A fractional representation approach to the robust regulation problem for MIMO systems
Abstract
The aim of this paper is in developing unifying frequency domain theory for robust regulation of MIMO systems. The main theoretical results achieved are a new formulation of the internal model principle, solvability conditions for the robust regulation problem, and a parametrization of all robustly regulating controllers. The main results are formulated with minimal assumptions and without using coprime factorizations, thus guaranteeing their applicability with a very general class of systems. In addition to theoretical results, the design of robust controllers is addressed. The results are illustrated by two examples involving a delay and a heat equation.
Keywords
Cite
@article{arxiv.2005.11125,
title = {A fractional representation approach to the robust regulation problem for MIMO systems},
author = {Petteri Laakkonen},
journal= {arXiv preprint arXiv:2005.11125},
year = {2022}
}
Comments
21 pages, 3 figures. To appear in International Journal of Robust and Nonlinear Control