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$H_{\infty}$ output-feedback control for switched linear discrete-time systems with time-varying delays. (English) Zbl 1133.93316
Summary: The problem of $H_{\infty}$ output feedback control for switched linear discrete-time systems with time delays is investigated. The time delay is assumed to be time-varying and bounded. By constructing a switched quadratic Lyapunov function for the underlying system, both static and dynamic $H_{\infty}$ output feedback controllers are designed respectively such that the corresponding closed-loop system under arbitrary switching signals is asymptotically stable and a prescribed $H_{\infty}$ noise-attenuation level bound is guaranteed. A cone complementary linearization algorithm is exploited to design the controllers. A numerical example is presented to show the effectiveness of the developed theoretical results.

93B51Design techniques in systems theory
93C55Discrete-time control systems
93C05Linear control systems
93D30Scalar and vector Lyapunov functions
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