Robust Predictive Control using a GOBF Model for MISO Systems

Authors

  • Ali Douik Ecole Nationale d’Ingénieurs de Monastir (ENIM) Département de Génie Electrique Laboratoire ATSI Rue Ibn El Jazzar, 5019 Monastir Tunisie
  • Jalel Ghabi Ecole Nationale d’Ingénieurs de Monastir (ENIM) Département de Génie Electrique Laboratoire ATSI Rue Ibn El Jazzar, 5019 Monastir Tunisie
  • Hassani Messaoud Ecole Nationale d’Ingénieurs de Monastir (ENIM) Département de Génie Electrique Laboratoire ATSI Rue Ibn El Jazzar, 5019 Monastir Tunisie

Keywords:

Predictive Control, Robust, Generalized Orthonormal Basis Functions, MISO, UBBE

Abstract

In this paper we develop a new method for robust predictive control for MISO systems represented on the Generalized Orthonormal Basis Functions. Unknown But Bounded Error approaches are used to update the uncertainty domain of the resultant model coefficients. This method uses a worst case strategy solved by a min-max optimization problem taking into account the constraints relative to parameter uncertainties and to measurement signals.

References

G. Oliveira, G. Favier, G. Dumont, and W. Amara, Predictive Controller Based on Laguerre Filters Modeling, In Proc. 13th IFAC World Congress, San Francisco, USA, vol. G, pp. 375-380, 1996.

A. Mbarek, H. Messaoud and G. Favier, Robust predictive control using Kautz model, In Proc. 10th IEEE International Conf. Electronics, Circuits and Systems, pp. 184-187, December 2003. http://dx.doi.org/10.1109/icecs.2003.1302007

L.P. Wang, Discrete time model predictive control design using Laguerre functions, Journal of Process Control, 14:131-142, 2004. http://dx.doi.org/10.1016/S0959-1524(03)00028-3

E.M. El Adel, M. Ouladsine, and L. Radouane, Predictive steering control using Laguerre series representation, In Proc. 2003 American Control Conf., vol.1, pp. 439-445, June 2003. http://dx.doi.org/10.1109/cca.2003.1223449

B. Wahlberg, System identification using Laguerre models, IEEE Trans. on Automatic Control, 36(5): 551-562, 1991. http://dx.doi.org/10.1109/9.76361

B. Wahlberg, System identification using Kautz models, IEEE Trans. on Automatic Control, 39(6):1276-1282, 1994. http://dx.doi.org/10.1109/9.293196

A. Gutierrez and E. Camacho, Robust Adaptive Control for Processes with Bounded Uncertainties, In Proc. 3rd ECC, Roma, vol.2, pp. 1295-1300, 1995.

J. Ghabi, A. Douik and H. Messaoud, A New Modelling Approach of MIMO linear Systems using the generalized Orthonormal basis functions, In Proc. of the 6th ISPRA'07, Greece, pp. 192-196, February 2007.

J. Ghabi, A. Douik and H. Messaoud, New Methods of Modelling and Parameter Estimation for MIMO linear Systems using Generalized Orthonormal Basis Functions, Journal on Systems and Control, vol. 2, pp. 133-140, 2007.

B. Ninness and F. Gustafsson, A unifying construction of orthonormal bases for system identification, IEEE Trans. on Automatic Control, 42 (4): 515-521, 1997. http://dx.doi.org/10.1109/9.566661

P. S. C. Heuberger, P. M. J. Van den Hof, and O. H. Bosgra, A generalized orthonormal basis for linear dynamical systems, IEEE Trans. on Automatic Control, 40(3):451-465, 1995. http://dx.doi.org/10.1109/9.376057

Paul Van den Hof, Brett Ninness, System Identification with Generalized Orthonormal Basis Functions, In Modelling and Identification with Rational Orthogonal Basis Functions, Springer Verlag, chap.​4, pp. 61-102, 2005. http://dx.doi.org/10.1007/1-84628-178-4_4

G. Favier and L. Arruda, Review and Comparison of Ellipsoidal Bounding Algorithms, In M. et al., editor, Bounding Approaches to system identification, Plenum Press, New York, chap.4, pp. 43-68, 1996.

H. Messaoud and G. Favier, Recursive determination of parameter uncertainty intervals for linear models with unknown but bounded errors, In Proc. 10th IFAC Symposium on System Identification, Copenhagen, Denmark, pp. 365-370, 1994.

S. Maraoui and H. Messaoud, Design and comparative study of limited complexity bounding error identification algorithms, IFAC, Symposium on System Structure and Control, Prague, Cheque Republique, pp. 29-31, 2001.

J. Ghabi, A. Douik and H. Messaoud, A New Estimation Method of the Poles for the generalized Orthonormal bases filters, In Proc. of the 6th ISPRA'07, Greece, pp. 197-202, February 2007.

J. Ghabi, A. Douik and H. Messaoud, A New Technique of Poles Estimation for Generalized Orthonormal Basis Functions, Journal on Systems and Control, vol.2, pp. 125-132, 2007.

Published

2007-12-01

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