Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2004 | 14 | 2 | 167-180
Tytuł artykułu

An infinite horizon predictive control algorithm based on multivariable input-output models

Treść / Zawartość
Warianty tytułu
Języki publikacji
In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.
Opis fizyczny
  • Warsaw University of Technology, Institute of Control and Computation Engineering, ul. Nowowiejska 1519, 00-665 Warszawa, Poland
  • Warsaw University of Technology, Institute of Control and Computation Engineering, ul. Nowowiejska 1519, 00-665 Warszawa, Poland
  • Bitmead R.R., Gevers M. and Wertz V. (1990): Adaptive Optimal Control-The Thinking Man's GPC. - Englewood Cliffs: Prentice Hall.
  • Camacho E.F. and Bordons C. (1999): Model Predictive Control. - London: Springer.
  • Chisci L. and Mosca E. (1994): Stabilizing I-O receding horizon control of CARMA plants. - IEEE Trans. Automat. Contr., Vol. 39, No. 3, pp. 614-618.
  • Clarke D.W. and Scattolini R. (1991): Constrained receding-horizon predictive control. - Proc. IEE, Part D, Vol. 138, No. 4, pp. 347-354.
  • Clarke D.W. and Mohtadi C. (1989): Properties ofgeneralized predictive control. - Automatica, Vol. 25, No. 6, pp. 859-875.
  • Clarke D.W., Mohtadi C. and Tuffs P.S. (1987a): Generalized predictive control - I. The basic algorithm. -Automatica, Vol. 23, No. 2, pp. 137-148.
  • Clarke D.W., Mohtadi C. and Tuffs P.S. (1987b): Generalized predictive control - II. Extensions and interpretations.- Automatica, Vol. 23, No. 2, pp. 149-160.
  • Cutler C.R. and Ramaker B.L. (1980): Dynamic matrix control - A computer control algorithm. - Proc. Joint. Automat. Contr. Conf., San Francisco.
  • Golub G.H. and Van Loan C.F. (1989): Matrix Computations. - Baltimore: The Johns Hopkins University Press.
  • Gutman P. and Hagander P. (1985): A new design of constrained controllers for linear systems. - IEEE Trans.Automat. Contr., Vol. 30, No. 1, pp. 22-33.
  • Henson M.A. (1998): Nonlinear model predictive control: current status and future directions. - Comput.Chem. Eng., Vol. 23, No. 2, pp. 187-202.
  • Kailath T. (1980): Linear Systems. - Englewood Cliffs: Prentice Hall.
  • Kwon W.H. and Byun D.G. (1989): Receding horizon tracking control as a predictive control and its stability properties. -Int. J. Contr., Vol. 50, No. 5, pp. 1807-1824.
  • Maciejowski J.M. (2002): Predictive Control with Constraints. - Englewood Cliffs: Prentice Hall.
  • Mayne D.Q. (2001): Control of constrained dynamic systems. - Europ. J. Contr., Vol. 7, Nos. 2-3, pp. 87-99.
  • Mayne D.Q., Rawlings J.B., Rao C.V. and Scokaert P.O.M. (2000): Constrained model predictive control: Stability and optimality. - Automatica, Vol. 36, No. 6, pp. 789-814.
  • Morari M. and Lee J.H. (1999): Model predictive control: past, present and future. - Comput. Chem. Eng., Vol. 23, No. 45, pp. 667-682.
  • Muske K.R. and Rawlings J.B. (1993): Model predictive control with linear models. - AIChE J., Vol. 39, No. 2, pp. 262-287.
  • Ordys W.A., Hangstrup M.E. and Grimble M.J. (2000): Dynamic algorithm for linear quadratic Gaussian predictive control.- Int. J. Appl. Math. Comput. Sci., Vol. 10, No. 2, pp. 227-244.
  • Rawlings J.B. and Muske K.R. (1993): The stability of constrained receding horizon control. - IEEE Trans.Automat. Contr., Vol. 38, No. 10, pp. 1512-1516.
  • Rouhani R. and Mehra R.K. (1982): Model algoritmic control (MAC); Basic theoretical properties. - Automatica, Vol. 18, No. 4, pp. 401-414.
  • Scattolini R. and Bittanti S. (1990): On the choice of the horizon in long-range predictive control - some simple criteria. - Automatica, Vol. 26, No. 5, pp. 915-917.
  • Scokaert P.O.M. (1997): Infinite horizon generalized predictive control. - Int. J. Contr., Vol. 66, No. 1, pp. 161-175.
  • Scokaert P.O.M. and Clarke D. W. (1994): Stabilising properties of constrained predictive control.- Proc. IEE, Part D, Vol. 141, No. 5, pp. 295-304.
  • Sznaier M. and Damborg M.J. (1990): Heuristically enhanced feedback control of constrained discrete-time linear systems. - Automatica, Vol. 26, No. 3, pp. 521-532.
  • Tatjewski P. (2002): Advanced Control of Industrial Processes, Structures and Algorithms. - Warszawa: Akademicka Oficyna Wydawnicza Exit (in Polish).
  • Zafiriou E. (1990): Robust model predictive control of processes with hard constraints. - Comput. Chem. Eng., Vol. 14, Nos. 45, pp. 359-371.
  • Zafiriou E. and Marchal A.L. (1991): Stability of SISO quadratic dynamic matrix control with hard output constraints. - AIChE J., Vol. 37, No. 10, pp. 1550-1560.
Typ dokumentu
Identyfikator YADDA
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.