Control System Synthesis by Sensitivity Considerations

Abstract

The purpose of this paper is to provide a new open-loop control system synthesis method by active use of the system sensitivity. The concept of the combined system is, at first, introduced, which consists of both the originally given model of a physical system and its sensitivity model. Secondly, the controllability of it is analysed, where some interesting properties of the combined system constrollability are made clear. Thirdly, based on these controllability analyses, the method of the sensitivity synthesis is developed in the minimum energy problem with terminal constraints from the view point of making the terminal constraints more rigid against parameter perturbations. Several simple examples are given to illustrate the effectiveness of the present method. Finally, it is suggested that the undesirable effects of the existing slight nonlinearity neglected at the stage of modeling can be diminished in the same manner.