Heuristic Robustness Analysis of Model Based Predictive Controllers

J.M. Maciejowski and S.A. Heise (12th IFAC World Congress, Sydney, 1993)

Model based predictive control schemes have been applied very successfully in the process industries, even though very little is known about them theoretically --- typically even stability cannot be proved. Their use in reconfigurable control schemes makes them of potential interest in applications such as flight control, and the increasing speed of hardware makes such applications feasible in the near future. However an essential prerequisite for such applications is a much better theoretical understanding of MBPC systems. The main theoretical contribution of this paper is a proof that most MBPC schemes are piecewise-LTI, even when constraints are active. On the basis of this, some heuristics are indicated for the selection of competing MBPC designs.

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