The decoupling of multivariable systems using matrix polynomial equations

Y. Shamash; J. Felnstein

doi:10.1080/00207727608941962

The decoupling of multivariable systems using matrix polynomial equations

Y. Shamash
, J. Felnstein

Electrical Engineering

Stony Brook University

Tel Aviv University

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

Abstract

A matrix polynomial equation is derived which governs the behaviour of time-invariant multivariable systems under linear state variable feedback. This is used to derive the f-invariants of the system. The problem of decoupling is considered using this matrix polynomial equation and conditions for decoupling are easily derived from it. An algorithm for decoupling is then presented. Examples are given to illustrate the procedure.

Original language	English
Pages (from-to)	759-768
Number of pages	10
Journal	International Journal of Systems Science
Volume	7
Issue number	7
DOIs	https://doi.org/10.1080/00207727608941962
State	Published - Jul 1976

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10.1080/00207727608941962

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title = "The decoupling of multivariable systems using matrix polynomial equations",

abstract = "A matrix polynomial equation is derived which governs the behaviour of time-invariant multivariable systems under linear state variable feedback. This is used to derive the f-invariants of the system. The problem of decoupling is considered using this matrix polynomial equation and conditions for decoupling are easily derived from it. An algorithm for decoupling is then presented. Examples are given to illustrate the procedure.",

author = "Y. Shamash and J. Felnstein",

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AB - A matrix polynomial equation is derived which governs the behaviour of time-invariant multivariable systems under linear state variable feedback. This is used to derive the f-invariants of the system. The problem of decoupling is considered using this matrix polynomial equation and conditions for decoupling are easily derived from it. An algorithm for decoupling is then presented. Examples are given to illustrate the procedure.

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JO - International Journal of Systems Science

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The decoupling of multivariable systems using matrix polynomial equations

Abstract

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