Inducing periodic oscillations and chaos in continuous systems via time-delay controllers

被引:0
|
作者
Alvarez, Joaquin [1 ]
机构
[1] Scientific Research and Advanced, Studies Cent of Ensenada, San Diego, United States
关键词
Chaos theory - Circuit oscillations - Closed loop control systems - Delay circuits - Dynamics - Feedback control - Linear systems - Perturbation techniques;
D O I
暂无
中图分类号
学科分类号
摘要
A technique to produce periodic and chaotic oscillations in simple continuous-time systems that without control do not necessarily exhibit an oscillatory behavior, is proposed. First a fast dynamics is produced using a feedback linearization controller such that the closed-loop system can be given a singular perturbation structure. Then a second control term containing a nonlinear map of a delayed state is added. This map produces periodic oscillations and chaos in the sense of Li and Yorke.
引用
收藏
页码:217 / 220
相关论文
共 50 条
  • [1] Inducing periodic oscillations and chaos in continuous systems via time-delay controllers
    Alvarez, J
    CONTROL OF OSCILLATIONS AND CHAOS, VOLS 1-3, PROCEEDINGS, 2000, : 217 - 220
  • [2] Anticontrol of chaos in continuous-time systems via time-delay feedback
    Wang, XF
    Chen, GR
    Yu, XH
    CHAOS, 2000, 10 (04) : 771 - 779
  • [3] Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback
    Salcedo, Abimael
    Alvarez, Joaquin
    COMPLEXITY, 2018,
  • [4] Delayed controllers for time-delay systems
    Villafuerte-Segura, Raul
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 117
  • [5] Analytical solutions for periodic motions to chaos in nonlinear systems with/without time-delay
    Luo A.C.J.
    International Journal of Dynamics and Control, 2013, 1 (4) : 330 - 359
  • [6] DESIGN OF ROBUST CONTROLLERS FOR TIME-DELAY SYSTEMS
    MAHMOUD, MS
    ALMUTHAIRI, NF
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 995 - 999
  • [7] Stabilization of Time-Delay Systems by PID Controllers
    Mahmoud, Magdi S.
    2009 6TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES, VOLS 1 AND 2, 2009, : 205 - 210
  • [8] PID CONTROLLERS FOR DOMINANT TIME-DELAY SYSTEMS
    TSANG, KM
    RAD, AB
    LO, WL
    CONTROL AND COMPUTERS, 1994, 22 (03): : 65 - 69
  • [9] Chaotification of continuous-time systems via time-delay feedback
    Wang, XF
    Chen, GR
    Yu, XH
    CONTROL OF OSCILLATIONS AND CHAOS, VOLS 1-3, PROCEEDINGS, 2000, : 213 - 216
  • [10] STABILITY OF PERIODIC OSCILLATIONS IN A NETWORK OF NEURONS WITH TIME-DELAY
    DESTEXHE, A
    PHYSICS LETTERS A, 1994, 187 (04) : 309 - 316