Chaos Synchronization in the Modified Chua’s Circuit With
نویسندگان
چکیده
This paper studies chaos synchronization in the modified Chua's circuit with x x using linear state feedback control scheme. A new sufficient condition is derived for chaos synchronization between the two modified Chua's circuits with x x based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. A simulation example is given for demonstration. 1. Introduction Today, chaos synchronization has become popular [4]. Chaos synchronization can be considered as an observer design problem, in the sense that the response system is the observer of the drive system [1, 6]. On the other hand, chaos synchronization can also be viewed from a dynamical control perspective [2, 3]. This is clear because chaos synchronization can be regarded as a model-tracking problem, in which the response system can track the drive system asymptotically, particularly if state feedback is used as a means of control. In the present authors' paper [2], we studied chaos synchronization in the classic Chua's circuit by using linear state feedback control scheme. Based on the Lyapunov stability theory and the Linear Quadratic optimal control theory, a new, simple and yet easily verified sufficient condition is established for global chaos synchronization, which is applicable to a large class of general chaotic systems. In this paper, we studied chaos synchronization in the modified Chua's circuit
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