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Numerical Operations with Polynomial Matrices

Application to Multi-Variable Dynamic Compensator Design

  • Book
  • © 1992

Overview

Editors:
  1. Peter Stefanidis
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  2. Andrzej Piotr Paplińnski
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  3. Michael John Gibbard
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 171)

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Table of contents (6 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-8

  3. Polynomial matrices and related operations

    Pages 9-52

  4. Model descriptions and transformations between models

    Pages 53-90

  5. The design of the closed-loop system compensator

    Pages 91-137

  6. Design examples

    Pages 138-171

  7. Conclusions and suggestions for future work

    Pages 172-175

  8. Back Matter

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Keywords

About this book

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.

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