Impulsive Synchronization of Chaotic Lur'e Systems by Linear Static Measurement Feedback: An LMI Approach

Jun Guo Lu

Research output: Contribution to journalArticlepeer-review

91 Citations (Scopus)

Abstract

In this brief, we consider impulsive control for master-slave synchronization schemes that consist of identical chaotic Lur’e systems. Impulsive control laws are investigated which make use of linear static measurement feedback, instead of full state feedback. A less conservative sufficient condition than existing results for global asymptotic impulsive synchronization is presented, in which synchronization is proven for the error between the full state vectors. And then an linear matrix inequality (LMI)-based approach for designing linear static output feedback impulsive control laws to globally asymptotically synchronize Lur’e chaotic systems is derived. With the help of the LMI solvers, we can easily obtain the linear output feedback impulsive controller and the bound of the impulsive interval for global asymptotic synchronization. The method is illustrated on Chua's circuit.

Original languageEnglish
Pages (from-to)710-714
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume54
Issue number8
DOIs
Publication statusPublished - Aug 2007
Externally publishedYes

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