Zhang Ruimei, Zeng Deqiang, Park Ju H, Liu Yajuan, Zhong Shouming
IEEE Trans Cybern. 2019 Sep;49(9):3218-3229. doi: 10.1109/TCYB.2018.2831782. Epub 2018 May 10.
This paper is concerned with the problem of stabilization of chaotic systems via nonfragile fuzzy proportional retarded sampled-data control. Compared with existing sampled-data control schemes, a more practical nonfragile fuzzy proportional retarded sampled-data controller is designed, which involves not only a signal transmission delay but also uncertainties. Based on the Wirtinger inequality, a new discontinuous Lyapunov-Krasovskii functional (LKF), namely, Wirtinger-inequality-based time-dependent discontinuous (WIBTDD) LKF, is the first time to be proposed for sampled-data systems. With the WIBTDD LKF approach and employing the developed estimation technique, a less conservative stabilization criterion is established. The desired fuzzy proportional retarded sampled-data controller can be obtained by solving a set of linear matrix inequalities. Finally, numerical examples are given to demonstrate the effectiveness and advantages of the proposed results.
本文研究了基于非脆弱模糊比例滞后采样数据控制的混沌系统镇定问题。与现有的采样数据控制方案相比，设计了一种更具实用性的非脆弱模糊比例滞后采样数据控制器，该控制器不仅涉及信号传输延迟，还存在不确定性。基于Wirtinger不等式，首次为采样数据系统提出了一种新的不连续Lyapunov-Krasovskii泛函（LKF），即基于Wirtinger不等式的时变不连续（WIBTDD）LKF。利用WIBTDD LKF方法并采用所提出的估计技术，建立了一个保守性较低的镇定准则。通过求解一组线性矩阵不等式可得到期望的模糊比例滞后采样数据控制器。最后，给出数值算例以验证所提结果的有效性和优越性。
