Self-tuning generalized predictive control with input constraints

• Autorzy: Andrzej Królikowski , Damian Jerzy
• Języki publikacji: EN

Abstrakty

EN

The handling of various input constraints in the self-tuning generalized predictive control (STGPC) problem of ARIMAXARMAX systems is considered. The methods based on the Lagrange multipliers and Lemke's algorithm are used to solve the constrained optimization problem. A self-tuning controller is implemented in an indirect way, and the considered constraints imposed on the control input signal are of the rate, amplitude and energy types. A comparative simulation study of self-tuning control system behaviour is given with respect to the design parameters and constraints. The stability of a closed-loop control system is analyzed and the computational loads of both the methods are compared.

Słowa kluczowe

EN

self-tuning; ARIMAX/ARMAX systems; constraints; generalized predictive control

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 2
• Strony: 459-479

Daty

wydano

2001

otrzymano

2000-07-28

poprawiono

2000-10-13

Twórcy

autor

Andrzej Królikowski

• Department of Control, Robotics and Computer Science, Poznań University of Technology, ul. Piotrowo 3a, 60-965 Poznań, Poland

autor

Damian Jerzy

• Department of Control, Robotics and Computer Science, Poznań University of Technology, ul. Piotrowo 3a, 60-965 Poznań, Poland

Bibliografia

• Bazaraa M.S. and Shetty C.M. (1979): Nonlinear Programming. Theory and Algorithms. - New York: Wiley.
• Bitmead R.R., Gevers M. and Wertz V. (1990): Adaptive Optimal Control. - New York: Prentice Hall.
• Camacho E.F. (1993): Constrained generalised predictive control. - IEEE Trans. Automat. Contr., Vol.38, No.2, pp.327-332.
• Camacho E.F. and Bordons C. (1995): Model Predictive Control in the process industry. - London: Springer.
• De Nicolao G., Scattolini R. and Sala G. (1996): An adaptive predictive regulator with input saturations. - Automatica, Vol.32, No.4, pp.597-601.
• Kothare M.V., Balakrishnan V. and Morari M. (1996): Robust constrained model predictive control using linear matrix inequalities. - Automatica, Vol.32, No.10, pp.1361-1379.
• Lee S.J., Park S.H., Kim C.W., Ham C.S. and Lee J.H. (1997): Generalized predictive control with input constraints. - Proc. 3rd Europ. Contr. Conf., ECC'97, Brussels, CD ROM.
• Rossiter J.A. and Kouvaritakis B. (1993): Constrained stable generalised predictive control. - IEE Proc., Pt.D, Vol.140, No.4, pp.243-254.
• Soufian M., Sandoz D.J. and Soufian M. (1997): Dynamic programming approach for constrained model predictive control.- Prep. 4th IFAC Conf. Syst. Structure Contr., Bucharest, Romania, pp.232-237.
• Tsang T.T.C. and Clarke D.W. (1988): Generalised predictive control with input constraints. - IEE Proc., Pt.D, Vol.135, No.6, pp.451-460.