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
  • [31] Mixed Sensitivity Reduction for Time-Delay Systems by Stable Controllers
    Wakaiki, Masashi
    Yamamoto, Yutaka
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1065 - 1070
  • [32] Feasibility Criteria of Sliding Mode Controllers for Time-Delay Systems
    Mu, Xiaoxia
    Zheng, Guojie
    Li, Juntao
    Li, Wenlin
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 3207 - 3211
  • [33] Learning Adaptive Optimal Controllers for Linear Time-Delay Systems
    Cui, Leilei
    Pang, Bo
    Jiang, Zhong-Ping
    2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 4575 - 4580
  • [34] Stabilizing controllers design for feedforward nonlinear time-delay systems
    Zhang, Xianfu
    Boukas, E. K.
    Baron, L.
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 2100 - 2105
  • [35] Robust design of stabilizing controllers for interconnected time-delay systems
    Mahmoud, MS
    Bingulac, S
    AUTOMATICA, 1998, 34 (06) : 795 - 800
  • [36] Delay-dependent approach to stabilization of time-delay chaotic systems via standard and delayed feedback controllers
    Xu, SY
    Lam, J
    Zou, Y
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (04): : 1455 - 1465
  • [37] OPTIMAL PERIODIC CONTROL OF VARIABLE TIME-DELAY SYSTEMS
    SINCIC, D
    BAILEY, JE
    INTERNATIONAL JOURNAL OF CONTROL, 1978, 27 (04) : 547 - 555
  • [38] Complete Rejection of Periodic Disturbances in Time-Delay Systems
    Liu Bo
    Chen Xin
    She Jinhua
    Wu Min
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3736 - 3739
  • [39] Stability of periodic solutions of nonlinear time-delay systems
    Pham Huu Anh Ngoc
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (03) : 905 - 918
  • [40] STATE FEEDBACK STABILIZATION FOR A CLASS OF NONLINEAR TIME-DELAY SYSTEMS VIA DYNAMIC LINEAR CONTROLLERS
    CHAI Lin
    QIAN Chunjiang
    Journal of Systems Science & Complexity, 2014, 27 (03) : 453 - 462