Application of Sliding Mode Control to the Ball and Plate Problem

David Debono, Marvin Bugeja

2015

Abstract

This paper proposes and investigates the application of sliding mode control to the ball and plate problem. The nonlinear properties of the ball and plate control system are first presented. Then the experimental setup designed and built specifically for the purpose of this research is discussed. The paper then focuses on the implementation and thorough evaluation of the experimental results obtained with two different control schemes: the linear full-state feedback controller and the sliding mode controller. The latter control strategy was selected for its robust and order reduction properties. Finally the control performance of the two controllers is analysed. The sliding controller manages to obtain a faster and more accurate operation for continuously changing reference inputs. The robustness of the proposed control scheme is also verified, since the system’s performance is shown to be insensitive to parameter variations.

References

  1. Awtar, S., Bernard, C., Boklund, N., Master, A., Ueda, D., and Craig, K. (2002). Mechatronic design of a ballon-plate balancing system. Mechatronics, 12(2):217- 228.
  2. Ho, M.-T., Rizal, Y., and Chu, L.-M. (2013). Visual servoing tracking control of a ball and plate system: Design, implementation and experimental validation. International Journal of Advanced Robotic Systems, 10.
  3. Hongrui, W., Yantao, T., Siyan, F., and Zhen, S. (2008). Nonlinear control for output regulation of ball and plate system. In Control Conference, 2008. CCC 2008. 27th Chinese, pages 382-387. IEEE.
  4. Jadlovska, A., Jajcisi, S., and Lonscak, R. (2009). Modelling and pid control design of nonlinear educational model ball and plate. In Proceedings of the 17th International Conference on Process Control 2009, pages 475-483. Slovak University of Technology in Bratislava.
  5. Ker, C. C., Lin, C. E., and Wang, R. T. (2007). Tracking and balance control of ball and plate system. Journal of the Chinese Institute of Engineers, 30(3):459-470.
  6. Khalil, H. K. (2002). Nonlinear systems, volume 3. Prentice Hall Upper Saddle River.
  7. Liu, D., Tian, Y., and Duan, H. (2009). Ball and plate control system based on sliding mode control with uncertain items observe compensation. In Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on, volume 2, pages 216- 221. IEEE.
  8. Liu, H. and Liang, Y. (2010). Trajectory tracking sliding mode control of ball and plate system. In Informatics in Control, Automation and Robotics (CAR), 2010 2nd International Asia Conference on, volume 3, pages 142-145. IEEE.
  9. Moarref, M., Saadat, M., and Vossoughi, G. (2008). Mechatronic design and position control of a novel ball and plate system. In Control and Automation, 2008 16th Mediterranean Conference on, pages 1071- 1076. IEEE.
  10. Slotine, J.-J. E. and Li (1991). Applied nonlinear control, volume 199. Prentice hall New Jersey.
  11. Wang, H., Tian, Y., Sui, Z., Zhang, X., and Ding, C. (2007). Tracking control of ball and plate system with a double feedback loop structure. In Mechatronics and Automation, 2007. ICMA 2007. International Conference on, pages 1114-1119. IEEE.
  12. Wang, Y., Li, X., Li, Y., and Zhao, B. (2012). Identification of ball and plate system using multiple neural network models. In System Science and Engineering (ICSSE), 2012 International Conference on, pages 229-233. IEEE.
  13. Yuan and De-hu (2009). Pneumatic servo ball and plate system based on touch screen and oscillating cylinder. In Intelligent Systems and Applications, 2009. ISA 2009. International Workshop on, pages 1-4. IEEE.
  14. Yuan, D. and Zhang, Z. (2010). Modelling and control scheme of the ball-plate trajectory-tracking pneumatic system with a touch screen and a rotary cylinder. IET Control Theory & Applications, 4(4):573-589.
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Paper Citation


in Harvard Style

Debono D. and Bugeja M. (2015). Application of Sliding Mode Control to the Ball and Plate Problem . In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-122-9, pages 412-419. DOI: 10.5220/0005569804120419


in Bibtex Style

@conference{icinco15,
author={David Debono and Marvin Bugeja},
title={Application of Sliding Mode Control to the Ball and Plate Problem},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2015},
pages={412-419},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005569804120419},
isbn={978-989-758-122-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Application of Sliding Mode Control to the Ball and Plate Problem
SN - 978-989-758-122-9
AU - Debono D.
AU - Bugeja M.
PY - 2015
SP - 412
EP - 419
DO - 10.5220/0005569804120419