Numerical Operations with Polynomial Matrices: Application to Multi-Variable Dynamic Compensator Design

✍ Scribed by Peter Stefanidis, Andrzej Piotr Paplińnski, Michael John Gibbard (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1992
• Tongue: English
• Leaves: 213
• Series: Lecture Notes in Control and Information Sciences 171
• Edition: 1
• Category: Library

✦ Synopsis

The purpose of this monograph is to describe a class of com- putational methods, based on polynomial matrices, for the design of dynamic compensators for linear multi-variable control systems. The design of the compensator, which may be either analogue or digital, is based on pole assignment. A matrix fraction description, which employs polynomial matri- ces, is used to represent the system. The design comptuta- tion, however, employs matrices of real numbers rather than polynomial matrices. This simplifies the computational pro- cedures which can thus be implementedin commercially-avai- lable software packages. Both transient and steady-state performace specifications are included in the design proce- dure which is illustrated by four detailed examples. The monograph should be of interest to research workers and engineers in the field fo multi-variable control. For the former it provides some new computational tools for the ap- plication of algebraic methods, for both groups it introdu- ces some new ideas for a more-direct approach to compensator design.

✦ Table of Contents

Introduction....Pages 1-8
Polynomial matrices and related operations....Pages 9-52
Model descriptions and transformations between models....Pages 53-90
The design of the closed-loop system compensator....Pages 91-137
Design examples....Pages 138-171
Conclusions and suggestions for future work....Pages 172-175

✦ Subjects

Control Engineering; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization