Multirealization of Linear Systems

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

doi:10.1109/TCSII.2005.849005

Multirealization of Linear Systems

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

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	442-446
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	52
Issue number	8
DOIs	https://doi.org/10.1109/TCSII.2005.849005
Publication status	Published - Aug 2005

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10.1109/TCSII.2005.849005

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title = "Multirealization of Linear Systems",

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 = "Linear multivariable systems, multiple-model adaptive control (MMAC), switching systems, system multirealization",

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year = "2005",

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AU - Anderson, Brian D.O.

AU - Su, Steven W.

AU - Brinsmead, Thomas S.

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AB - 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.

KW - Linear multivariable systems

KW - multiple-model adaptive control (MMAC)

KW - switching systems

KW - system multirealization

UR - https://www.scopus.com/pages/publications/33645819921

UR - https://users.cecs.anu.edu.au/~briandoa/pubs/hidden/R410AN762.pdf

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DO - 10.1109/TCSII.2005.849005

M3 - Article

SN - 1549-7747

VL - 52

SP - 442

EP - 446

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 8

ER -

Multirealization of Linear Systems

Abstract

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