Minimal multirealization of MIMO linear systems

Author

Su, Steven Weidong ; Anderson, Brian D O ; Brinsmead, Thomas S.

Volume

51

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

690

Lastpage

695

Abstract

This note explores the minimal multirealization problem, which is the determination of a minimal degree, parameter-dependent, state variable description to express a finite set of linear multivariable systems. The form of the parameter-dependent state variable description is selected as a feedback form to implement "state sharing" and "bumpless transfer," which are possible ways to improve poor transient responses for switching control. The problem is solved by finding a special kind of minimal multiplier for a finite set of polynomial matrices.

Keywords

MIMO systems; feedback; linear systems; polynomial matrices; time-varying systems; transient response; MIMO linear systems; bumpless transfer; feedback form; linear multivariable systems; minimal degree description; minimal multiplier; minimal multirealization problem; parameter-dependent state variable description; polynomial matrices; poor transient response improvement; state sharing; switching control; Adaptive control; Australia Council; Control systems; Linear feedback control systems; Linear systems; MIMO; Polynomials; Signal generators; State feedback; Switching systems; Linear multivariable systems; multiple model adaptive control; switching systems; system multirealization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.872770

Filename

1618849