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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

EN

Abstrakty

EN
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.

Rocznik

Tom

14

Numer

2

Strony

167-180

Opis fizyczny

Daty

wydano
2004
otrzymano
2002-11-16
poprawiono
2004-02-02

Twórcy

  • 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

Bibliografia

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  • 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.
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  • Zafiriou E. (1990): Robust model predictive control of processes with hard constraints. - Comput. Chem. Eng., Vol. 14, Nos. 45, pp. 359-371.
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Bibliografia

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