時変の確率最適制御を用いた板厚制御におけるばらつき抑制

Abstract

This paper is concerned with controller design for the automatic gauge control system. In order to produce steel plates of good quality with high reliability, stochastic optimal control for variance suppression is adopted in this paper. The probability distributions of the physical parameters of the plant system may be time varying. Whereas the conventional stochastic optimal control methods can treat only time invariant probability distributions of the parameters, this paper derives an optimal control law to take care of time varying probability distributions. We apply the proposed method to gauge control in order to suppress the variation of the plate thickness. In addition, a numerical example exhibits the effectiveness of the proposed method.