Stabilizing periodic orbits of chaotic systems using fuzzy control of Poincare map

被引:21
作者
Bonakdar, Mohammad [1 ]
Samadi, Mostafa [1 ]
Salarieh, Hassan [1 ]
Alasty, Aria [1 ]
机构
[1] Sharif Univ Technol, Dept Mech Engn, CEDRA, Tehran 1458889694, Iran
关键词
D O I
10.1016/j.chaos.2006.06.081
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper a fuzzy control algorithm is used to stabilize the fixed points of a chaotic system. No knowledge of the dynamic equations of the system is needed in this approach and the whole system is considered as a black box. Two main approaches have been investigated: fuzzy clustering and table look up methods. As illustrative examples these methods have been applied to Bonhoeffer van der Pol oscillator and the Henon chaotic system and the convergence toward fixed points is observed. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:682 / 693
页数:12
相关论文
共 23 条
  • [11] Sliding mode control for a class of chaotic systems
    Konishi, K
    Hirai, M
    Kokame, H
    [J]. PHYSICS LETTERS A, 1998, 245 (06) : 511 - 517
  • [12] Controlling chaos via state feedback cancellation under a noisy environment
    Liaw, YM
    Tung, PC
    [J]. PHYSICS LETTERS A, 1996, 211 (06) : 350 - 356
  • [13] CONTROLLING CHAOS TO GENERATE APERIODIC ORBITS
    MEHTA, NJ
    HENDERSON, RM
    [J]. PHYSICAL REVIEW A, 1991, 44 (08): : 4861 - 4865
  • [14] CONTROLLING CHAOS
    OTT, E
    GREBOGI, C
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1990, 64 (11) : 1196 - 1199
  • [15] OTT E, 2002, CHAOS DYNAMICAL SYST, P61
  • [16] Design of an adaptive fuzzy model based controller for chaotic dynamics in Lorenz systems with uncertainty
    Park, CW
    Lee, CH
    Park, M
    [J]. INFORMATION SCIENCES, 2002, 147 (1-4) : 245 - 266
  • [17] CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK
    PYRAGAS, K
    [J]. PHYSICS LETTERS A, 1992, 170 (06) : 421 - 428
  • [18] USING CHAOS TO DIRECT TRAJECTORIES TO TARGETS
    SHINBROT, T
    OTT, E
    GREBOGI, C
    YORKE, JA
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (26) : 3215 - 3218
  • [19] STEPHEN W, 1990, INTRO NONLINEAR DYNA
  • [20] A robust controller for chaotic systems under external excitation
    Tsai, HH
    Fuh, CC
    Chang, CN
    [J]. CHAOS SOLITONS & FRACTALS, 2002, 14 (04) : 627 - 632