Trajektorienfolgeregelung für parabolische partielle Differenzialgleichungen mit variablen Parametern Tracking Control for Parabolic PDEs with Varying Parameters

This paper deals with the tracking control design for systems governed by linear parabolic partial differential equations with spatially and temporally varying coefficients and boundary input. For the boundary feedback control the backstepping method is applied, which allows to determine an exponentially stabilizing state feedback controller such that the closed-loop system behaves in the nominal case like a predefined target system. For trajectory tracking an additional degree-of-freedom is introduced in the target system, which is exploited within the flatness based feedforward control design. The realization of the state feedback controller requires the knowledge of the full state evolution. For this, also a backstepping-like observer design is considered.