CFP last date
20 January 2025
Reseach Article

Supervised Model Predictive Control for Discrete-time Nonlinear Systems with Time-varying Delay

by Samah Ben Atia, Anis Messaoud, Ridha Ben Abdennour
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 114 - Number 12
Year of Publication: 2015
Authors: Samah Ben Atia, Anis Messaoud, Ridha Ben Abdennour
10.5120/20027-1547

Samah Ben Atia, Anis Messaoud, Ridha Ben Abdennour . Supervised Model Predictive Control for Discrete-time Nonlinear Systems with Time-varying Delay. International Journal of Computer Applications. 114, 12 ( March 2015), 1-8. DOI=10.5120/20027-1547

@article{ 10.5120/20027-1547,
author = { Samah Ben Atia, Anis Messaoud, Ridha Ben Abdennour },
title = { Supervised Model Predictive Control for Discrete-time Nonlinear Systems with Time-varying Delay },
journal = { International Journal of Computer Applications },
issue_date = { March 2015 },
volume = { 114 },
number = { 12 },
month = { March },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-8 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume114/number12/20027-1547/ },
doi = { 10.5120/20027-1547 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:52:32.479999+05:30
%A Samah Ben Atia
%A Anis Messaoud
%A Ridha Ben Abdennour
%T Supervised Model Predictive Control for Discrete-time Nonlinear Systems with Time-varying Delay
%J International Journal of Computer Applications
%@ 0975-8887
%V 114
%N 12
%P 1-8
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present paper deals with a decoupled multimodel predictive control based on multi-observer for the control of discrete-time nonlinear systems with time-varying delay. For each local model, a controller based on partial predictor/observer is synthesized. A switching algorithm is established to yield the adequate partial controller ensuring the closed-loop desired performances. Simulation results are given to illustrate the significance of the proposed decoupled multimodel predictive control strategy.

