Geodesic
Self-Tuning Generalized Predictive Control With Input Constraints
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 2, pp. 459-479.

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The handling of various input constraints in the self-tuning generalized predictive control (STGPC) problem of ARIMAX/ARMAX 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.
Keywords: generalized predictive control, constraints, self-tuning, ARIMAX/ARMAX systems
Mots-clés : samostrojenie, sterowanie 
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     author = {Kr\'olikowski, A. and Jerzy, D.},
     title = {Self-Tuning {Generalized} {Predictive} {Control} {With} {Input} {Constraints}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {459--479},
     publisher = {mathdoc},
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     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a7/}
}
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Królikowski, A.; Jerzy, D. Self-Tuning Generalized Predictive Control With Input Constraints. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 2, pp. 459-479. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a7/