A New Approach to Stabilization of Chaotic Systems With Nonfragile Fuzzy Proportional Retarded Sampled-Data Control

作者：Zhang, Ruimei; Zeng, Deqiang; Park, Ju H.^*; Liu, Yajuan; Zhong, Shouming

来源：IEEE Transactions on Cybernetics, 2019, 49(9): 3218-3229.

DOI：10.1109/TCYB.2018.2831782

• Chaotic systems
• nonfragile fuzzy proportional retarded sampled-data control
• stabilization
• Wirtinger-inequality-based time-dependent discontinuous (WIBTDD) Lyapunov-Krasovskii functional (LKF)

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.

• 出版日期2019-9
• 单位电子科技大学; 华北电力大学（保定）; 内江师范学院; 华北电力大学