References
  1. J. P. Richard. "time-delay systems: an overview of some recent advances and open problems". Automatica, 39(10):1667–1694, 2003.
  2. V. Manikonda, P. O. Arambel, M. Gopinathan, R. K. Mehra, and F. Y. Hadaegh. "a model predictive control-based approach for spacecraft formation keeping and attitude control". In American Control Conference, pages 4258–4262, 1999.
  3. M. Tillerson, G. Inalhan, and J. P. How. "co-ordination and control of distributed spacecraft systems using convex optimization techniques". International Journal of Robust and Nonlinear Control, 12(2-3):207–242, 2002.
  4. WB Dunbar and RM Murray. "model predictive control of coordinated multi-vehicle formations". In Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
  5. S. Domek. "switched state model predictive control of fractional-order nonlinear discrete-time systems". Asian journal of control, 15(3):658–668, 2013.
  6. F. Yan and P. H. Hu. "state feedback model predictive control to complex systems with multi-time delays ". Proceedings of the 5th World Congress on Intelligent Control and Automation. Hangzhou, China, pages 946–950, 2004.
  7. X. B. Hu and W. H. Chen. "model predictive control for constrained systems with uncertain state-delays". International Journal of Robust and Nonlinear Control, 14(17):1421–1432, 2004.
  8. H. N. Nounou and K. M. Passino. "fuzzy model predictive control: Techniques, stability issues, and examples". Proceedings of the IEEE International Symposium on Intelligent Control, pages 423–428, 1999.
  9. D. Matko, K. Kavsek-Biasizzo, I. Skrjanc, and G. Music. "generalized predictive control of a thermal plant using fuzzy model". In American Control Conference. Chicago, Illinois, pages 2053–2057, 2000.
  10. H. Sarimveis and G. Bafas. "fuzzy model predictive control of non-linear processes using genetic algorithms". Fuzzy Sets and Systems, 139(1):59–80, 2003.
  11. C. L. Su and S. Q. Wang. "robust model predictive control for discrete uncertain nonlinear systems with time-delay via fuzzy model". Journal of Zhejiang University SCIENCE A, 7(10):1723–1732, 2006.
  12. A. Germani, C. Manes, and P. Pepe. "a new approach to state observation of nonlinear systems with delayed output". Automatic Control, 47(1):96–101, 2002.
  13. S. Ibrir, W. F. Xie, and C. -Y. Su. "observer design for discrete-time systems subject to time-delay nonlinearities". International Journal of Systems Science, 37:629–641, July 2006.
  14. N. Kazantzis and R. Wright. "nonlinear observer design in the presence of delayed output measurements". Systems and Control Letters, 54(9):877–886, 2005.
  15. T. A. Johanson and A. B. Foss. "nonlinear local model representation for adaptive systems". volume 2, pages 677–682, 1992.
  16. K. Tanaka and M. Sano. "a robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer". IEEE Transactions on fuzzy systems, 2(2):119–134, 1994.
  17. A. M. Nagy Kiss. " Analyse et synthse de multimodles pour le diagnostic. Application une station d'puration". PhD thesis, Institut National Polytechnique de Lorraine, France, 2010.
  18. J. Abonyi, R. Babuska, and F. Szeifert. "modified gath-geva fuzzy clustering for identification of takagi-sugeno fuzzy models". IEEE Transactions on Systems, Man and Cybernetics, Part B : Cybernetics, 32(5):612–621, 2002.
  19. G. Mourot, K. Gasso, and J. Ragot. Modelling of ozone concentrations using a takagi-sugeno model. Control Engineering Practice, 7(6):707–715, 1999.
  20. Y. Batmani and H. Khaloozadeh. "on the design of observer for nonlinear time-delay systems". Asian Journal of Control, 16(5):1–11, 2013.
  21. Y. Y Cao and P. M. Frank. "analysis and synthesis of nonlinear time-delay systems via fuzzy control approach". Transactions on Fuzzy Systems, 8(2):200–211, 2000.
  22. Y. Y Cao and P. M. Frank. "stability analysis and synthesis of nonlinear time delay systems via takagi-sugeno fuzzy models". Fuzzy Sets and Systems, 124:213 – 229, 2001.
  23. H. Gassara, A. El Hajjaji, and M. Chaabane. "commande tolrante aux dfauts actionneurs base sur un observateur adaptatif pour les modles flous t-s retard variable dans le temps born. In Journes Doctorales MACS, JDMACS'2011, Marseille (France), 2011.
  24. C. Lin, Q. G. Wang, and T. H. Lee. " LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time-delay". Springer-Verlag, 2007.
  25. C. Latrach, M. Kchaou, A. El Hajjaji, and M. Chaabane. "robust stabilization conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach". In 19th Mediterranean Conference on Control and Automation, pages 20–23, 2011.
  26. R. Orjuela. "Contribution l'estimation d'tat et au diagnostic des systmes reprsents par des multimodles". PhD thesis, Institut National Polytechnique de Lorraine, France, 2008.
  27. R. Orjuela, B. Marx, D. Maquin, and J. Ragot. State estimation of nonlinear discrete-time systems based on the decoupled multiple model approach. In 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007, Angers, France, 2007.
  28. R. Orjuela, B. Marx, D. Maquin, and J. Ragot. "a decoupled multiple model approach for state estimation of nonlinear systems subject to delayed measurements ". In In 3rd IFAC Advanced Fuzzy and Neural Network Workshop, AFNC, Valenciennes, France, 2007.
  29. J. Prakash and R. Senthil. "design of observer based nonlinear model predictive controller for a continuous stirred tank reactor". Journal of Process Control, 18:504–514, 2008.
  30. J. H. Lee and N. L. Ricker. "extended kalman filter based nonlinear model predictive control". Industrial Engineering and Chemistry Research, 33:1530–1541, 1994.
  31. S. Dan. "optimal state estimation-kalman h inf and nonlinear approaches". A John Wiley &Sons, Inc. , Publication, 2006.
  32. M. Geetha, J. Jerome, and V. Devatha. "design of state estimation based model predictive controller for a two tank interacting system". International Conference on Design and Manufacturing (IConDM2013), 64:244–253, 2013.
  33. A. Messaoud, M. Ltaief, and R. Ben Abdennour. "supervision based a multipredictor for an uncoupled state multimodel predictive control". In The 6th International conference on electrcal systems and automatic control, JTEA'2010, Hammamet, Tunisia, 2010.
  34. A. Messaoud, M. Ltaief, and R. Ben Abdennour. "supervision based on partial predictors for a multimodel generalized predictive control: experimental validation on a semi-batch reactor". International Journal of Modeling, Identification and Control, 6(4):333–340, 2009.
  35. O. Pags, C. Bernard, O. Raul, and M. Pascal. "control system design by using a multi-controller approach with a real-time experimentation for a robot wrist". International Journal Of Control, 75(16):1321–1334, 2002.
  36. R. Orjuela, D. Maquin, and J. Ragot. "nonlinear system identification using uncoupled state multiple-model approach". In 4th Workshop on Advanced Control and Diagnosis, ACD'20-06, Nancy, France, 2006.
  37. A. Savran. "discrete state space modeling and control of nonlinear unknown systems". ISA Transactions, 52:795–806, 2013.
Index Terms

Computer Science
Information Sciences

Keywords

Predictive Control Time-delay Systems Multi-observer Supervisor Multimodel Approach