Controller Design for Robust Output Regulation of Regular Linear Systems

TL;DR

This paper introduces three novel dynamic error feedback controllers for robust output regulation of regular linear systems, including minimal order, observer-based, and internal model structures, with robustness to perturbations demonstrated through a heat equation example.

Contribution

The paper presents new controller structures for robust output regulation, including a minimal order controller and controllers robust to specific perturbations, advancing control design for infinite-dimensional systems.

Findings

Successfully designed controllers for robust output tracking

Controllers demonstrated robustness against perturbations

Application to heat equation example confirmed effectiveness

Abstract

We present three dynamic error feedback controllers for robust output regulation of regular linear systems. These controllers are (i) a minimal order robust controller for exponentially stable systems (ii) an observer-based robust controller and (iii) a new internal model based robust controller structure. In addition, we present two controllers that are by construction robust with respect to predefined classes of perturbations. The results are illustrated with an example where we study robust output tracking of a sinusoidal reference signal for a two-dimensional heat equation with boundary control and observation.