CFP last date
20 January 2025
Reseach Article

Multivariable Q-parametrization for Rejection of Harmonic Disturbances

by Dehri Khadija, Ltaief Majda, Nouri Ahmed Said
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 41 - Number 14
Year of Publication: 2012
Authors: Dehri Khadija, Ltaief Majda, Nouri Ahmed Said
10.5120/5607-7868

Dehri Khadija, Ltaief Majda, Nouri Ahmed Said . Multivariable Q-parametrization for Rejection of Harmonic Disturbances. International Journal of Computer Applications. 41, 14 ( March 2012), 10-17. DOI=10.5120/5607-7868

@article{ 10.5120/5607-7868,
author = { Dehri Khadija, Ltaief Majda, Nouri Ahmed Said },
title = { Multivariable Q-parametrization for Rejection of Harmonic Disturbances },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 41 },
number = { 14 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 10-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume41/number14/5607-7868/ },
doi = { 10.5120/5607-7868 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:29:34.790920+05:30
%A Dehri Khadija
%A Ltaief Majda
%A Nouri Ahmed Said
%T Multivariable Q-parametrization for Rejection of Harmonic Disturbances
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 14
%P 10-17
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The design of accurate control becomes more difficult due to the complexity of industrial processes. In this paper, we are interested on the tracking of reference trajectories and the rejection of harmonic disturbances for discrete multi-input multi-output systems. A new control strategy based on the combination of partial state reference model control, internal model principle and Youla-Kucera parametrization for discrete multivariable systems isproposed. A numerical example shows that the proposed strategy gives a good performance in terms of rejecting harmonic disturbances and reference trajectories tracking.

References
  1. Francis, B. , and Wonham, W. 1976. The internal model principle of control theory. Automatica, vol. 12, no. 5, pp. 457-465.
  2. Bodson, M. , and Douglas, S. C. , 1997. Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency, Automatica, vol. 33, no. 12, pp. 2213-2221.
  3. Bodson, M. , 2004. Rejet des perturbations priodiques frquence variable et inconnue, Confrence Internationale Francophone d'Automatique, Douz, Tunisia.
  4. Wu, B. , and Bodson, M. , 2003. Direct adaptive cancellation of periodic disturbances for multivariable plants, IEEE Transactions on Speech and Audio Processing, vol. 11, no. 6, pp. 538-548.
  5. Wu, B. , and Bodson, M. , 2004. Multi-channel active noise control for periodic sources-indirect approach, Automatica, vol. 40, no. 2, pp. 203-212.
  6. Arimoto, S. , Kawamura, S. , and Miyazaki, F. , 1984. Bettering operation of dynamic systems by learning: A new control theory for servomechanism or mechatronics systems, Proceedings of 23rd Conference on Decision and Control, pp. 1064-1069.
  7. Hara, S. , Yamamoto, Y. , Omata, T. , and Nakano, M. , 1988. Repetitive control system: A new type servo system for periodic exogenous signals, IEEE Transactions on Automatic Control, vol. 33, no. 7, pp. 659-668.
  8. Dehri, K. , Ltaief, M. , Nouri, A. S. and Ben Abdennour, R. , 2011. Rejection of periodic disturbances with unknown frequency for multivariable systems, International Journal on Sciences and Techniques of Automatic control and computer engineering, vol. 5, no. 1, pp. 1458-1471.
  9. Dehri, K. , Ltaief, M. , Nouri, A. S. , 2011. New discrete multivariable sliding mode control for multi-periodic disturbances rejection, 8th International Multi- Conference on Systems, Signals and Devices, Tunisia.
  10. Chen, Y. Q. , Moore, K. L. , Yu, J. and Zhang, T. , 2006. Iterative learning control and repetitive control in hard disk drive industry - a tutorial, IEEE Trans. on Systems, Man and Cybernetics, Part-C.
  11. Ryoo, J. R. , and Doh, T. - Y. , 2008. Feedback based iterative learning control for mimo LTI systems, International Journal of Control Automation and Systems, vol. 6, no. 2, pp. 269-277.
  12. Ahn, H. - S. , Chen, Y. Q. , and Moore, K. L. , 2007. Iterative learning control: brief survey and categorization, IEEE Transactions on Systems, vol. 37, no. 6, pp. 1099-1121.
  13. Alma, M. , Landau, I. D. , Molina, J. J. M. -, Buche, G. , 2010, Suppression adaptative de vibrations en utilisant un actionneur inertiel, Sixime Confrence Internationale Francophone d'Automatique.
  14. Landau, I. D. , Alma, M. , Martinez, J. J. , and Buche, G. , 2010, Direct adaptive suppression of multiple unknown vibrations using an inertial actuator, IEEE Conference on Decision and Control.
  15. Landau, I. D. , Constantinescu, A. , and Alma, M. , 2009. Adaptive regulation - Rejection of unknown multiple narrow band disturbances, 17th Mediterranean Conference on Control and Automation.
  16. Landau, I. D. , and Patrascu, D. , 2005. Adaptive narrow disturbance rejection applied to an active suspension-an internal model principle approach, Automatica, vol. 41, pp. 563-574.
  17. M'Saad, M. , and Sanchez, G. , 1992. Partial state reference model adaptive control of multivariable systems, Automatica, vol. 28, no. 6, pp. 1189-1197.
  18. Ben Abdennour, R. , Borne, P. , Ksouri, M. , and M'sahli, F. , 2001. Identification et commande des procédés industriels, Technip, Paris, France.
  19. Zhanga, W. , Allgower, F. , and Liu, T. , 2006. Controller parameterization for SISO and MIMO plants with time delay, Systems and Control Letters, vol. 55, pp. 794-801.
  20. Horowitz, R. , and Mccarmick, J. , 1992. A self-tuning control scheme for disk file servos, IEEE Transactions on Magnetics, vol. 27, no. 6, pp. 4490-4495.
  21. Milonidis, E. , and Karcanias, N. , 2002. Multivariable finite settling time stabilisation: parametrization and properties, IFAC.
  22. Ven den Hof, P. M. J. , and de Callafon, R. A. , 1996. Multivariable closed loop identification: from indirect to dual-Youla parametrization, Identification Modelling and Control, vol. 9.
  23. Sedraoui, M. , 2008. Apport des principales méthodes d'optimisation dans la commande prédictive généralisée multivariable sous contraintes, Thesis.
Index Terms

Computer Science
Information Sciences

Keywords

Multivariable Control Systems Rejection Of Harmonic Disturbances Partial State Reference Model Control Internal Model Principle Youla-kucera Parametrization