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1 International Journal of Applied Mathematics and Computer Science

1 1999

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Some Issues in the Design of Predictive Controllers

Magni L., De Nicolao G., Scattolini R.

International Journal of Applied Mathematics and Computer Science

1999

Vol. 9, no 1

9-24

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.