Simultaneous H∞ control for continuous-time descriptor systems
Simultaneous H∞ control for continuous-time descriptor systems
- Author(s): Y. Feng ; M. Yagoubi ; P. Chevrel
- DOI: 10.1049/iet-cta.2009.0550
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- Author(s): Y. Feng 1, 2 ; M. Yagoubi 1, 2 ; P. Chevrel 1, 2
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View affiliations
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Affiliations:
1: IRCCyN (Communications and Cybernetic Research Institute of Nantes) UMR CNRS 6597, Nantes, France
2: Automation and Production Department, Ecole des Mines de Nantes, Nantes, France
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Affiliations:
1: IRCCyN (Communications and Cybernetic Research Institute of Nantes) UMR CNRS 6597, Nantes, France
- Source:
Volume 5, Issue 1,
6 January 2011,
p.
9 – 18
DOI: 10.1049/iet-cta.2009.0550 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study addresses the simultaneous H∞ control problem for continuous-time descriptor systems, namely, a single controller is sought to stabilise a collection of descriptor systems with a prescribed H∞ norm. First, this problem is transformed equivalently to the strong H∞ stabilisation problem of an augmented system. Then, a sufficient condition of the existence of strongly admissible H∞ controllers is proposed in terms of strict linear matrix inequalities. Finally, numerical examples are presented to show the effectiveness of the proposed method.
Inspec keywords: continuous time systems; H∞ control; linear matrix inequalities; stability
Other keywords:
Subjects: Stability in control theory; Optimal control; Linear algebra (numerical analysis)
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