Robust Arbitrary Reference Command Tracking with Application to Hydraulic Actuators

M. G. Skarpetis, F. N. Koumboulis, A. S. Ntellis

2012

Abstract

In this paper a robust tracking controller is proposed in order to track arbitrary reference signals in the presence of same type disturbance signals. The robust tracking controller is based on the well known Internal Model Principle appropriately modified with a Hurwitz invariability technique. The controller parameters are computed using a finite step algorithm. Solvability conditions are derived. The proposed controller is successfully applied to a hydraulic actuator uncertain model including uncertain parameters arising from changes of the operating conditions and other physical reasons. Simulation results for all the expected range of the actuator model uncertainties are presented indicating the satisfactory performance of the robust controller in the presence of external disturbances.

References

  1. Chen, C. T., Linear System Theory and Design. Holt, Rinehart and Winston, New York, 1984.
  2. Corless, M. J., Leitmann, G., and Ryan, E. P., “Tracking in the presence of bounded uncertainties,” presented at the 4th Int. Conf. Control Theory, Cambridge, U.K., Sept, 1984.
  3. Dorf, R. C., and Bishop, R. H., Modern Control Systems, 9th ed., prentice Hall, 2001.
  4. Garcia, D., Karimi, A., Longchamp, R., “Robust PID controller tuning with specification on modulus margin”, Proceedings of the 2004 American Control Conference, vol. 4, pp. 3297 - 3302.
  5. Ge, M., Chiu, M.-S., Wang, Q.-G., “Robust PID controller design via LMI approach”, Journal of Process Control, vol.12, pp. 3-13, 2002.
  6. Goodwin, G. C., Graebe, S. F., Salgado M.E., Control System Design, Prentice Hall, 2001
  7. Ho, F M.-T., Huang, S.-T. , “Robust PID controller design for plants with structured and unstructured uncertainty”, Proceedings of the 42nd IEEE Conference on Decision and Control, 2003, vol. 1, pp. 780 - 785.
  8. Horowitz, I. M., Synthesis Feedback Systems. New York Academic, 1963.
  9. Huang, Y. J., Wang, Y.-J. , “Robust PID tuning strategy for uncertain plants based on the Kharitonov theorem”, ISA Transactions, vol. 39, pp. 419-431, 2000.
  10. Karpenko, M., Shapehri, N., “Fault - Tolerant control of a servohydraulic positioning system with crossport leakage”, IEEE Trans. on Contr. Syst. Technology, Vol. 13, pp 155-161, 2005.
  11. Kliffken, M. G., Heinrich, G. M., “A unified control strategy for flight actuators”, Recent Advanced in Aerospace Hydraulics, November 24-25, Toulouse, France, 2001.
  12. Kliffken, M. G., “Robust Sampled-Data Control of Hydraulic Flight Control Actuators”, Proceedings of the 5th Scandinavian International Conference on Fluid Power, Linkoping, 1997.
  13. Koumboulis, F. N., Industrial Control (in Greek), New Technology Editions, 1999.
  14. Koumboulis, F. N., “On the heuristic design of common PI controllers for multi-model plants”, 10th IEEE International Conference on Emerging Technologies and Factory Automation, Catania, Italy, 2005, pp. 975-982.
  15. Koumboulis, F. N., and Skarpetis, M. G., “Input -Output decoupling for linear systems with non-linear uncertain structure”, J. of the Franklin Institute, vol. 333(B), pp. 593-624, 1996.
  16. Koumboulis, F. N., and Skarpetis, M. G., “Robust Triangular Decoupling with Application to 4WS Cars”, IEEE Transactions on Automatic Control, vol. 45, pp. 344-352, 2000.
  17. Koumboulis, F. N., Skarpetis, M. G., Mertzios, B. G., “Robust Regional Stabilization of an Electropneumatic Actuator”, IEEE Proceedings, Part D, Control Theory and Applications, vol. 145, pp. 226-230, 1998.
  18. Koumboulis, F. N., and Tzamtzi, M. P., A Metaheuristic Approach for Controller Design of Multivariable Processes, 12th IEEE Inter. Conf. on Emerging Technologies and Factory Automation, Sept 25-28, Patras, Greece, pp. 1429-1432, 2007.
  19. Koumboulis, F. N., Skarpetis, M. G., Tzamtzi, M. P., “Robust PI Controllers for Command Following with Application to an Electropneumatic Actuator”, Proceedings of the 14th Mediterranean Conference on Control Automation, Ancona, Italy, 2006.
  20. Koumboulis, F. N., Skarpetis, M. G., Tzamtzi, M. P., “Robust PID Controller Design with Application to a Flight Actuator”, Proceedings of the 32nd Annual Conference of the IEEE Industrial Electronics Society (IECON'06), pp. 4725-4730.
  21. Musch, H. E., Steiner, M., “Robust PID control for an industrial distillation column”, IEEE Control Systems Magazine, vol. 15, pp. 46 - 55, 1995.
  22. Skarpetis, M. G., F. N. Koumboulis and Ntellis, ?., “Robust Asymptotic Output Tracking for Four-WheelSteering Vehicles”, IEEE International Conference on Mechatronics, (ICM 2006), July 3-5, 2006, Budapest, Hungary, pp. 488-492.
  23. Skarpetis, M. G., Koumboulis, F. N., Ntellis, ?., “Robust Tracking and Disturbance Attenuation Controllers for Automatic Steering”, 14th IEEE Mediterranean Conference on Control and Automation (MED'06), June 28-30, 2006, Ancona, Italy.
  24. Skarpetis, M. G., Koumboulis, Tzamtzi, M. P., “Robust Control Techniques for Hydraulic Actuators ”, in Proc. 15th MED Conf. on Control and Automation, Athens, Greece 2007.
  25. Takaba, K., “Robust preview tracking control for polytopic uncertain systems”, in Proc. 37th IEEE Conf. Decision Contr., Tampa, FL, 1998, pp. 1765-1770
  26. Toscano, R., “A simple robust PI/PID controller design via numerical optimization”, J. Process Control, vol. 15, pp. 81-88, 2005.
  27. Yaesh , I. and Shaked, U., “Two degrees of freedom H8 optimization of multivariale feedback systems”, IEEE Transactions on Automatic Control, vol. 36, pp. 1272- 1276, 1991.
  28. Wei, K, and Barmish, R., “Making a polynomial Hurwitz invariant by choice of feedback gain”, Int. J. Contr., Vol 50, pp 1025-1038,1989.
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Paper Citation


in Harvard Style

G. Skarpetis M., N. Koumboulis F. and S. Ntellis A. (2012). Robust Arbitrary Reference Command Tracking with Application to Hydraulic Actuators . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 94-102. DOI: 10.5220/0004048600940102


in Bibtex Style

@conference{icinco12,
author={M. G. Skarpetis and F. N. Koumboulis and A. S. Ntellis},
title={Robust Arbitrary Reference Command Tracking with Application to Hydraulic Actuators},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={94-102},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004048600940102},
isbn={978-989-8565-21-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Robust Arbitrary Reference Command Tracking with Application to Hydraulic Actuators
SN - 978-989-8565-21-1
AU - G. Skarpetis M.
AU - N. Koumboulis F.
AU - S. Ntellis A.
PY - 2012
SP - 94
EP - 102
DO - 10.5220/0004048600940102