Adaptive stabilization and synchronization for chaotic Lur'e systems with time-varying delay

被引:147
作者
Lu, Jianquan [1 ,2 ]
Cao, Jinde [1 ,3 ]
Ho, Daniel W. C. [2 ]
机构
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
[3] SE Univ, Sch Automat, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
adaptive control; chaos control; chaotic systems; Lur'e systems; synchronization; time-varying delay;
D O I
10.1109/TCSI.2008.916462
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we propose an adaptive scheme for the stabilization and synchronization of chaotic Lur'e systems with time-varying delay. Based on the invariant principle of functional differential equations, the strength of the feedback controller is enhanced adaptively to stabilize and synchronize chaotic Lur'e systems. The derivative-constraint that the time-varying delay is required to be differentiable and its derivation is less than one can be removed by using LaSalle-Razumikhin-type theorems. The time-varying delay is allowed to be bounded without any additional constraint or unbounded with derivative-constraint. This method is analytical, rigorous and simple to implement in practice. In addition, it is quite robust,against the effect of parameters uncertainty and noise. Two examples are provided to show the effectiveness of the proposed scheme. The results of the paper demonstrate the fruitfulness of the modern feedback and adaptive control theory application to the stabilization and synchronization problems for delayed chaotic systems.
引用
收藏
页码:1347 / 1356
页数:10
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