New parameterization of MIMO systems
作者:
LUIGI FORTUNA,
ANTONIO GALLO,
GIUSEPPE NUNNAR,
期刊:
International Journal of Systems Science
(Taylor Available online 1989)
卷期:
Volume 20,
issue 9
页码: 1647-1657
ISSN:0020-7721
年代: 1989
DOI:10.1080/00207728908910248
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The parameterization of MIMO systems in the open-loop balanced representation was introduced by Kabamba (1985) to show the advantages of using the balanced canonical form over other classical canonical forms as regards the guaranteed stability and minimality of the representation. The parameterization of MIMO systems in closed-loop balanced representation is introduced: the stability is guaranteed under particular conditions and the minimality is also assured. The importance that such a type of realization plays is fundamental in the synthesis of MIMO systems with assigned characteristic values; this allows us to investigate, for example, the stability of closed-loop systems with a low-order regulator. Indeed, for a defined class of MIMO systems, the introduced parameterization allows us to derive sufficient conditions for the closed-loop dissipativeness and for the stability of the reduced-order compensator, generalizing some results proved for S1SO systems.
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