Optimum Control Based on an Evaluation Function Including the Initial Investment

抄録

The author proposes a synthetic criterion J of the form J=J_m+kJ_e to evaluate a control system, where J_m is the evaluation function for the operation, J_e is that for the initial investment and k is a constant. It is shown that the maximum M of the manipulated variable can be included in J in the case of the optimization of a system under a constraining condition |u|⪈M, where u is the manipulated variable. As the result, it is shown that the choice of M can have a considerable influence on the value of the evaluation function, and that a better solution will be obtained if M is considered as one of the design parameters, when the optimum control is intended. A control of a pure inertia model is considered as an example, for various types of J_m.