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This paper investigates the problem of robust H2 state-feedback control design for continuous-time switched linear systems with polytopic uncertainties. An LMI-based robust H2 control synthesis approach is proposed via multiple parameter-dependent Lyapunov functions and average dwell time technique. The proposed parameter-dependent Lyapunov function approach potentially is less conservative than the...
This paper is concerned with the problem of robust Hinfin filtering for discrete-time switched linear systems with polytopic uncertainties in finite frequency domain. Based on generalized Kalman-Yakubovich-Popov (GKYP) lemma and switched Lyapunov functions, a switched full-order filter is designed such that the corresponding filtering error system is asymptotically stable and satisfies a prescribed...
This paper is concerned with the problem of robust H2 filtering for continuous-time switched linear systems subject to polytopic uncertainties. Based on multiple parameter dependent Lyapunov functions combined with average dwell time approach, a switched full-order filter is designed such that the filtering error system under switching signal with average dwell time is exponentially stable and achieves...
This paper investigates the problem of Hinfin filtering for discrete-time switched linear systems under arbitrary switching laws. New LMI-based conditions for the solvability of the problem are given via switched quadratic Lyapunov functions. By Finsler's lemma, two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guaranteed Hinfin...
This paper investigates the problem of Hinfin static output feedback (SOF) control for discrete-time switched linear systems with average dwell time switching. By using the multiple Lyapunov function technique, a switched SOF controller is designed such that the closed-loop system is exponentially stable and achieves a weighted L2-gain. Sufficient conditions for SOF control are derived and formulated...
This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching laws. Based on a switched quadratic Lyapunov function, new sufficient LMI conditions for SOF stabilization are obtained which guarantee a gamma-performance of the closed-loop switched systems subject to external disturbances. More importantly, by using Finler's...
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