Improved synchronization criteria for time-delayed chaotic Lur'e systems using sampled-data control

[摘要] This paper is concerned with the synchronization for a class of time-delayed chaotic Lur'e systems using sampled-data control. Both of time-varying and time-invariant delays are considered. New criteria are proposed in terms of linear matrix inequalities (LMIs) by employing a modified LKF combined with the delay-fraction theory and some novel terms. The criteria are less conservative than some previous ones and a longer sampling period is achieved under the new results. Furthermore, the derived conditions are employed to design a sampled-data controller. The desired controller gain matrix can be obtained by means of the LMI approach. Finally, a numerical examples and simulations on Chua's circuit is presented to show the effectiveness of the proposed approach.

[发布机构] School of Electrical Engineering, YanCheng Institute of Technology, YanCheng JiangSu, China^1;Dean's Office, Yancheng Biological Engineering Higher Vocational Technology School, YanCheng JiangSu, China^2;School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China^3

[效力级别] 数学

[关键词] Chua's circuit;Controller gain;Linear Matrix Inequalities (LMIs);Lur'e systems;Sampled-data control;Sampled-data controller;Sampling period;Time-invariant delays