Sprott-D不确定分数阶混沌系统的自适应滑模同步

Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (5): 1235-1240.

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Adaptive Sliding Mode Synchronization of Sprott-D Uncertain Fractional-Order Chaotic Systems

MAO Beixing¹, LI Dekui², WANG Dongxiao¹, WANG Jianjun¹

1. School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China；2. School of Public Health, Gansu University of Chinese Medicine, Lanzhou 730000, China

Received:2022-03-25 Online:2024-09-26 Published:2024-09-26

Abstract

Abstract: Based on the sliding mode method of nonlinear chaotic systems, the sliding mode control and synchronization of Sprott-D uncertain fractional-order systems were studied according to the fractional-order stability theory and synchronous control method, and the results were verified by using MATLAB simulation program. The results show that the Sprott-D uncertain fractional-order chaotic systems corresponding to the master-slave systems can achieve adaptive sliding mode synchronization under certain assumptions.

Key words: fractional-order, Sprott-D system, sliding mode, synchronization

CLC Number:

O482.4

MAO Beixing, LI Dekui, WANG Dongxiao, WANG Jianjun. Adaptive Sliding Mode Synchronization of Sprott-D Uncertain Fractional-Order Chaotic Systems[J].Journal of Jilin University Science Edition, 2024, 62(5): 1235-1240.

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Adaptive Sliding Mode Synchronization of Sprott-D Uncertain Fractional-Order Chaotic Systems

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