Feedback Optimal Control for Inverted Pendulum Problem by Using the Generating Function Technique

被引:0
|
作者
Dwidar, Hany R. [1 ]
机构
[1] Cairo Univ, Fac Sci, Astron Meteorol & Space Sci Dept, Giza 12613, Egypt
关键词
Inverted pendulum; Feedback control; Stability analysis;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, a model is described for a system consisting of an inverted pendulum attached to a cart. We design for this model a feedback optimal control based on Linear Quadratic regulator, LQR by using the generating Function technique. This design with hard and soft constraints will help the pendulum to stabilize in the upright position. A solution of the continuous low-thrust optimal control problem based on LQR method is implemented. An example applied to this control design for a hard constraint boundary condition.
引用
收藏
页码:23 / 28
页数:6
相关论文
共 50 条
  • [1] Tracking control of an inverted pendulum - Using computed feedback linearization technique
    Chanchareon, Ratchatin
    Sangveraphunsiri, Viboon
    Chantranuwathana, Supavut
    2006 IEEE CONFERENCE ON ROBOTICS, AUTOMATION AND MECHATRONICS, VOLS 1 AND 2, 2006, : 434 - +
  • [2] Lyapunov Optimal Feedback Control of a Nonlinear Inverted Pendulum
    Anderson, M. J.
    Grantham, W. J.
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1989, 111 (04): : 554 - 558
  • [3] Optimal feedback control design using genetic algorithm applied to inverted pendulum
    Pourshaghaghi, Hamid Reza
    Jaheh-Motlagh, Mohammad Reza
    Jalali, Ali-Akbar
    2007 IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS, PROCEEDINGS, VOLS 1-8, 2007, : 263 - 268
  • [4] Optimal control of a double inverted pendulum by linearization technique
    Khatoon, Shahida
    Chaturvedi, Devendra Kumar
    Basal, Naimul
    Istiyaque, Md
    PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON MULTIMEDIA, SIGNAL PROCESSING AND COMMUNICATION TECHNOLOGIES (IMPACT), 2017, : 123 - 127
  • [5] Time-optimal control of an inverted pendulum in the feedback form
    Reshmin, S. A.
    Chernous'ko, F. L.
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2006, 45 (03) : 383 - 394
  • [6] Time-optimal control of an inverted pendulum in the feedback form
    S. A. Reshmin
    F. L. Chernous’ko
    Journal of Computer and Systems Sciences International, 2006, 45 : 383 - 394
  • [7] A Technique for Measuring Visuomotor Feedback Contributions to the Control of an Inverted Pendulum
    Franklin, David W.
    Cesonis, Justinas
    Franklin, Sae
    Leib, Raz
    2019 41ST ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC), 2019, : 1513 - 1516
  • [8] Stabilizing of an inverted pendulum using computed feedback linearization technique
    Chanchareon, R
    Chantranuwathana, S
    Sangveraphunsiri, V
    Kananai, J
    Proceedings of the Eighth IASTED International Conference on Intelligent Systems and Control, 2005, : 37 - 42
  • [9] Optimal Control Selection for Stabilizing the Inverted Pendulum Problem Using Neural Network Method
    Tarkhov, D. A.
    Lavygin, D. A.
    Skripkin, O. A.
    Zakirova, M. D.
    Lazovskaya, T. V.
    OPTICAL MEMORY AND NEURAL NETWORKS, 2023, 32 (Suppl 2) : S214 - S225
  • [10] Optimal Control Selection for Stabilizing the Inverted Pendulum Problem Using Neural Network Method
    D. A. Tarkhov
    D. A. Lavygin
    O. A. Skripkin
    M. D. Zakirova
    T. V. Lazovskaya
    Optical Memory and Neural Networks, 2023, 32 : S214 - S225