Swing up Control of the Pendubot with Restricted Actuator Movement Angle Using Energy-Based Methods

Article Preview

Abstract:

In this paper, we propose a swing-up control law for the Pendubot, a type of two-joint, two-link, underactuated robot in which the shoulder joint is actuated and the elbow joint is unactuated, considering the restricted angular movement of the shoulder joint. The proposed control law is designed by the energy-based method. Using the phase plane trajectories obtained from the angular and angular velocity oscillatory motion of the forearm, a target trajectory of the shoulder joint is calculated such that the mechanical energy of the forearm motion increases. We design a tracking control law for the shoulder joint with respect to a target trajectory. The maximum amplitude of the target trajectory directly restricts the angular motion of the actuator. The effectiveness of the proposed method is verified by numerical simulation and actual experiments.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

69-76

Citation:

Online since:

February 2024

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2024 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Y. Liu and H. Yu, A survey of underactuated mechanical systems, IET Control Theory and Applications, Vol. 7, Issue 7, pp.921-935, 2013.

DOI: 10.1049/iet-cta.2012.0505

Google Scholar

[2] H. Kwakernaak, R. Sivan, Linear Optimal Control Systems, Wiley-Interscience, pp.4-6, 1972.

Google Scholar

[3] F. Saito, T. Fukuda and F. Arai, Swing and locomotion control for two-link brachiation robot, IEEE International Conference on Robotics and Automation, Atlanta, GA, USA, 1994.

DOI: 10.1109/robot.1993.291874

Google Scholar

[4] T. McGeer, Passive dynamic walking, The International Journal of Robotics Research, Vol. 9, No. 2, pp.62-82, 1990.

Google Scholar

[5] J. Hauser and R. M. Murray, Nonlinear controllers for non-integrable systems: the Acrobot example, American Control Conference, San Diego, CA, USA, pp.669-671, 1990.

DOI: 10.23919/acc.1990.4790817

Google Scholar

[6] M. W. Spong and D. J. Block, The pendubot: A mechatronic system for control research and education, Proceedings of 34th IEEE Conference on Decision and Control, New Orleans, LA, USA, 1995.

DOI: 10.1109/cdc.1995.478951

Google Scholar

[7] K. Yoshida and I. Matsumoto, Stabilizing control for an inverted pendulum with restricted travel, Proceedings of American Control Conference, pp- 543-548, 2009.

DOI: 10.1109/acc.2009.5159919

Google Scholar

[8] I. Matsumoto and K. Yoshida, Swing-up and Stabilizing Control of the Acrobot, Transactions of the Institute of Systems, Control and Information Engineers, Vol. 17, No. 1, pp.17-25, 2004 (in Japanese).

DOI: 10.5687/iscie.17.17

Google Scholar

[9] D. Kinoshita, K. Yoshida and I. Matsumoto, Stabilizing control for an inverted pendulum with restricted travel, Transactions of the Society of Instrument and Control Engineers, Vol. 53, No. 7, pp.408-415, 2017 (in Japanese).

DOI: 10.9746/sicetr.53.408

Google Scholar