New Optimality Condition of Fixed-End-Point Regulator for Multi-Input Linear Digital Systems

概要

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This paper discusses the regulator problem with the zero terminal state for a multi-input linear digital system. First, for a general additive performance index, the fundamental structure of the regulator which drives the state to zero within a finite time is obtained. This problem is divided into three phases : the new free-end-point problem in the first phase, the new free-end-point problem for the new time-variant system with the time-variant structure of the new inputs in the second phase, and the constant gain special deadbeat control in the third phase. That is, the new optimality condition of the fixed-end-point regulator is expressed by the special deadbeat control and the optimality condition of the induced free-end-point regulator. Furthermore, the closed-loop expression for the quadratic performance index is obtained to show the effectiveness of the new optimality condition.
一般社団法人日本機械学会の論文
1993-06-15