Time-optimal swing-up feedback control of a pendulum

被引:0
|
作者
F. L. Chernousko
S. A. Reshmin
机构
[1] Institute for Problems in Mechanics of the Russian Academy of Sciences,
来源
Nonlinear Dynamics | 2007年 / 47卷
关键词
Pendulum; Swing-up control; Time-optimal control; Feedback control; Maximum principle;
D O I
暂无
中图分类号
学科分类号
摘要
Time-optimal feedback control is obtained that brings a pendulum to the upper unstable equilibrium position. The solution is based on the maximum principle and involves analytical investigations combined with numerical computations. As a result, the switching and dispersal curves that bound the domains in the phase plane corresponding to different values of the optimal bang-bang control are constructed for various values of the maximal admissible control torque.
引用
收藏
页码:65 / 73
页数:8
相关论文
共 50 条
  • [21] Dynamic switching control for the swing-up and stabilizing control of the furuta pendulum*
    Ding, Haishan
    Li, Yinpeng
    Mao, Jianqin
    Wei, Kehui
    Yang, Li
    ICIEA 2006: 1ST IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-3, PROCEEDINGS, 2006, : 1130 - 1134
  • [22] Swing-up control of double-inverted pendulum systems
    Al Juboori, Ameen M.
    Hussein, Mustafa Turki
    Qanber, Ali Sadiq Gafer
    MECHANICAL SCIENCES, 2024, 15 (01) : 47 - 54
  • [23] Swing-up control of a triple pendulum on a cart with experimental validation
    Glueck, Tobias
    Eder, Andreas
    Kugi, Andreas
    AUTOMATICA, 2013, 49 (03) : 801 - 808
  • [24] Switching control of Furuta pendulum system with aggressive swing-up
    Gao, Bing-Tuan
    Zhang, Xiao-Hua
    Chen, Hong-Jun
    Kongzhi yu Juece/Control and Decision, 2008, 23 (11): : 1277 - 1280
  • [25] Swing-up control of inverted pendulum using vibrational input
    Michitsuji, Y
    Furuta, K
    Yamakita, M
    PROCEEDINGS OF THE 2000 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, 2000, : 226 - 231
  • [26] Swing-up Motion Control of a Pendulum using Genetic Algorithm
    Denki Gakkai Ronbunshi. D, Sangyo Oyo Bumonshi, 115 (06):
  • [27] Dynamic switching control for the swing-up and stabilizing control of the furuta pendulum
    Ding, Haishan
    Li, Yinpeng
    Mao, Jianqin
    Wei, Kehui
    Yang, Li
    2006 1ST IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-3, 2006, : 355 - +
  • [28] Swing-up Control by BVP Arithmetic for the Rotational Inverted Pendulum
    Yu, Zhandong
    Wang, Xianfeng
    MECHATRONICS AND INTELLIGENT MATERIALS, PTS 1 AND 2, 2011, 211-212 : 515 - 519
  • [29] Swing-up and stabilization of an inverted pendulum without feedback control Application of a bifuraction control to a pendulum with two degrees of rotational freedom
    Yabuno, H
    Goto, K
    Aoshima, N
    SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, 2002, : 1575 - 1576
  • [30] Minimum-time swing-up of a rotary inverted pendulum by iterative impulsive control
    Wang, ZM
    Chen, YQ
    Fang, N
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1335 - 1340