Control Theory for Linear Systems

by Trentelman, Harry L.; Stoorvogel, Anton; Hautus, Malo

• ISBN13: 9781852333164
• ISBN10: 1852333162
• Format: Hardcover
• Copyright: 2001-02-01
• Publisher: Springer Verlag

Summary

Control Theory for Linear Systemsdeals 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.

Table of Contents

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.