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Stable output feedback model predictive control design: LMI approach

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Języki publikacji
EN
Abstrakty
EN
The paper addresses two design problems dealing with a quadratic stable output/state feedback model predictive control for linear systems without constraints. For the first approach the model predictive control is designed for a N2 state ahead prediction using the Lyapunov function approach with cost function. In the second approach, the one step ahead prediction control is designed using classical LQR state feedback controller approach. By Diophantine matrix equation, the classical state feedback is recalculated to output one step ahead model predictive control. Three examples are given to demonstrate the effectiveness of proposed methods.
Rocznik
Strony
385--394
Opis fizyczny
Bibliogr. 12 poz., rys., tab.
Twórcy
autor
autor
  • URPI, Faculty of Electrical Engineering and IT, Slovak University of Technology, Bratislava, Slovak Republic, vojtech.vesely@stuba.sk
Bibliografia
  • [1] E. F. CAMACHO E.F and C. B ORDONS: Model predictive control. Springer-Verlag London Limited, 2004.
  • [2] D. W. CLARKE and C. MOHTADI: Properties of generalized predictive control. Automatica, 25(6), (1989), 859-875.
  • [3] D. W. CLARKE and R. S CATTOLINI : Constrained receding-horizon predictive
  • [4] H. DERMICIOGLU and D. W. CLARKE: Generalized predictive control with endpoint weighting. Proc. IEE, 140, Part D(4), (1993), 275-282.
  • [5] M. C. DE OLIVEIRA, J. F. CAMINO and R. E. SKELTON: A convexifying algorithm for the design of structured linear controllers. Proc. 39th IEEE Conf: on Decision and Control, Sydney, (2000), 2781-2786.
  • [6] R. HABER, U. SCHMITZ and R. BARS: Stabilizing predictive control with infinite control error weighting. Conf. Process Control, Kouty nad Desnou, Czech Republik, R221a, (2002), 1-11.
  • [7] M. V. KOTHARE, V. BALAKRISHNAN, and M. MORARI: Robust constrained model predictive control using linear matrix inequalities. Automatica 32(10), (1996), 1361-1379.
  • [8] J. M. MACIEJOWSKI: Predictive control with constraints. Prentice Hall, 2002.
  • [9] D. Q. MAYNE, J. B. RAWLINGS, C. V. RAO and P. O. M. SCOKAERT: Contrained model predictive control: stability and optimality. Automatica, 36 (2000), 789-814.
  • [10] J. RAWLINGS and K. MUSKE: The stability of constrained receding horizon control. IEEE Trans. on Automatic Control, 38 (1993), 1512-1516.
  • [11] J. A. ROSSITER: Model based predictive control: A practical approach. Control Series, 2003.
  • [12] J. A. ROSSITER and B. KOUVARITAKIS: Advances in model based predictive control. Chapter Advances in Generalized And Constrained Predictive Control. Oxford University Press, 1994.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0048-0006
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