Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties

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Zhang, Lixian, Shi, Peng and Basin, Michael (2008) Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties. In: Proceedings of the 47th IEEE Conference on Decision and Control. IEEE, New York, N.Y., pp. 5336-5341.


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.

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Item type Book Section
DOI 10.1109/CDC.2008.4738909
Official URL
ISBN 9781424431236, e9781424431243
Subjects Historical > FOR Classification > 0906 Electrical and Electronic Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID18937, discrete time systems, linear matrix inequalities, robust control, robust stability
Citations in Scopus 2 - View on Scopus
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