Strict linear matrix inequality characterisation of positive realness for linear discrete-time descriptor systems
Strict linear matrix inequality characterisation of positive realness for linear discrete-time descriptor systems
- Author(s): B. Zhou ; J. Hu ; G.-R. Duan
- DOI: 10.1049/iet-cta.2008.0597
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- Author(s): B. Zhou 1 ; J. Hu 1 ; G.-R. Duan 1
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View affiliations
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Affiliations:
1: Centre for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, People's Republic of China
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Affiliations:
1: Centre for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, People's Republic of China
- Source:
Volume 4, Issue 7,
July 2010,
p.
1277 – 1281
DOI: 10.1049/iet-cta.2008.0597 , Print ISSN 1751-8644, Online ISSN 1751-8652
Positive realness is an important concept in control theory. For linear discrete-time descriptor systems, the positive realness lemma involves non-strict linear matrix inequality (LMI) and may cause numerical problems in practice. Here, strict LMI characterisation for positive realness for linear discrete-time descriptor systems is established. The new characterisation can be efficiently solved by the standard LMI toolbox and may take important functions in related design problems.
Inspec keywords: control system synthesis; linear systems; discrete time systems; linear matrix inequalities
Other keywords:
Subjects: Discrete control systems; Control system analysis and synthesis methods; Linear algebra (numerical analysis)
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