From Signal Processing, Optimization, and Control

Control System Synthesis

A Factorization Approach

By Mathukumalli Vidyasagar




This book is the first comprehensive treatment of the "fractional representation" approach to linear feedback system design and analysis, an approach that has recently taken the control theory field by storm. It unfolds several basic themes, virtually all of which are new and which are destined to play a fundamental role in algebraic system theory in years to come. It offers a very basic introduction to the factorization method for scalar systems and a thorough treatment of coprime factorizations including H∞ theory.

ContentsIntroduction • Proper Stable Rational Functions • Scalar Systems: An Introduction • Matrix Rings • Stabilization • Filtering and Sensitivity Minimization • Robustness • Extensions to General Settings • Appendixes: Algebraic Preliminaries, Preliminaries on Matrix Rings, Topological Preliminaries • References and Index

Control System Synthesis is seventh in the MIT Press Signal Processing, Optimization, and Control Series, edited by Alan S. Willsky.


Out of Print ISBN: 9780262220279 420 pp. | 6 in x 9 in


Out of Print ISBN: 9780262720120 420 pp. | 6 in x 9 in