Multivariable systems reduction via Cauer forms

Goldman, M. J.; Porras, William; Leondes, Cornelius T.

doi:10.1080/00207178108922553

Cited by 28 publications

(1 citation statement)

References 6 publications

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“…The approach has been successfully employed in aircraft control, nuclear reactor control and process control application among others. However, most of the methods currently available for multivariable model reduction are extensions of methods originally developed for SISO systems [1,2] and thus do not address the problem of interaction between the multivariable system components. Some of these methods may even produce unstable models when the original system is stable, or visa versa [3].…”

Section: Introductionmentioning

confidence: 99%

Model Reduction of Linear Multivariable Systems

Argoun

1985

International Conference on Aerospace Sciences and Aviation Tec

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Reduced order models of multivariable systems obtained by available model reduction techniques often fail to preserve the interaction properties of the original systems they represent, and therefore lead to unreliable control systems. A. method is presented which addresses the interaction aspects of multivariable system model reduction and provides insight into the reasons of failure of previous methods.

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Section: Introductionmentioning

confidence: 99%

Model Reduction of Linear Multivariable Systems

Argoun

1985

International Conference on Aerospace Sciences and Aviation Tec

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Multivariable routh‐approximant model reduction method in the time domain

Ramakrishnan¹,

Rao

Koval

1990

Optim Control Appl Methods

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SUMMARYThe time-domain Routh-approximant method for model reduction of large-scale systems is modified and enhanced in this paper. A new transformation matrix that overcomes a limitation of earlier work is proposed. This feature greatly enhances the multivariable method. Some interesting results on symmetry properties are developed in conjunction with a structure example. A sufficiency condition of stability of the reduced-order model is identified. The response of the reduced-order model traces the original system very well. Thus the Routh method offers promise for application in the suboptimal control of large space structures, given its inherent simplicity. KEY WORDS Model reduction Modified transformation matrix Extensions of multivariable systemsStability

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