Deadbeat Control of Continuous Time H_∞ Control System

Abstract

Continuous time deadbeat control is eliminating controlled signal of a continuous time system in a finite time. In this paper we show an application of continuous time deadbeat control: deadbeat control of continuous time H_∞ control system. To design a deadbeat control system, we use a free parameter function of a controller in a standard H_∞ control system. The free parameter function should satisfy simultaneously some interpolation conditions for deadbeat control and a norm condition for H_∞ control. We parametrize the functions which satisfy the interpolation conditions and find a function satisfying the norm condition with linear matrix inequality. We also give some numerical examples and show the effectiveness of the proposed design.