Less conservative -stability test for polytopic systems using linearly parameter-dependent Lyapunov functions
Less conservative -stability test for polytopic systems using linearly parameter-dependent Lyapunov functions
- Author(s): C. Lin ; Q.-G. Wang ; T.H. Lee
- DOI: 10.1049/ip-cta:20050176
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- Author(s): C. Lin 1 ; Q.-G. Wang 1 ; T.H. Lee 1
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View affiliations
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Affiliations:
1: Department of Electrical and Computer Engineering, National University of Singapore, Singapore, Singapore
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Affiliations:
1: Department of Electrical and Computer Engineering, National University of Singapore, Singapore, Singapore
- Source:
Volume 153, Issue 6,
November 2006,
p.
665 – 670
DOI: 10.1049/ip-cta:20050176 , Print ISSN 1350-2379, Online ISSN 1359-7035
The robust -stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.
Inspec keywords: linear matrix inequalities; uncertain systems; robust control; linear systems; Lyapunov methods
Other keywords:
Subjects: Stability in control theory; Algebra
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