Control system synthesis
Subtitle: a factorization approach
By: Mathukumalli Vidyasagar
Series: Synthesis lectures on control and mechatronics -- # 3
Publisher: Morgan & Claypool
Published: 2011
Place of publication: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA)
Language: eng
Format: [electronic resource] /
ISBN-13: 9781608456635; 9781608456611
Subjects: Control theory; Mathematical models; Feedback control systems; Linear control systems; Factorization (Mathematics)
Other titles: Synthesis digital library of engineering and computer science.
Description: This book introduces the so-called "stable factorization approach" to the synthesis of feedback controllers for linear control systems. The key to this approach is to view the multi-input, multioutput (MIMO) plant for which one wishes to design a controller as a matrix over the fraction field F associated with a commutative ring with identity, denoted by R, which also has no divisors of zero. In this setting, the set of single-input, single-output (SISO) stable control systems is precisely the ring R, while the set of stable MIMO control systems is the set of matrices whose elements all belong to R. The set of unstable, meaning not necessarily stable, control systems is then taken to be the field of fractions F associated with R in the SISO case, and the set of matrices with elements in F in the MIMO case.
Notes: Part of: Synthesis digital library of engineering and computer science.

Series from website.

This is a reprint of the book Control System Synthesis: A Factorization Approach originally published by M.I.T. Press in 1985.

Includes bibliographical references (p. 347-356) and index.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.
Table of contents: title: Preface; title: Preface for the original edition; title: 6. Filtering and sensitivity minimization; title: 6.1. Problem statement; title: 6.2. Some facts about hardy spaces; title: 6.3. Filtering; title: 6.4. Sensitivity minimization: scalar case; title: 6.5. Sensitivity minimization: fat plant case; title: 6.6. Sensitivity minimization: general case; title: 6.7. Two-parameter compensator; title: 7. Robustness; title: 7.1. Introduction; title: 7.2. Graph topology; title: 7.3. Graph metric; title: 7.4. Robustness conditions; title: 7.5. Robust and optimal regulation; title: 7.6. Genericity; title: 8. Extensions to general settings; title: 8.1 Coprime factorizations over a commutative ring; title: 8.2. Coprime factorizations for distributed systems; title: 8.3. Controller synthesis over a general ring; title: A. Algebraic preliminaries; title: Rings, fields and ideals; title: Rings and fields of fractions; title: Principal ideal domains; title: Euclidean domains; title: B. Preliminaries on matrix rings; title: Matrices and determinants; title: Canonical forms; title: C. Topological preliminaries; title: Topological spaces; title: Topological rings and normed algebras; title: Bibliography; title: Author's biography; title: Index.