Geodesic
Some Issues in the Design of Predictive Controllers
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 1, pp. 9-24

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In the paper, we discuss how to design a predictive controller capable of addressing a number of important issues ranging from nominal stability to the model identification/controller design interplay. Nominal stability is ensured by resorting to Constrained Receding Horizon Predictive Control. As for robust stability, the connections between the frequency weighting P-polynomial in the cost function and the achievable robustness against multiplicative uncertainty are investigated. Then, a two-step design procedure is proposed in order to enhance the closed-loop robustness and obtain nominal performances. A correlation technique is also proposed as a tool to estimate uncertainty bounds to be used in controller design. Finally, the control and identification procedures are put together to form an iterative identification/control design methodology. A simulation example is reported to illustrate the approach.
Keywords: predictive control, robust control, two degree of freedom regulation, identification for control
Mots-clés : sterowanie predykcyjne, identyfikacja w sterowaniu 
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     title = {Some {Issues} in the {Design} of {Predictive} {Controllers}},
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Magni, L.; De Nicolao, G.; Scattolini, R. Some Issues in the Design of Predictive Controllers. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 1, pp. 9-24. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_1_a0/