|Asymptotic Stability of Master-slave Systems Using Sampled-data Controller with Time-delay
Shenghuang He, Yuanqing Wu*, and Yanzhou Li
International Journal of Control, Automation, and Systems, vol. 17, no. 6, pp.1473-1482, 2019
Abstract : In this paper, the synchronization of Chaotic Lur’e systems subject to a periodic sampling is investigated. It is shown that sampling interval is bounded and nonuniform. A modiﬁed free-matrix-based (MFMB) time-dependent Lyapunov functional is developed to capture the information on sampling pattern, which is sufﬁciently used to analyze stability of Chaotic Lur’e systems. For a special case that the sampled-data controller suffers constant input delay, a discontinuous Lyapunov functional is presented based on the vector extension of Wirtinger’s inequality. The obtained stability condition leads to a less computational complexity than some of existing works. A longer value on the calculation of sampling interval is achieved. Two illustrative examples demonstrate the effectiveness of designed methods and less conservatism of the obtained results.
Asymptotical stability, chaotic Lur’e systems, sampled-data control, synchronization