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

7th International Conference on Applied Physics and Mathematics

物理学;数学

Duan, Wenyong^1 ; Li, Yan^2 ; Fu, Xiaorong^1 ; Du, Baozhu^3

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

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;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/814/1/012022/pdf
DOI  :  10.1088/1742-6596/814/1/012022

来源: IOP

【 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.