Tracking unstable periodic orbits in chaotic systems via time delayed feedback control

被引：0
|
作者：
Yu, XH [1 ]
Chen, GR [1 ]
机构：
[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia
来源：
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | 1998年
关键词：
chaos control; Rossler system; stabilization; time-delayed feedback; tracking;
D O I：
暂无
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 time-delayed feedback control (TDFC) system is by nature a rather special version of the familiar autoregressive moving-average (ARMA) control, or the canonical state-space control systems. Despite some of its inherent limitations, TDFC can be quite successful in many chaos control applications. To understand to what extent the TDFC method is useful, some analytic (sufficient) conditions for chaos control from the TDFC approach are derived in this paper, for both stabilization and tracking problems. A gradient descent based search algorithm is incorporated with the TDFC to estimate the time delay constant for tracking unstable periodic orbits. The established theoretical results and estimation method are further clarified via a case study of the typical chaotic Rossler system with computer simulations.
引用
收藏
页码：1942 / 1945
页数：4
相关论文
共 50 条
  • [1] Stabilizing the unstable periodic orbits via improved delayed feedback control for discrete chaotic systems
    Qi, Rongbin
    Qian, Feng
    Du, Wenli
    Yan, Xuefeng
    Luo, Na
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 868 - +
  • [2] Tracking unstable steady states and periodic orbits of oscillatory and chaotic electrochemical systems using delayed feedback control
    Kiss, Istvan Z.
    Kazsu, Zoltan
    Gaspar, Vilmos
    [J]. CHAOS, 2006, 16 (03)
  • [3] Tracking inherent periodic orbits in chaotic systems via adaptive time delayed self-control
    Yu, XH
    [J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 401 - 405
  • [4] Stabilization of unstable periodic orbits for discrete time chaotic systems by using periodic feedback
    Morgül, Ö
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (02): : 311 - 323
  • [5] Time-delayed impulsive stabilization of unstable periodic orbits in chaotic hybrid systems
    Tian, YP
    Yu, XH
    [J]. CHAOS CONTROL: THEORY AND APPLICATIONS, 2003, 292 : 51 - 69
  • [6] Stabilizing unstable periodic orbits of dynamical systems using delayed feedback control with periodic gain
    Leonov G.A.
    Moskvin A.V.
    [J]. International Journal of Dynamics and Control, 2018, 6 (2) : 601 - 608
  • [7] On optimal stabilization of periodic orbits via time delayed feedback control
    Basso, M
    Genesio, R
    Giovanardi, L
    Tesi, A
    Torrini, G
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (08): : 1699 - 1706
  • [8] Tracking inherent periodic orbits in chaotic dynamic systems via adaptive variable structure time-delayed self control
    Yu, XH
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (11) : 1408 - 1411
  • [9] STABILIZING UNSTABLE PERIODIC TRAJECTORIES OF CHAOTIC SYSTEMS WITH TIME-VARYING SWITCHING DELAYED FEEDBACK CONTROL
    Zeng, Jianjian
    Zheng, Yuanguang
    [J]. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2022, 54 (12): : 3477 - 3485
  • [10] STABILIZING THE UNSTABLE PERIODIC ORBITS OF A CHAOTIC SYSTEM USING ADAPTIVE TIME-DELAYED STATE FEEDBACK
    Fourati, Aida
    Feki, Moez
    [J]. 2009 6TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES, VOLS 1 AND 2, 2009, : 101 - 106
12345