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Title: Robust stability analysis of linear systems with affine parameter uncertainties
Authors: Yang, G.-H. 
Lum, K.-Y. 
Keywords: Linear matrix inequalities
Linear systems
Parameter uncertainty
Parameter-dependent lyapunov function
Robust stability
Issue Date: 2005
Citation: Yang, G.-H.,Lum, K.-Y. (2005). Robust stability analysis of linear systems with affine parameter uncertainties. IFAC Proceedings Volumes (IFAC-PapersOnline) 16 : 535-540. ScholarBank@NUS Repository.
Abstract: This paper is concerned with the problem of robust stability of a class of uncertain linear systems, where the system state-matrices considered are affinely dependent on the uncertain parameters. Affine parameter-dependent Lyapunov functions are exploited to prove stability, and a robust stability criterion for the above class of systems to be affinely quadratically stable (AQS) is given in terms of linear matrix inequalities (LMIs). A comparison with the existing tests for AQS is given, and it is shown that the robust stability criterion provides a test that is not more conservative than the existing tests. Numerical examples are given to illustrate the results. Copyright © 2005 IFAC.
Source Title: IFAC Proceedings Volumes (IFAC-PapersOnline)
ISBN: 008045108X
ISSN: 14746670
Appears in Collections:Staff Publications

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