Self-tuning generalized predictive control with input constraints
Królikowski, Andrzej ; Jerzy, Damian
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001), p. 459-479 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:207515
@article{bwmeta1.element.bwnjournal-article-amcv11i2p459bwm,
     author = {Kr\'olikowski, Andrzej and Jerzy, Damian},
     title = {Self-tuning generalized predictive control with input constraints},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {11},
     year = {2001},
     pages = {459-479},
     zbl = {0969.93500},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p459bwm}
}
Królikowski, Andrzej; Jerzy, Damian. Self-tuning generalized predictive control with input constraints. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 459-479. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p459bwm/

[000] Bazaraa M.S. and Shetty C.M. (1979): Nonlinear Programming. Theory and Algorithms. - New York: Wiley. | Zbl 0476.90035

[001] Bitmead R.R., Gevers M. and Wertz V. (1990): Adaptive Optimal Control. - New York: Prentice Hall. | Zbl 0751.93052

[002] Camacho E.F. (1993): Constrained generalised predictive control. - IEEE Trans. Automat. Contr., Vol.38, No.2, pp.327-332. | Zbl 0775.93138

[003] Camacho E.F. and Bordons C. (1995): Model Predictive Control in the process industry. - London: Springer.

[004] De Nicolao G., Scattolini R. and Sala G. (1996): An adaptive predictive regulator with input saturations. - Automatica, Vol.32, No.4, pp.597-601. | Zbl 0852.93042

[005] 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. | Zbl 0897.93023

[006] 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.

[007] Rossiter J.A. and Kouvaritakis B. (1993): Constrained stable generalised predictive control. - IEE Proc., Pt.D, Vol.140, No.4, pp.243-254. | Zbl 0786.93005

[008] 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. | Zbl 0915.92023

[009] 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. | Zbl 0671.93064