Design of a practical robust controller for a sampled distributed parameter system

Abstract

This work considers the control of sampled distributed parameter systems. These large-scale systems have a specific structure which allows for simplification of robust controller design compared to the general MIMO system case. This paper introduces and analyzes a controller structure which has been developed specifically for these systems. The controller design and analysis is performed in terms of the dynamic frequencies and also the spatial Fourier components of the process response. The controller tuning strategy proposed uses frequency loop shaping ideas which are applied in the spatial variable domain. The controller designed is proven to be robustly stable for a wide range of model uncertainty structures commonly occurring in practical systems.