The control of a class of uncertain fractional-order chaotic systems via reduced-order method

被引：6
|
作者：
Zeng, Yanhui [1 ]
Luo, Runzi [1 ]
Su, Haipeng [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
OPTIK | 2016年 / 127卷 / 24期
基金：
中国国家自然科学基金;
关键词：
Fractional-order chaotic system; Chaos control; Reduced-order method; PROJECTIVE SYNCHRONIZATION; ROSSLER SYSTEM; DIFFERENTIAL-EQUATIONS; LYAPUNOV FUNCTIONS; OBSERVER;
D O I：
10.1016/j.ijleo.2016.09.092
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper we mainly discuss the control of a class of 3,4-dimensional fractional-order chaotic systems with unknown parameter, model uncertainties and external disturbances. Based on the fractional-order extension of Lyapunov stability theorem some novel criteria for the control of a class of 3,4-dimensional fractional-order chaotic systems are proposed via reduced-order method. Moreover, by using our results the control and synchronization of the fractional-order Rossler system is also investigated. Numerical simulations are shown to further verify the feasibility of the presented control schemes. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码：11948 / 11959
页数：12
相关论文
共 50 条
  • [21] Suppressing chaos for a class of fractional-order chaotic systems by adaptive integer-order and fractional-order feedback control
    Li, Ruihong
    Li, Wei
    [J]. OPTIK, 2015, 126 (21): : 2965 - 2973
  • [22] Control and Synchronization Of A Class Of Uncertain Fractional Order Chaotic Systems Via Adaptive Backstepping Control
    Shukla, Manoj Kumar
    Sharma, B. B.
    [J]. ASIAN JOURNAL OF CONTROL, 2018, 20 (02) : 707 - 720
  • [23] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
    Fayazi, Ali
    [J]. EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
  • [24] SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
    Odibat, Zaid M.
    Corson, Nathalie
    Aziz-Alaoui, M. A.
    Bertelle, Cyrille
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (01): : 81 - 97
  • [25] Synchronization of a Class of Fractional-order Chaotic Systems via Adaptive Sliding Mode Control
    Jiang, Weibo
    Ma, Tiedong
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON VEHICULAR ELECTRONICS AND SAFETY (ICVES), 2013, : 229 - 233
  • [26] Synchronization of fractional-order chaotic systems with uncertain parameters
    Zhang, Hong
    Pu, Qiumei
    [J]. ACHIEVEMENTS IN ENGINEERING MATERIALS, ENERGY, MANAGEMENT AND CONTROL BASED ON INFORMATION TECHNOLOGY, PTS 1 AND 2, 2011, 171-172 : 723 - 727
  • [27] Adaptive Synchronization Of Uncertain Fractional-Order Chaotic Triangular Systems Via Fuzzy Backstepping Control
    Boubellouta, A.
    Boulkroune, A.
    [J]. 2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT 2019), 2019, : 2004 - 2009
  • [28] Robust Control of a Class of Uncertain Fractional-Order Chaotic Systems with Input Nonlinearity via an Adaptive Sliding Mode Technique
    Tian, Xiaomin
    Fei, Shumin
    [J]. ENTROPY, 2014, 16 (02): : 729 - 746
  • [29] On Class of Fractional-Order Chaotic or Hyperchaotic Systems in the Context of the Caputo Fractional-Order Derivative
    Sene, Ndolane
    Ndiaye, Ameth
    [J]. JOURNAL OF MATHEMATICS, 2020, 2020
  • [30] REDUCED-ORDER OUTPUT-FEEDBACK CONTROL OF A CLASS OF UNCERTAIN SYSTEMS
    BENEDE, JR
    LEITMANN, G
    RYAN, EP
    [J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 170 : 29 - 34
12345