›› 2014, Vol. 23 ›› Issue (8): 80501-080501.doi: 10.1088/1674-1056/23/8/080501

• GENERAL • 上一篇    下一篇

Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

李天增a b, 王瑜a b, 罗懋康a   

  1. a College of Mathematics, Sichuan University, Chengdu 610065, China;
    b Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing, School of Science, Sichuan University of Science and Engineering, Zigong 643000, China
  • 收稿日期:2013-10-21 修回日期:2014-01-23 出版日期:2014-08-15 发布日期:2014-08-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11171238), the Science Found of Sichuan University of Science and Engineering (Grant Nos. 2012PY17 and 2014PY06), the Fund from Artificial Intelligence Key Laboratory of Sichuan Province (Grant No. 2014RYJ05), and the Opening Project of Sichuan Province University Key Laborstory of Bridge Non-destruction Detecting and Engineering Computing (Grant No. 2013QYJ01).

Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

Li Tian-Zeng (李天增)a b, Wang Yu (王瑜)a b, Luo Mao-Kang (罗懋康)a   

  1. a College of Mathematics, Sichuan University, Chengdu 610065, China;
    b Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing, School of Science, Sichuan University of Science and Engineering, Zigong 643000, China
  • Received:2013-10-21 Revised:2014-01-23 Online:2014-08-15 Published:2014-08-15
  • Contact: Luo Mao-Kang E-mail:makaluo@scu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11171238), the Science Found of Sichuan University of Science and Engineering (Grant Nos. 2012PY17 and 2014PY06), the Fund from Artificial Intelligence Key Laboratory of Sichuan Province (Grant No. 2014RYJ05), and the Opening Project of Sichuan Province University Key Laborstory of Bridge Non-destruction Detecting and Engineering Computing (Grant No. 2013QYJ01).

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摘要： We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.

关键词: fractional-order chaotic system, chaos control, fractional-order controller, hyperchaos

Abstract: We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.

Key words: fractional-order chaotic system, chaos control, fractional-order controller, hyperchaos

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.-a (Nonlinear dynamics and chaos)