Self-tuning generalized predictive control with input constraints

Andrzej Królikowski; Damian Jerzy

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 2, page 459-479
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Królikowski, Andrzej, and Jerzy, Damian. "Self-tuning generalized predictive control with input constraints." International Journal of Applied Mathematics and Computer Science 11.2 (2001): 459-479. <http://eudml.org/doc/207515>.

@article{Królikowski2001,
abstract = {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.},
author = {Królikowski, Andrzej, Jerzy, Damian},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {self-tuning; ARIMAX/ARMAX systems; constraints; generalized predictive control},
language = {eng},
number = {2},
pages = {459-479},
title = {Self-tuning generalized predictive control with input constraints},
url = {http://eudml.org/doc/207515},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Królikowski, Andrzej
AU - Jerzy, Damian
TI - Self-tuning generalized predictive control with input constraints
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 2
SP - 459
EP - 479
AB - 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.
LA - eng
KW - self-tuning; ARIMAX/ARMAX systems; constraints; generalized predictive control
UR - http://eudml.org/doc/207515
ER -

References

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  6. 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. Zbl0897.93023
  7. 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. 
  8. Rossiter J.A. and Kouvaritakis B. (1993): Constrained stable generalised predictive control. - IEE Proc., Pt.D, Vol.140, No.4, pp.243-254. Zbl0786.93005
  9. 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. Zbl0915.92023
  10. 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. Zbl0671.93064

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