Bezout identity related to reduced-order observer-based controllers for singular systems

Daniel W.C. Ho; Zhiwei Gao

doi:10.1016/S0005-1098(01)00121-2

Bezout identity related to reduced-order observer-based controllers for singular systems

Daniel W.C. Ho, Zhiwei Gao

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

19 Citations (Scopus)

Abstract

A design method of causal reduced-order observer-based controllers for singular systems is presented. A new state-space representation of the Bezout identity for singular systems is developed. A parameterization of all causal reduced-order controllers is also given. The general results given here can be extended to various cases including minimal and full order observer-based controllers. © 2001 Published by Elsevier Science Ltd.

Original language	English
Pages (from-to)	1655-1662
Journal	Automatica
Volume	37
Issue number	10
DOIs	https://doi.org/10.1016/S0005-1098(01)00121-2
Publication status	Published - Oct 2001

Research Keywords

Coprime factorization
Parameterization
Singular systems
System analysis
System synthesis

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title = "Bezout identity related to reduced-order observer-based controllers for singular systems",

abstract = "A design method of causal reduced-order observer-based controllers for singular systems is presented. A new state-space representation of the Bezout identity for singular systems is developed. A parameterization of all causal reduced-order controllers is also given. The general results given here can be extended to various cases including minimal and full order observer-based controllers. {\textcopyright} 2001 Published by Elsevier Science Ltd.",

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author = "Ho, {Daniel W.C.} and Zhiwei Gao",

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T1 - Bezout identity related to reduced-order observer-based controllers for singular systems

AU - Ho, Daniel W.C.

AU - Gao, Zhiwei

PY - 2001/10

Y1 - 2001/10

N2 - A design method of causal reduced-order observer-based controllers for singular systems is presented. A new state-space representation of the Bezout identity for singular systems is developed. A parameterization of all causal reduced-order controllers is also given. The general results given here can be extended to various cases including minimal and full order observer-based controllers. © 2001 Published by Elsevier Science Ltd.

AB - A design method of causal reduced-order observer-based controllers for singular systems is presented. A new state-space representation of the Bezout identity for singular systems is developed. A parameterization of all causal reduced-order controllers is also given. The general results given here can be extended to various cases including minimal and full order observer-based controllers. © 2001 Published by Elsevier Science Ltd.

KW - Coprime factorization

KW - Parameterization

KW - Singular systems

KW - System analysis

KW - System synthesis

UR - http://www.scopus.com/inward/record.url?scp=0035480349&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0035480349&origin=recordpage

U2 - 10.1016/S0005-1098(01)00121-2

DO - 10.1016/S0005-1098(01)00121-2

M3 - RGC 21 - Publication in refereed journal

SN - 0005-1098

VL - 37

SP - 1655

EP - 1662

JO - Automatica

JF - Automatica

IS - 10

ER -

Bezout identity related to reduced-order observer-based controllers for singular systems

Abstract

Research Keywords

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