Simultaneous Robust Regulation in the Frequency Domain

Abstract

This paper aims to find conditions that guarantee the existence of a controller that achieves asymptotic tracking of a given output behavior for two or more plants simultaneously, while being fault-tolerant to small perturbations in the given plants. The problem of finding such a controller is called the simultaneous robust regulation problem. This paper studies the problem with finite-dimensional systems and presents solvability conditions for it using a stable factorization approach based on coprime factorizations of the plant transfer functions. The theoretical results are illustrated with an example.