ON-LINE SUPERVISED ADJUSTMENT OF THE CORRECTING GAINS OF FRACTIONAL ORDER HOLDS

A. Bilbao-Guillerna, M. De la Sen, S. Alonso-Quesada

2005

Abstract

A discrete control using different possible discretization models of a continuous plant is presented. The different models of the scheme are obtained from a set of different discretizations of a continuous transfer function under a fractional-order-hold of correcting gain β ϵ [-1,1] (β-FROH). The objective is to design a supervisory scheme which is able to find the most appropriate value for the gain β in an intelligent design framework. A tracking performance index evaluates each possible discretization and the scheme chooses the one with the lowest value. Two different methods of adjusting this value are presented and discussed. The first one selects it among a fixed set of possible values, while in the second one the value of β can be updated by adding or subtracting a small quantity. Simulations are presented to show the usefulness of the scheme.

References

  1. Alonso-Quesada, S. and De la Sen, M., 2004. 'Robust Adaptive Control with Multiple Estimation Models for Stabilization of a Class of Non-inversely Stable Timevarying plants', Asian Journal of Control, Vol. 6, Nº 1, pp. 59-73.
  2. Åström, K.J. and Wittenmark, B., 1984. 'Zeros of Sampled Systems', Automatica, 20, 31-38.
  3. Bárcena, R., De la Sen, M. and Sagastabeitia, I., 2000 'Improving the Stability of the Zeros of Sampled Systems with Fractional Order Hold', IEE Proc. Control Theory and Applications, 147, Vol. 4, pp.456- 464.
  4. Broeser, P.M.T., 1995. 'A Comparison of Transfer Functions Estimators', IEEE Transactions on Instrumentation and Measurement, Vol. 44, Nº 3, pp.657-661.
  5. Floyd, T., 2003. 'Electronic Circuits Fundamentals', Prentice Hall.
  6. Ibeas, A., De la Sen, M. and Alonso-Quesada, S., 2002. 'A Multiestimation Scheme for Discrete Adaptive Control which Guarantees Closed-loop Stability', Proc. of the 6th WSEAS Multiconference on Systems, pp.6301- 6308.
  7. Ishitobi, M., 1996. 'Stability of Zeros of Sampled Systems with Fractional Order Hold', IEE Proc., Control Theory and Applications, 143, pp. 296-300.
  8. Krishnan, R., 2001. 'Electronic Motor Drives: Modelling, Analysis and Control. Book 178, Prentice Hall.
  9. Middleton, R.H., Goodwin, G.C. Hill, D.J and Mayne, D.Q., 1988. 'Design Issues in Adaptive Control', IEEE Transactions on Automatic Control, Vol. 33, Nº 1, pp.50-58.
  10. Narendra, K. S. and Balakrishnan, J., 1994. 'Improving Transient Response of Adaptive Control Systems using Multiple Models and Switching', IEEE Transactions on Automatic Control, Vol. 39, No. 9, pp. 1861-1866.
  11. Narendra, K. S. and Balakrishnan, J., 1997 'Adaptive Control Using Multiple Models”, IEEE Transactions on Automatic Control, Vol. 42, No. 2, pp. 171-187.
Download


Paper Citation


in Harvard Style

Bilbao-Guillerna A., De la Sen M. and Alonso-Quesada S. (2005). ON-LINE SUPERVISED ADJUSTMENT OF THE CORRECTING GAINS OF FRACTIONAL ORDER HOLDS . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 972-8865-30-9, pages 266-271. DOI: 10.5220/0001178302660271


in Bibtex Style

@conference{icinco05,
author={A. Bilbao-Guillerna and M. De la Sen and S. Alonso-Quesada},
title={ON-LINE SUPERVISED ADJUSTMENT OF THE CORRECTING GAINS OF FRACTIONAL ORDER HOLDS},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2005},
pages={266-271},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001178302660271},
isbn={972-8865-30-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - ON-LINE SUPERVISED ADJUSTMENT OF THE CORRECTING GAINS OF FRACTIONAL ORDER HOLDS
SN - 972-8865-30-9
AU - Bilbao-Guillerna A.
AU - De la Sen M.
AU - Alonso-Quesada S.
PY - 2005
SP - 266
EP - 271
DO - 10.5220/0001178302660271