Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.
| Introduction | p. 1 |
| Mathematical preliminaries | p. 15 |
| Systems with inputs and outputs | p. 37 |
| Controlled invariant subspaces | p. 75 |
| Conditioned invariant subspaces | p. 107 |
| (C, A, B)-pairs and dynamic feedback | p. 125 |
| System zeros and the weakly unobservable subspace | p. 153 |
| System invertibility and the strongly reachable subspace | p. 175 |
| Tracking and regulation | p. 195 |
| Linear quadratic optimal control | p. 211 |
| The H[subscript 2] optimal control problem | p. 237 |
| H[subscript [infinity]] control and robustness | p. 263 |
| The state feedback H[subscript [infinity]] control problem | p. 293 |
| The H[subscript [infinity]] control problem with measurement feedback | p. 309 |
| Some applications of the H[subscript [infinity]] control problem | p. 331 |
| A: Distributions | p. 365 |
| Bibliography | p. 373 |
| Index | p. 385 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9781852333164
ISBN-10: 1852333162
Series: Communications and Control Engineering
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 405
Published: February 2001
Dimensions (cm): 23.5 x 15.5
x 2.3
Weight (kg): 0.747