Control Theory for Linear Systems

✍ Scribed by Harry L. Trentelman PhD, Anton A. Stoorvogel PhD, Malo Hautus PhD (auth.)

• Publisher: Springer-Verlag London
• Year: 2001
• Tongue: English
• Leaves: 392
• Series: Communications and Control Engineering
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xv
Introduction....Pages 1-14
Mathematical preliminaries....Pages 15-35
Systems with inputs and outputs....Pages 37-73
Controlled invariant subspaces....Pages 75-106
Conditioned invariant Subspaces....Pages 107-124
(C, A, B) -pairs and dynamic feedback....Pages 125-151
System zeros and the weakly unobservable subspace....Pages 153-173
System invertibility and the strongly reachable subspace....Pages 175-193
Tracking and regulation....Pages 195-209
Linear quadratic optimal control....Pages 211-235
The H 2 optimal control problem....Pages 237-261
H ∞ control and robustness....Pages 263-291
The state feedback H ∞ control problem....Pages 293-308
The H ∞ control problem with measurement feedback....Pages 309-329
Some applications of the H ∞ control problem....Pages 331-363
Back Matter....Pages 365-389

✦ Subjects

Control, Robotics, Mechatronics; Mechanical Engineering; Systems Theory, Control