Finite-time sliding mode synchronization of chaotic systems

doi:10.1088/1674-1056/23/10/100504

›› 2014, Vol. 23 ›› Issue (10): 100504-100504.doi: 10.1088/1674-1056/23/10/100504

Finite-time sliding mode synchronization of chaotic systems

倪骏康, 刘崇新, 刘凯, 刘凌

a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2014-02-23 修回日期:2014-04-06 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51177117 and 51307130) and the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005).

Finite-time sliding mode synchronization of chaotic systems

Ni Jun-Kang (倪骏康), Liu Chong-Xin (刘崇新), Liu Kai (刘凯), Liu Ling (刘凌)

a State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
b School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2014-02-23 Revised:2014-04-06 Online:2014-10-15 Published:2014-10-15
Contact: Ni Jun-Kang,Liu Ling E-mail:max12391@126.com;liul@mail.xjtu.edu.cn
About author:05.45.Gg; 05.45.Xt; 05.45.Pq
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51177117 and 51307130) and the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005).

摘要/Abstract

摘要： A new finite-time sliding mode control approach is presented for synchronizing two different topological structure chaotic systems. With the help of the Lyapunov method, the convergence property of the proposed control strategy is discussed in a rigorous manner. Furthermore, it is mathematically proved that our control strategy has a faster convergence speed than the conventional finite-time sliding mode control scheme. In addition, the proposed control strategy can ensure the finite-time synchronization between the master and the slave chaotic systems under internal uncertainties and external disturbances. Simulation results are provided to show the speediness and robustness of the proposed scheme. It is worth noticing that the proposed control scheme is applicable for secure communications.

关键词: finite-time control, sliding mode control, chaos synchronization, secure communication

Abstract: A new finite-time sliding mode control approach is presented for synchronizing two different topological structure chaotic systems. With the help of the Lyapunov method, the convergence property of the proposed control strategy is discussed in a rigorous manner. Furthermore, it is mathematically proved that our control strategy has a faster convergence speed than the conventional finite-time sliding mode control scheme. In addition, the proposed control strategy can ensure the finite-time synchronization between the master and the slave chaotic systems under internal uncertainties and external disturbances. Simulation results are provided to show the speediness and robustness of the proposed scheme. It is worth noticing that the proposed control scheme is applicable for secure communications.

Key words: finite-time control, sliding mode control, chaos synchronization, secure communication

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)

倪骏康, 刘崇新, 刘凯, 刘凌. Finite-time sliding mode synchronization of chaotic systems[J]. , 2014, 23(10): 100504-100504.

Ni Jun-Kang (倪骏康), Liu Chong-Xin (刘崇新), Liu Kai (刘凯), Liu Ling (刘凌). Finite-time sliding mode synchronization of chaotic systems[J]. Chin. Phys. B, 2014, 23(10): 100504-100504.

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Finite-time sliding mode synchronization of chaotic systems

Finite-time sliding mode synchronization of chaotic systems

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