LQ control problem based on numerical computation with highly guaranteed accuracy using multiple-precision arithmetic

This paper presents a control system design method based on numerical computation with highly guaranteed accuracy using multiple-precision arithmetic. By using the proposed methods, it is possible to guarantee the numerical quality about the design of control system with the very high accuracy which is impossible to compute by usual double precision arithmetic. We also propose a method to find the controller which minimizes an evaluation function for the design specification quickly by using multiple-precision arithmetic and Krawczyk method. And, this paper applies the proposed method to LQ control problem.