Decoupling of multivariable control systems over unique factorization domains

K.B. Datta; M.L.J. Hautus

doi:10.1137/0322003

Decoupling of multivariable control systems over unique factorization domains

K.B. Datta
, M.L.J. Hautus

Center for Analysis, Scientific Computing and Applications

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

21 Citations (Scopus)

366 Downloads (Pure)

Abstract

Necessary and sufficient conditions are established for the existence of a state variable feedback decoupling of an $m$-input, $m$-output time invariant linear control system over a unique factorization domain. An explicit computation is provided for the feedback and the feedforward gain matrix. Also necessary and sufficient conditions for the existence of a stability-preserving state feedback decoupling are given. The results are illustrated by some examples.

Original language	English
Pages (from-to)	28-39
Number of pages	12
Journal	SIAM Journal on Control and Optimization
Volume	22
Issue number	1
DOIs	https://doi.org/10.1137/0322003
Publication status	Published - 1984

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title = "Decoupling of multivariable control systems over unique factorization domains",

abstract = "Necessary and sufficient conditions are established for the existence of a state variable feedback decoupling of an \$m\$-input, \$m\$-output time invariant linear control system over a unique factorization domain. An explicit computation is provided for the feedback and the feedforward gain matrix. Also necessary and sufficient conditions for the existence of a stability-preserving state feedback decoupling are given. The results are illustrated by some examples.",

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AU - Hautus, M.L.J.

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AB - Necessary and sufficient conditions are established for the existence of a state variable feedback decoupling of an $m$-input, $m$-output time invariant linear control system over a unique factorization domain. An explicit computation is provided for the feedback and the feedforward gain matrix. Also necessary and sufficient conditions for the existence of a stability-preserving state feedback decoupling are given. The results are illustrated by some examples.

U2 - 10.1137/0322003

DO - 10.1137/0322003

M3 - Article

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SP - 28

EP - 39

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 1

ER -

Decoupling of multivariable control systems over unique factorization domains

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