Multirealization of Linear Systems

Author

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

Author_Institution

Australian Nat. Univ. & Nat. ICT Australia, Acton, ACT, Australia

Volume

52

Issue

8

fYear

2005

Firstpage

442

Lastpage

446

Abstract

For multiple-model adaptive control systems, “multi-controller” architecture can be efficiently implemented (multirealized) by means of a “state-shared” parameter-dependent feedback system. Necessary and sufficient conditions for the multirealization of a family of linear multivariable systems based on matrix fractional descriptions are presented. The problem of the minimal generic multirealization of a set of linear systems is introduced and solved.

Keywords

adaptive control; linear systems; matrix algebra; multivariable control systems; realisation theory; stability; state-space methods; linear multivariable systems; linear systems; matrix fractional descriptions; multi-controller architecture; multiple-model adaptive control systems; multivariable control systems; realisation theory; stability; state-shared parameter-dependent feedback system; state-space methods; system multirealization; Adaptive control; Australia Council; Closed loop systems; Control systems; Feedback; Linear systems; MIMO; Signal generators; Switched systems; Transfer functions; Linear multivariable systems; multiple-model adaptive control (MMAC); switching systems; system multirealization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.849005

Filename

1495746