Control system design method based on multiple-precision arithmetic with guaranteed accuracy

This paper presents control system design method based on multiple-precision arithmetic with guaranteed accuracy. By using the proposed methods, it is possible to guarantee numerical quality about design of control system with very high accuracy which is impossible to compute by usual double precision arithmetic. We develop numerical computation with guaranteed accuracy package and multiple-precision arithmetic package by Java. And, this paper applies multiple-precision arithmetic with guaranteed accuracy to pole assignment problem and LQ control problem.