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A New Approach to Stabilization of Chaotic Systems With Nonfragile Fuzzy Proportional Retarded Sampled-Data Control
IEEE Transactions on Cybernetics ( IF 11.8 ) Pub Date : 2019-09-01 , DOI: 10.1109/tcyb.2018.2831782
Ruimei Zhang , Deqiang Zeng , Ju H. Park , Yajuan Liu , Shouming Zhong

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.

中文翻译:

具有非脆弱模糊比例滞后采样数据控制的混沌系统稳定新方法

本文关注的是通过非脆弱模糊比例滞后采样数据控制来稳定混沌系统的问题。与现有的采样数据控制方案相比,设计了一种更实用的非脆弱模糊比例延迟采样数据控制器,该控制器不仅涉及信号传输的延迟,而且还涉及不确定性。基于Wirtinger不等式,新的不连续Lyapunov–Krasovskii函数(LKF),即基于Wirtinger不等式的时变不连续(WIBTDD)LKF,是首次针对采样数据系统提出。使用WIBTDD LKF方法并采用发达的估算技术,建立了一个不太保守的稳定标准。可以通过求解一组线性矩阵不等式来获得所需的模糊比例滞后采样数据控制器。
更新日期:2019-09-01
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