一入力高精度ディジタルレギュレータの基本構造とデッドビートLQ最適制御の新解法

抄録

This paper discusses the regulator problem with the zero terminal state for a single-input linear time-invariant discrete-time system. First, for the general additive performance index, the fundamental structure of the accurate digital regulator which drives the state to zero within a finite time is obtained. This problem is divided into two sections; the new free terminal state problem in the former section, and the constant gain deadbeat control in the latter section. By using this fundamental structure, the new solution of the deadbeat LQ optimal control problem is obtained. Furthermore, the sufficiency of the optimal solution of the deadbeat LQ optimal control problem is shown by using the property of the linear-quadratic form.