Control Theory for Linear Systems / Edition 1

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

Overview

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.

Product Details

ISBN-13:	9781852333164
Publisher:	Springer London
Publication date:	02/23/2001
Series:	Communications and Control Engineering
Edition description:	2001
Pages:	389
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1 Introduction.- 2 Mathematical preliminaries.- 3 Systems with inputs and outputs.- 4 Controlled invariant subspaces.- 5 Conditioned invariant subspaces.- 6(C, A, B)-pairs and dynamic feedback.- 7 System zeros and the weakly unobservable subspace.- 8 System invertibility and the strongly reachable subspace.- 9 Tracking and regulation.- 10 Linear quadratic optimal control.- 11 The H2 optimal control problem.- 12 H? control and robustness.- 13 The state feedback H? control problem.- 14 The H? control problem with measurement feedback.- 15 Some applications of the H? control problem.- A Distributions.- A.1 Notes and references.