Control Education Using Pendulum Apparatus

  • Hoshino, Tasuku (Dept. of Management and Systems Science, The Science University of Tokyo) ;
  • Yamakita, Masaki (Dept. of Mechanical and Control Systems Engineering, Tokyo Institute of Technology) ;
  • Furuta, Katsuhisa (Dept. of Computers and Systems Engineering, Tokyo Denki University)
  • Published : 2000.09.01

Abstract

The inverted pendulum is a typical example of unstable systems and has been used for verification of designed control systems. It is also very popular in control education in laboratories, serving as a good example to show the utility of the state space approach to the controller design. This paper shows two kinds of experiment using inverted pendulum: one is the stabilization of a single spherical inverted pendulum by a plane manipulator using visual feedback, and the other is the state transfer control of a double pendulum. In the former experiment, the feedback stabilization using a CCD camera has major importance as an example of controller implementation with non-contact measurement. The latter involves the standard stabilizing regulation method and nonlinear control techniques. The details of the experimental systems, the control algorithms and the experimental results will be given.

Keywords

References

  1. Int. J. Control v.23 Control of unstable mechanical system Control of pendulum S. Mori;H. Nishihara;K. Furuta
  2. Automatisierungstechnik v.36 Application of control disturbance observers for the control and compensation of dry friction N. Bakri;N. Becker;E. Ostertag
  3. Proc. JACC Application of modal control and dynamic observers to control of a double inverted pendulum W. R.Sturegeon;M. V. Loscutoff
  4. Int. J. Control v.39 Attitude control of a triple inverted of pendulum K. Furuta;T. Ochiai;N. Ono
  5. Proc. IFAC World Congr. Observer based control of a double pendulum W. Maletinsky;M. F. Senning;F. Wiederkehr
  6. State variable methods in automatic control K. Furuta;A. Sano;D. Atherton
  7. Opt. Cont. App. & Methods v.11 Discrete computer control of a triple-inverted pendulum H. Meier;Zu Farwig;H. Unbehauen
  8. Int. J. of Control v.51 no.5 Optimal control by dynamic programming using systematic reduction in grid size R. Luus
  9. Robotica v.9 Iterative generation of virtual reference for a manipulator M. Yamakita;K. Furuta
  10. J. Systems and Control Engineering v.206 Swing up control of inverted pendulum using pseudo-state feedback K. Furuta;M. Yamakita;S. Kobayashi
  11. Proc. of IFAC Congress v.9 A new strategy for swinging up an inverted pendulum M. Wiklund;A. Kristenson;K. J. Astrom
  12. Proc. of ACC'93 Swing up control of double pendulum M. Yamakita;K. Nonaka;K. Furuta
  13. Proc. of ACC'95 Robust swing up control double pendulum M. Yamakita;M. Iwashiro;Y. Sugahara;K. Furuta
  14. Robot Dynamics and Control M. W. Spong;M. Vidyasagar
  15. Proc. of ASCC'97 Stabilization of 2-D inverted pendulum via partial exact linearization T. Hoshino;K. Furuta
  16. Int. J. Control v.32 Digital control of a double inverted pendulum on an inclined rail K. Furuta;H. Kajiwara;K. Kosuge
  17. Int. J. Control v.32 Digital control of a double inverted pendulum on an inclined rail K. Furuta;H. Kajiwara;K. Kosuge