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Synchronization of chaotic systems under sampled-data control. (English) Zbl 1268.93074
Summary: The problem of global asymptotical synchronization of chaotic Lur’e systems using sampled-data controller is considered in this paper. Sufficient conditions are obtained in terms of effective synchronization linear matrix inequality using a piecewise sawtooth structure of the sampling in time by constructing the new discontinuous Lyapunov functionals. The sampled-data feedback control gain is obtained from the derived condition. The Chua system and horizontal platform system are taken for numerical demonstration to show the effectiveness of the proposed condition.

MSC:
93C15 Control/observation systems governed by ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
93D30 Lyapunov and storage functions
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