Controller design for distributed systems based on Hankel-norm approximations

Abstract

A procedure for obtaining a finite-dimensional reduced-order model for a class of distributed systems is developed. It is based on a combination of a modal approximation and an optimal Hankel-norm approximation and the approximation error can be accurately predicted. The reduced-order model can be used to design a precompensator for the original system as its performance and robust stability characteristics can be deduced from the reduced-order model and finitely many modal parameters. The procedure is applied to a parabolic system.