Master–slave synchronization of chaotic Lur’e systems under delayed impulsive control
This paper is concerned with the problem of designing output feedback impulsive controllers for master–slave synchronization of Lur’e systems in the presence of impulse input delays. A discontinuous Lyapunov function is introduced to analyze the exponential stability of synchronization error dynamics. A sufficient condition for master-slave impulsive synchronization of chaotic Lur’e systems is derived in terms of linear matrix inequalities (LMIs). The derived stability condition depends both on the lower bound and the upper bound of impulsive intervals, which is robust with respect to small impulse input delays. The impulsive controller gains can be achieved by solving a set of LMIs. Finally, Chua’s circuit is used to illustrate the effectiveness of the proposed design method.
Impulsive synchronization Lur’e system Delayed impulses Discontinuous Lyapunov function
CHEN Wu-Hua WEI Dan WANG Zipeng LU Xiaomei
College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1345-1350
2012-07-01(万方平台首次上网日期,不代表论文的发表时间)