Advanced Control of Aircraft, Spacecraft and Rockets (eBook)

Ashish Tewari is a Professor in the Department of Aerospace Engineering at the IIT-Kanpur. He specializes in flight mechanics and control, and his research areas include attitude dynamics and control, re-entry flight dynamics and control, non-linear optimal control and active control of flexible flight and structures. He has authored 2 books Atmospheric and Space Flight Dynamics and Modern Control Design with MATLAB and SIMULINK, and over 40 refereed journal and conference papers.

Series Preface.

Preface.

1 Introduction.

1.1 Notation and Basic Definitions.

1.2 Control Systems.

1.3 Guidance and Control of Flight Vehicles.

1.4 Special Tracking Laws.

1.5 Digital Tracking System.

1.6 Summary.

2 Optimal Control Techniques.

2.1 Introduction.

2.2 Multi-variable Optimization.

2.3 Constrained Minimization.

2.4 Optimal Control of Dynamic Systems.

2.5 The Hamiltonian and the Minimum Principle.

2.6 Optimal Control with End-Point State Equality Constraints.

22.7 Numerical Solution of Two-Point Boundary Value Problems.

2.8 Optimal Terminal Control with Interior Time Constraints.

2.9 Tracking Control.

2.10 Stochastic Processes.

2.11 Kalman Filter.

2.12 Robust Linear Time-Invariant Control.

2.13 Summary.

3 Optimal Navigation and Control of Aircraft.

3.1 Aircraft Navigation Plant.

3.2 Optimal Aircraft Navigation.

3.3 Aircraft Attitude Dynamics.

3.4 Aerodynamic Forces and Moments.

3.5 Longitudinal Dynamics.

3.6 Optimal Multi-variable Longitudinal Control.

3.7 Multi-input Optimal Longitudinal Control.

3.8 Optimal Airspeed Control.

3.9 Lateral-Directional Control Systems.

3.9.1 Lateral-Directional Plant.

3.10 Optimal Control of Inertia-Coupled Aircraft Rotation.

3.11 Summary.

4 Optimal Guidance of Rockets.

4.1 Introduction.

4.2 Optimal Terminal Guidance of Interceptors.

4.3 Non-planar Optimal Tracking System for Interceptors: 3DPN.

4.4 Flight in a Vertical Plane.

4.5 Optimal Terminal Guidance.

4.6 Vertical Launch of a Rocket (Goddard's Problem).

4.7 Gravity-Turn Trajectory of Launch Vehicles.

4.8 Launch of Ballistic Missiles.

4.9 Planar Tracking Guidance System.

4.10 Robust and Adaptive Guidance.

4.11 Guidance with State Feedback.

4.12 Observer-Based Guidance of Gravity-Turn Launch Vehicle.

4.13 Mass and Atmospheric Drag Modeling.

4.14 Summary.

5 Attitude Control of Rockets.

5.1 Introduction.

5.2 Attitude Control Plant.

5.3 Closed-Loop Attitude Control.

5.4 Roll Control System.

5.5 Pitch Control of Rockets.

5.6 Yaw Control of Rockets.

5.7 Summary.

6 Spacecraft Guidance Systems.

6.1 Introduction.

6.2 Orbital Mechanics.

6.3 Spacecraft Terminal Guidance.

6.4 General Orbital Plant for Tracking Guidance.

6.5 Planar Orbital Regulation.

6.6 Optimal Non-planar Orbital Regulation.

6.7 Summary.

7 Optimal Spacecraft Attitude Control.

7.1 Introduction.

7.2 Terminal Control of Spacecraft Attitude.

7.3 Multi-axis Rotational Maneuvers of Spacecraft.

7.4 Spacecraft Control Torques.

7.5 Satellite Dynamics Plant for Tracking Control.

7.6 Environmental Torques.

7.7 Multi-variable Tracking Control of Spacecraft Attitude.

7.8 Summary.

Appendix A: Linear Systems.

A.1 Definition.

A.2 Linearization.

A.3 Solution to Linear State Equations.

A.4 Linear Time-Invariant System.

A.5 Linear Time-Invariant Stability Criteria.

A.6 Controllability of Linear Time-Invariant Systems.

A.7 Observability of Linear Time-Invariant Systems.

A.8 Transfer Matrix.

A.9 Singular Value Decomposition.

A.10 Linear Time-Invariant Control Design.

Appendix B: Stability.

B.1 Preliminaries.

B.2 Stability in the Sense of Lagrange.

B.3 Stability in the Sense of Lyapunov.

Appendix C: Control of Underactuated Flight Systems.

C.1 Adaptive Rocket Guidance with Forward Acceleration Input.

C.2 Thrust Saturation and Rate Limits (Increased Underactuation).

C.3 Single- and Bi-output Observers with Forward Acceleration Input.

References.

Index.