Abstract

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.

Details

Title
Improved synchronization criteria for time-delayed chaotic Lur'e systems using sampled-data control
Author
Duan, Wenyong 1 ; Li, Yan 2 ; Fu, Xiaorong 1 ; Du, Baozhu 3 

 School of Electrical Engineering, YanCheng Institute of Technology, YanCheng JiangSu, China 
 Dean’s Office, Yancheng Biological Engineering Higher Vocational Technology School, YanCheng JiangSu, China 
 School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China 
Publication year
2017
Publication date
Feb 2017
Publisher
IOP Publishing
ISSN
17426588
e-ISSN
17426596
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2573868602
Copyright
© 2017. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.