Synchronization of chaotic feedback control using Lur＇e systems with delayed deadzone nonlinearity

In this paper we present a synchronization method for chaotic Lur＇e systems by constructing a new piecewise Lyapunov function. Using a delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur＇e systems wi...

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Bibliographic Details
Published in:Chinese physics B 2011, Vol.20 (1), p.209-214
Main Author: S.M. Lee O.M. Kwon Ju H. Park
Format: Article
Language:English
Subjects:
Lyapunov函数
同步方法
延迟反馈控制
控制系统
死区非线性
混沌同步
稳定性准则
线性矩阵不等式
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Summary:In this paper we present a synchronization method for chaotic Lur＇e systems by constructing a new piecewise Lyapunov function. Using a delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur＇e systems with deadzone nonlinearity. Based on the Lyapunov-Krasovskii functional and by using some properties of the nonlinearity, a new delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality （LMI） formulation. The criterion is less conservative than existing ones, and it will be verified through a numerical example.
ISSN:1674-1056
2058-3834