Transformations of a class of time-varying multivariable control systems to block companion forms
type: Item
instance of: scholarly article
title: Transformations of a class of time-varying multivariable control systems to block companion forms
zbMATH Open document ID: 0634.93013
DOI: 10.1016/0898-1221(87)90059-9
author: J. M. Navarro
author: Leang-San Shieh
author: Sekar Ganesan
publication date: 1987-01-01T00:00:00Z
review text: Transformation of time-varying multivariable systems into canonical form is presented. For a controllable canonical transformation, n must be divisible by m, the number of inputs. It is shown that the system can be transformed into canonical form if and only if \(\{A(t),B(t)\}\) is uniformly controllable with controllability index \(r=n/m\). Likewise, for an observable canonical transformation, n must be divisible by p, the number of outputs. It is shown that the system can be transformed into observable canonical form if and only if \(\{C(t),A(t)\}\) is uniformly observable with observability index \(q=n/p\). The procedure of this paper is an extension of that of the first author and \textit{Y. T. Tsay} [IEEE Trans. Autom. Contr. AC-27, 199-203 (1982; Zbl 0471.93016)].
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4033584
zbMATH Keywords: time-dependent
reviewed by: Kunihiko Ichikawa
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90059-9
OpenAlex ID: W1963493421
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4033584