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CDC
2008
IEEE

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

11 years 7 months ago
Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties
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.
Lixian Zhang, Peng Shi, Michael V. Basin
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Lixian Zhang, Peng Shi, Michael V. Basin
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