Servomechanism Problem for Distributed Parameter Systems of Parabolic Type

Boundary Input·Boundary Output

Abstract

This paper investigates a servomechanism problem for a distributed parameter system of parabolic type. The system is described by initial-boundary value problem of a diffusion equation with inputs and outputs realized only through the boundary. A feedback control system is designed so as to stabilize the resultant controlled system exponentially and regulate outputs to given reference inputs in spite of unmeasurable disturbances. It is assumed that disturbances and reference inputs treated here both belong to general classes.