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A continuous-time formulation of nonlinear model predictive control. (English) Zbl 0849.93026

This work shows that the continuous-time error feedback globally linearizing control is an unconstrained model predictive controller with a quadratic performance index, in the limit as the prediction horizon beyond the deadtime goes to zero. Using a model predictive approach, a continuous-time nonlinear feedback control law is derived for an open-loop stable single-input single-output process with deadtime. The derived model has an explicit analytical form and various properties in the absence and in the presence of input constraints are analysed. The application of the theory is illustrated by a chemical reactor example.

MSC:

93B52 Feedback control
93B51 Design techniques (robust design, computer-aided design, etc.)
93C10 Nonlinear systems in control theory
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