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
下载
收藏
页码:770 / 773
页数:4
相关论文
共 50 条
  • [21] Adaptive control and synchronization of a fractional-order chaotic system
    CHUNLAI LI
    YAONAN TONG
    Pramana, 2013, 80 : 583 - 592
  • [22] Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems
    Ruihong Li
    Weisheng Chen
    Nonlinear Dynamics, 2014, 76 : 785 - 795
  • [23] Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system
    Yuhong Tang
    Min Xiao
    Guoping Jiang
    Jinxing Lin
    Jinde Cao
    Wei Xing Zheng
    Nonlinear Dynamics, 2017, 90 : 2185 - 2198
  • [24] Fractional-Order Adaptive Backstepping Control of a Noncommensurate Fractional-Order Ferroresonance System
    Wang, Yan
    Liu, Ling
    Liu, Chongxin
    Zhu, Ziwei
    Sun, Zhenquan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [25] Fractional-order Iterative Learning Control and Identification for Fractional-order Hammerstein System
    Li, Yan
    Zhai, Lun
    Chen, YangQuan
    Ahn, Hyo-Sung
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 840 - 845
  • [26] Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system
    Tang, Yuhong
    Xiao, Min
    Jiang, Guoping
    Lin, Jinxing
    Cao, Jinde
    Zheng, Wei Xing
    NONLINEAR DYNAMICS, 2017, 90 (03) : 2185 - 2198
  • [27] Projective synchronization via feedback controller of fractional-order chaotic systems
    Khan, Ayub
    Bhat, Muzaffar Ahmad
    INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION, 2020, 40 (05): : 366 - 374
  • [28] Dual Synchronization of Fractional-Order Chaotic Systems via a Linear Controller
    Xiao, Jian
    Ma, Zhen-zhen
    Yang, Ye-hong
    SCIENTIFIC WORLD JOURNAL, 2013,
  • [29] CHAOTIC BEHAVIOR IN A FRACTIONAL-ORDER SYSTEM CONTAINING A CONTINUOUS ORDER-DISTRIBUTION
    Hartley, Tom T.
    Lorenzo, Carl F.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (10):
  • [30] SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
    Odibat, Zaid M.
    Corson, Nathalie
    Aziz-Alaoui, M. A.
    Bertelle, Cyrille
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (01): : 81 - 97