Prescribed performance synchronization for fractional-order chaotic systems

doi:10.1088/1674-1056/24/9/090505

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 90505-090505.doi: 10.1088/1674-1056/24/9/090505

Prescribed performance synchronization for fractional-order chaotic systems

刘恒^{a b}, 李生刚^a, 孙业国^b, 王宏兴^b

a College of Mathematics and Information Science, Shaanxi Normal Universtiy, Xi'an 710119, China;
b Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China

收稿日期:2015-02-10 修回日期:2015-03-09 出版日期:2015-09-05 发布日期:2015-09-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11401243 and 61403157), the Fundamental Research Funds for the Central Universities of China (Grant No. GK201504002), and the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (Grant No. KJ2015A256).

Prescribed performance synchronization for fractional-order chaotic systems

Liu Heng (刘恒)^{a b}, Li Sheng-Gang (李生刚)^a, Sun Ye-Guo (孙业国)^b, Wang Hong-Xing (王宏兴)^b

a College of Mathematics and Information Science, Shaanxi Normal Universtiy, Xi'an 710119, China;
b Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China

Received:2015-02-10 Revised:2015-03-09 Online:2015-09-05 Published:2015-09-05
Contact: Li Sheng-Gang E-mail:shengganglinew@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11401243 and 61403157), the Fundamental Research Funds for the Central Universities of China (Grant No. GK201504002), and the Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (Grant No. KJ2015A256).

摘要/Abstract

摘要： In this paper the synchronization for two different fractional-order chaotic systems, capable of guaranteeing synchronization error with prescribed performance, is investigated by means of the fractional-order control method. By prescribed performance synchronization we mean that the synchronization error converges to zero asymptotically, with convergence rate being no less than a certain prescribed function. A fractional-order synchronization controller and an adaptive fractional-order synchronization controller, which can guarantee the prescribed performance of the synchronization error, are proposed for fractional-order chaotic systems with and without disturbances, respectively. Finally, our simulation studies verify and clarify the proposed method.

关键词: fractional-order chaotic system, prescribed performance control, chaos synchronization

Abstract: In this paper the synchronization for two different fractional-order chaotic systems, capable of guaranteeing synchronization error with prescribed performance, is investigated by means of the fractional-order control method. By prescribed performance synchronization we mean that the synchronization error converges to zero asymptotically, with convergence rate being no less than a certain prescribed function. A fractional-order synchronization controller and an adaptive fractional-order synchronization controller, which can guarantee the prescribed performance of the synchronization error, are proposed for fractional-order chaotic systems with and without disturbances, respectively. Finally, our simulation studies verify and clarify the proposed method.

Key words: fractional-order chaotic system, prescribed performance control, chaos synchronization

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

05.45.Gg

刘恒, 李生刚, 孙业国, 王宏兴. Prescribed performance synchronization for fractional-order chaotic systems[J]. 中国物理B, 2015, 24(9): 90505-090505.

Liu Heng (刘恒), Li Sheng-Gang (李生刚), Sun Ye-Guo (孙业国), Wang Hong-Xing (王宏兴). Prescribed performance synchronization for fractional-order chaotic systems[J]. Chin. Phys. B, 2015, 24(9): 90505-090505.

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Prescribed performance synchronization for fractional-order chaotic systems

Prescribed performance synchronization for fractional-order chaotic systems

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