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H∞ sliding mode control of discrete switched systems with time-varying delays
Yueqiao Han1, Yonggui Kao2, Cunchen Gao3
1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai, 264209, PR China; School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, PR China.
Abstract:
The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.
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