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Type: Conference paper
Title: Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties
Author: Zhang, L.
Shi, P.
Basin, M.
Citation: Proceedings of the 47th IEEE Conference on Decision and Control, 2008 / pp.5336-5341
Publisher: IEEE
Publisher Place: USA
Issue Date: 2008
ISBN: 9781424431243
ISSN: 0191-2216
Conference Name: 47th IEEE Conference on Decision and Control (CDC) (09 Dec 2008 - 11 Dec 2008 : Cancun, Mexico)
Statement of
Lixian Zhang, Peng Shi, Michael Basin
Abstract: This paper studies the robust stability and stabilization problems for switched linear discrete-time systems. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee the stability of the uncertain system. Then, a control law is designed so that the resulting closed-loop system is stable for all admissible uncertainties. A linear matrix inequality (LMIs) approach, together with a cone complementary linearization algorithm, is proposed to solve the above problems. A numerical example is given to show the potential applicability of the obtained theoretic results.
Rights: ©2008 IEEE
RMID: 0020128405
DOI: 10.1109/CDC.2008.4738909
Appears in Collections:Electrical and Electronic Engineering publications

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