Decoupling with internal stability for unity output feedback systems

Qing Guo Wang

doi:10.1016/0005-1098(92)90128-3

Decoupling with internal stability for unity output feedback systems

Qing Guo Wang

National University of Singapore

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

23 Citations (Scopus)

Abstract

This paper presents, for the first time, a necessary and sufficient condition for solvability of the decoupling problem with internal stability for square plants by unit output feedback compensation. It consists of some polynomial matrix coprimeness conditions and is concerned only with the greatest C⁺-divisor of the plant. Parameterizations of all decoupling compensators and achievable diagonal loop maps with internal stabilizability are given, and the results are also generalized in a very natural way to the decoupling problem with arbitrary pole assignment. Examples are included for illustration.

Original language	English
Pages (from-to)	411-415
Number of pages	5
Journal	Automatica
Volume	28
Issue number	2
DOIs	https://doi.org/10.1016/0005-1098(92)90128-3
Publication status	Published - Mar 1992
Externally published	Yes

Keywords

Decoupling
multivariable systems
polynomial matrix fractions
stabilizability
strict adjoints
unity feedback

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/0005-1098(92)90128-3

Cite this

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title = "Decoupling with internal stability for unity output feedback systems",

abstract = "This paper presents, for the first time, a necessary and sufficient condition for solvability of the decoupling problem with internal stability for square plants by unit output feedback compensation. It consists of some polynomial matrix coprimeness conditions and is concerned only with the greatest C+-divisor of the plant. Parameterizations of all decoupling compensators and achievable diagonal loop maps with internal stabilizability are given, and the results are also generalized in a very natural way to the decoupling problem with arbitrary pole assignment. Examples are included for illustration.",

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N2 - This paper presents, for the first time, a necessary and sufficient condition for solvability of the decoupling problem with internal stability for square plants by unit output feedback compensation. It consists of some polynomial matrix coprimeness conditions and is concerned only with the greatest C+-divisor of the plant. Parameterizations of all decoupling compensators and achievable diagonal loop maps with internal stabilizability are given, and the results are also generalized in a very natural way to the decoupling problem with arbitrary pole assignment. Examples are included for illustration.

AB - This paper presents, for the first time, a necessary and sufficient condition for solvability of the decoupling problem with internal stability for square plants by unit output feedback compensation. It consists of some polynomial matrix coprimeness conditions and is concerned only with the greatest C+-divisor of the plant. Parameterizations of all decoupling compensators and achievable diagonal loop maps with internal stabilizability are given, and the results are also generalized in a very natural way to the decoupling problem with arbitrary pole assignment. Examples are included for illustration.

KW - Decoupling

KW - multivariable systems

KW - polynomial matrix fractions

KW - stabilizability

KW - strict adjoints

KW - unity feedback

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DO - 10.1016/0005-1098(92)90128-3

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SP - 411

EP - 415

JO - Automatica

JF - Automatica

IS - 2

ER -

Decoupling with internal stability for unity output feedback systems

Abstract

Keywords

ASJC Scopus subject areas

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