Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation

Author

Vardulakis, A.I.G.

Author_Institution

The City University, Northampton Square, London, England

Volume

32

Issue

8

fYear

1987

fDate

8/1/1987 12:00:00 AM

Firstpage

735

Lastpage

739

Abstract

We consider the problem of internally stabilizing and simultaneously diagonally decoupling a linear multivariable system by unity output feedback compensation. A sufficient condition is derived for the existence of a cascade proper compensator $C(s)$ such that when employed in a unity feedback loop involving the proper transfer function matrix Poof a free of unstable hidden modes system $\\Sigma (P_{o})$ , will not only internally stabilize the feedback closed-loop system $\\Sigma (P_{o}, C)$ but will also give rise to a closed-loop transfer function matrix $H_{yr}^{diag}$ , which is nonsingular, diagonal, and has desired poles. Based on this analysis, an algorithmic procedure for the computation of such a compensator is presented.

Keywords

Decoupling of systems, linear; Multivariable systems; Output feedback, linear systems; Stability, linear systems; Algorithm design and analysis; Control engineering; Feedback loop; MIMO; Output feedback; Poles and zeros; Polynomials; Sufficient conditions; Symmetric matrices; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1987.1104701

Filename

1104701