Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

doi:10.1088/1674-1056/22/4/040507

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40507-040507.doi: 10.1088/1674-1056/22/4/040507

Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

王东风, 张金营, 王晓燕

Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation (North China Electric Power University), Baoding 071003, China

收稿日期:2012-08-23 修回日期:2012-10-17 出版日期:2013-03-01 发布日期:2013-03-01
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 11MG49).

Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

Wang Dong-Feng (王东风), Zhang Jin-Ying (张金营), Wang Xiao-Yan (王晓燕)

Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation (North China Electric Power University), Baoding 071003, China

Received:2012-08-23 Revised:2012-10-17 Online:2013-03-01 Published:2013-03-01
Contact: Zhang Jin-Ying E-mail:k.ying zhang@163.com
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 11MG49).

摘要/Abstract

摘要： This paper provides a novel method to synchronize the uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on the Lyapunov stability theory, a new fractional-order switching manifold is proposed and in order to ensure the occurrence of the sliding motion in finite time, the corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronizing the fractional-order Lorenz chaotic system and fractional-order Chen's chaotic system with parameters uncertainty and external disturbance. Simulation results show the applicability and the efficiency of the proposed scheme.

关键词: fractional-order chaotic system, synchronization, terminal sliding mode control, uncertainty, disturbance

Abstract: This paper provides a novel method to synchronize the uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on the Lyapunov stability theory, a new fractional-order switching manifold is proposed and in order to ensure the occurrence of the sliding motion in finite time, the corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronizing the fractional-order Lorenz chaotic system and fractional-order Chen's chaotic system with parameters uncertainty and external disturbance. Simulation results show the applicability and the efficiency of the proposed scheme.

Key words: fractional-order chaotic system, synchronization, terminal sliding mode control, uncertainty, disturbance

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)

王东风, 张金营, 王晓燕. Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller[J]. Chin. Phys. B, 2013, 22(4): 40507-040507.

Wang Dong-Feng (王东风), Zhang Jin-Ying (张金营), Wang Xiao-Yan (王晓燕). Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller[J]. Chin. Phys. B, 2013, 22(4): 40507-040507.

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Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

Synchronization of uncertain fractional-order chaotic systems with disturbance based on fractional terminal sliding mode controller

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