellite Dynamics Plant for Tracking Control | |
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Environmental Torques | |
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Gravity-Gradient Torque | |
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Multi-variable Tracking Control of Spacecraft Attitude | |
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Active Attitude Control of Spacecraft by Reaction Wheels | |
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Summary | |
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Exercises | |
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References | |
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Linear Systems | |
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Definition | |
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Linearization | |
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Solution to Linear State Equations | |
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Homogeneous Solution | |
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General Solution | |
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Linear Time-Invariant System | |
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Linear Time-Invariant Stability Criteria | |
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Controllability of Linear Time-Invariant Systems | |
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Observability of Linear Time-Invariant Systems | |
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Transfer Matrix | |
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Singular Value Decomposition | |
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Linear Time-Invariant Control Design | |
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Regulator Design by Eigenstructure Assignment | |
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Regulator Design by Linear Optimal Control | |
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Linear Observers and Output Feedback Compensators | |
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References | |
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Stability | |
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Preliminaries | |
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Stability in the Sense of Lagrange | |
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Stability in the Sense of Lyapunov | |
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Asymptotic Stability | |
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Global Asymptotic Stability | |
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Lyapunov’s Theorem | |
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Krasovski’s Theorem | |
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Lyapunov Stability of Linear Systems | |
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References | |
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Control of Underactuated Flight Systems | |
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Adaptive Rocket Guidance with Forward Acceleration Input | |
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Thrust Saturation and Rate Limits (Increased Underactuation) | |
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Single- and Bi-output Observers with Forward Acceleration Input | |
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References | |
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Index | |