Memristive multi-scroll chaotic system and its synchronization
under sliding mode control

Abstract

Abstract: A memristive chaotic system is proposed by adding terms with properties of memristor and other nonlinear terms to Yang system. The chaotic attractors with single scroll, double scrolls and triple scrolls can be obtained by changing the parameters and initial values of state variables of the system. The dynamic characteristics of the system are analyzed, and the generalized synchronization between the memristive chaotic system and Chen system with disturbance is investigated by taking a triple-scroll system as an example. The synchronization controller and parameter adaptive law are designed by employing sliding mode control method, and the sufficient conditions for synchronization are obtained by using Lyapunov stability theory. Finally, the proposed synchronization method is compared with the method without sliding mode control. Results show that the two systems are synchronized and the parameters are accurately estimated. The proposed method is faster in synchronization speed than the method without sliding mode control, and has better anti-interference ability as well.

Key words: chaos, generalized synchronization, sliding mode control, multi-scroll chaotic system, memristor

CLC Number:

O415.5

LI Xiaoxia , ∗, FENG Zhixin , ZHANG Qiyu , WANG Xue , . Memristive multi-scroll chaotic system and its synchronization under sliding mode control[J]. Chinese Journal of Quantum Electronics, 2020, 37(6): 727-736.

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Memristive multi-scroll chaotic system and its synchronization under sliding mode control

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