Optimal process control realizing the closest approach for the regulated output signal to a given set and the application to groundwater system

摘要

The paper deals with a class of control problems, where the reference signal is not a given value but a given set and where no value from this set can be reached by the regulated output signal of the process because of constraints of the actuator signal. For solving the resulting problem the actuator signal is calculated in such a way that the distance between the given set for the regulated output and the realizable regulated output is minimized under the given constraints. Existing degrees of freedom are used to minimize a cost functional. The algorithm developed in this paper is applied to control a groundwater system.