Control fractional-order continuous chaotic system via a simple fractional-order controller

被引:0
|
作者
Zhang, Dong [1 ]
Yang, Shou-liang [1 ]
机构
[1] Chongqing Univ Arts & Sci, Dept Elect & Elect Engn, Chongqing 402160, Peoples R China
关键词
Fractional-order controller; Continuous fractional-order chaos systems; Asymptotically stable; SYNCHRONIZATION;
D O I
10.4028/www.scientific.net/AMM.336-338.770
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A universal fractional-order controller is proposed to asymptotically stable the unstable equilibrium points and the nonequilibrium points of continuous fractional-order chaos systems. The simple fractional-order controller is obtained based on the stability theorem of nonlinear fractional-order systems. The control scheme is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed fractional-order controller.
引用
收藏
页码:770 / 773
页数:4
相关论文
共 50 条
  • [41] The analysis and application on a fractional-order chaotic system
    Zhou, Lihua
    Qian, Ye
    Liu, Lingliang
    Telkomnika (Telecommunication Computing Electronics and Control), 2014, 12 (01) : 23 - 32
  • [42] Fractional-order chaotic system with hyperbolic function
    Gugapriya, G.
    Duraisamy, Prakash
    Karthikeyan, Anitha
    Lakshmi, B.
    ADVANCES IN MECHANICAL ENGINEERING, 2019, 11 (08)
  • [43] Synchronization in a unified fractional-order chaotic system
    Wu Zheng-Mao
    Xie Jian-Ying
    CHINESE PHYSICS, 2007, 16 (07): : 1901 - 1907
  • [44] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [45] Synchronization Of Liu Chaotic System With Fractional-Order
    Huang, Suhai
    INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 467 - 470
  • [46] Adaptive synchronization of fractional-order chaotic system via sliding mode control
    Cao, He-Fei
    Zhang Ruo-Xun
    ACTA PHYSICA SINICA, 2011, 60 (05)
  • [47] Sliding Mode Control of the Fractional-Order Unified Chaotic System
    Yuan, Jian
    Shi, Bao
    Zeng, Xiaoyun
    Ji, Wenqiang
    Pan, Tetie
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [48] Dynamical Behaviour, Control, and Boundedness of a Fractional-Order Chaotic System
    Ren, Lei
    Muhsen, Sami
    Shateyi, Stanford
    Saberi-Nik, Hassan
    FRACTAL AND FRACTIONAL, 2023, 7 (07)
  • [49] A New Fractional-order Chaotic System and its Synchronization Control
    Shan, Liang
    Liu, Zhong
    Li, Jun
    Wang, Zhiquan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 5918 - 5922
  • [50] Prescribed performance control of the fractional-order chaotic economical system
    Li, Ling
    Sun, Yeguo
    2018 5TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE 2018), 2018, : 900 - 904