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MASTER-SLAVE SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS WITH TIME-VARYING DELAY AND PARAMETER UNCERTAINTY

HE HUANG

Department of Computer Science and Engineering, Southeast University, Nanjing 210096, P. R. China

Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China

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HAN-XIONG LI

Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China

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, and

JUE ZHONG

School of Mechanical and Electrical Engineering, Central South University, Changsha, P. R. China

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https://doi.org/10.1142/S0218127406014800Cited by:34 (Source: Crossref)

Abstract

This paper deals with the problem of master-slave synchronization for uncertain Lur'e systems via time-varying delay feedback control. The parametric uncertainty is assumed to be norm bounded. Several new and sufficient conditions are presented such that the uncertain Lur'e master and slave systems are synchronous for all admissible uncertainties. These synchronization criteria are dependent on the size of time delay, which can be expressed by means of matrix inequalities. The adopted method is based on defining a new Lyapunov–Krasovskii function and using some inequalities techniques. Our results obtained here extend and improve some previously related results. Finally, two numerical examples are provided to demonstrate the applications of our proposed results.

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