Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems
Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems
- Author(s): X. Gao ; K.L. Teo ; G.-R. Duan ; X. Zhang
- DOI: 10.1049/iet-cta.2010.0145
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- Author(s): X. Gao 1, 2 ; K.L. Teo 1, 3 ; G.-R. Duan 1 ; X. Zhang 2
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View affiliations
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Affiliations:
1: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, People's Republic of China
2: School of Mathematical Science, Heilongjiang University, Harbin, People's Republic of China
3: Department of Mathematics and Statistics, Curtin University, Perth, Australia
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Affiliations:
1: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, People's Republic of China
- Source:
Volume 5, Issue 5,
17 March 2011,
p.
713 – 720
DOI: 10.1049/iet-cta.2010.0145 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.
Inspec keywords: discrete time systems; robust control; linear matrix inequalities
Other keywords:
Subjects: Linear algebra (numerical analysis); Stability in control theory; Discrete control systems
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