Feedback Stabilization of Parabolic Distributed Parameter Systems by Discrete-Time Input–Output Data

Abstract

In this paper we investigate feedback stabilizability of continuous-time parabolic distributed parameter systems by discrete-time input-output data. We construct a stabilizer using the concepts of state feedback and output feedback through an observer. The design procedure is basically a modal approach which is realized in finite-dimensional theories and algorithms. It is shown that any initial state is reduced with an arbitrary decay rate. Explicit sufficient conditions are given for the convergence of the design scheme.