Observer-based control of a class of chaotic systems

被引:55
|
作者
Solak, E [1 ]
Morgül, O [1 ]
Ersoy, U [1 ]
机构
[1] Bilkent Univ, Dept Elect & Elect Engn, TR-06533 Ankara, Turkey
关键词
chaotic systems; chaos synchronization; state observers; feedback systems; stabilization; tracking;
D O I
10.1016/S0375-9601(00)00808-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the control of a class of chaotic systems, which covers the forced chaotic oscillators. We focus on two control problems. The first one is to change the dynamics of the system to a new one which exhibits a desired behavior, and the second one is the tracking problem, i.e., to force the solutions of the chaotic system to track a given trajectory. To solve these problems we use observers which could be used to estimate the unknown states of the system to be controlled. We apply the proposed method to the control of Duffing equation and the Van der Pol oscillator and present some simulation results. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:47 / 55
页数:9
相关论文
共 50 条
  • [1] Adaptive observer-based control for a class of chaotic systems
    Hua, CC
    Guan, XP
    Li, XL
    Shi, P
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 22 (01) : 103 - 110
  • [2] Observer-Based Adaptive Control for a class of Nonlinear Chaotic Systems
    Liu, Yan-Jun
    Li, Dong-Juan
    Chen, C. L. Philip
    [J]. 2011 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2011, : 2011 - 2014
  • [3] Observer-based synchronization for a class of chaotic systems
    [J]. Liu, H. (liuheng122@gmail.com), 2013, CESER Publications, Post Box No. 113, Roorkee, 247667, India (42):
  • [4] Observer-based Synchronization for a Class of Chaotic Systems
    Liu, Heng
    Gan, Ning
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 42 (12): : 167 - 173
  • [5] Observer-based adaptive feedback controller of a class of chaotic systems
    Boulkroune, Abdesselem
    Chekireb, Hachemi
    Tadjine, Mohamed
    Bouatmane, Sabrina
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (11): : 3411 - 3419
  • [6] Disturbance Observer-Based Nonsingular Finite Time Control Scheme for a Class of Chaotic Systems
    Mobayen, Saleh
    Jafari, Maryam
    Fekih, Afef
    Bayat, Farhad
    [J]. 2020 6TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND ROBOTICS (ICCAR), 2020, : 226 - 229
  • [7] Stability of observer-based chaotic communications for a class of Lur'e systems
    Alvarez-Ramirez, J
    Puebla, H
    Cervantes, I
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (07): : 1605 - 1618
  • [8] A Novel Adaptive Observer-Based Control Scheme for Synchronization and Suppression of a Class of Uncertain Chaotic Systems
    Wang Jing
    Tan Zhen-Yu
    Ma Xi-Kui
    Gao Jin-Feng
    [J]. CHINESE PHYSICS LETTERS, 2009, 26 (05)
  • [9] Observer-based synchronization scheme for a class of chaotic systems using contraction theory
    Sharma, B. B.
    Kar, I. N.
    [J]. NONLINEAR DYNAMICS, 2011, 63 (03) : 429 - 445
  • [10] Robust H∞ Observer-Based Synchronization for a Class of Incommensurate Fractional Chaotic Systems
    Wang Baojin
    Zhao Linhui
    Liu Zhiyuan
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 10532 - 10537