Finite-Dimensional H∞ Controllers for a Class of Infinite-Dimensional Linear Time-Varying Systems

Abstract

This paper is concerned with a design of finite-dimensional H∞ time-varying controllers for infinite-dimensional linear time-varying systems whose homogeneous parts are of modal type. A finite-dimensional model is derived for the infinite-dimensional system, and an H∞ controller is constructed for the finite-dimensional model. Then, it is shown that a controller, which consists of a residual mode filter and the H∞ controller mentioned above becomes a finite-dimensional H∞ controller for the given infinite-dimensional system if the order of residual mode filter is chosen sufficiently large.