Design of sliding mode controller for a class of fractional-order chaotic systems

被引：172
|
作者：
Yin, Chun [1 ,2 ]
Zhong, Shou-ming [1 ,2 ]
Chen, Wu-fan [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 611731, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractional-order derivative; General fractional-order chaotic system; Sliding mode control; Chaos; PERIODIC-ORBITS; SYNCHRONIZATION; STABILIZATION;
D O I：
10.1016/j.cnsns.2011.04.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：356 / 366
页数：11
相关论文
共 50 条
  • [1] Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems
    Pan Guang
    Wei Jing
    [J]. ACTA PHYSICA SINICA, 2015, 64 (04)
  • [2] Synchronization of fractional-order chaotic systems based on the fractional-order sliding mode controller
    Yan Xiaomei
    Shang Ting
    Zhao Xiaoguo
    [J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 429 - 434
  • [3] Synchronization of uncertain fractional-order chaotic systems via the fractional-order sliding mode controller
    Yan, Xiaomei
    Shang, Ting
    Zhao, Xiaoguo
    Ji, Ruirui
    [J]. PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 1444 - 1449
  • [4] Design of a sliding mode controller for synchronization of fractional-order chaotic systems with different structures
    Wei J.
    Pan G.
    [J]. Pan, Guang (panguang601@163.com), 1600, Shanghai Jiaotong University (50): : 849 - 853and860
  • [5] Design of Nonlinear Conformable Fractional-Order Sliding Mode Controller for a Class of Nonlinear Systems
    Sara Haghighatnia
    Heydar Toossian Shandiz
    [J]. Journal of Control, Automation and Electrical Systems, 2019, 30 : 622 - 631
  • [6] Design of Nonlinear Conformable Fractional-Order Sliding Mode Controller for a Class of Nonlinear Systems
    Haghighatnia, Sara
    Shandiz, Heydar Toossian
    [J]. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2019, 30 (05) : 622 - 631
  • [7] Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
    Wang, Chenhui
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [8] Control of a class of fractional-order chaotic systems via sliding mode
    Di-yi Chen
    Yu-xiao Liu
    Xiao-yi Ma
    Run-fan Zhang
    [J]. Nonlinear Dynamics, 2012, 67 : 893 - 901
  • [9] Control of a class of fractional-order chaotic systems via sliding mode
    Chen, Di-yi
    Liu, Yu-xiao
    Ma, Xiao-yi
    Zhang, Run-fan
    [J]. NONLINEAR DYNAMICS, 2012, 67 (01) : 893 - 901
  • [10] Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
    Aghababa, Mohammad Pourmahmood
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) : 2670 - 2681
12345