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Numerical Operations with Polynomial Matrices
(Englisch)
Application to Multi-Variable Dynamic Compensator Design
Peter Stefanidis & Andrzej P. Paplinski & Michael J. Gibbard

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Numerical Operations with Polynomial Matrices

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  • Springer Gabler
    in Springer-Verlag GmbH
    Heidelberger Platz 3
    DE-14197 Berlin
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  • 4893407

Produktbeschreibung

The purpose of this monograph is to describe a class of com-putational methods, based on polynomial matrices, for thedesign of dynamic compensators for linear multi-variablecontrol systems. The design of the compensator, which may beeither analogue or digital, is based on pole assignment. Amatrix fraction deillegalscription, which employs polynomial matri-ces, is used to represent the system. The design comptuta-tion, however, employs matrices of real numbers rather thanpolynomial matrices. This simplifies the computational pro-cedures which can thus be implementedin commercially-avai-lable software packages. Both transient and steady-stateperformace specifications are included in the design proce-dure which is illustrated by four detailed examples.The monograph should be of interest to research workers andengineers in the field fo multi-variable control. For theformer 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 compensatordesign.
Polynomial matrices and related operations.- Model deillegalscriptions and transformations between models.- The design of the closed-loop system compensator.- Design examples.- Conclusions and suggestions for future work.



Inhaltsverzeichnis



Polynomial matrices and related operations.- Model deillegalscriptions and transformations between models.- The design of the closed-loop system compensator.- Design examples.- Conclusions and suggestions for future work.


Klappentext

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 deillegalscription, 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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