Approximate robust output regulation of boundary control systems

D4 Published development or research report or study


Internal Authors/Editors


Publication Details

List of Authors: Jukka-Pekka Humaloja, Mikael Kurula, Lassi Paunonen
Publisher: arXiv.org
Publication year: 2017


Abstract

We extend the internal model principle for systems with boundary control and
boundary observation, and construct a robust controller for this class of
systems. However, as a consequence of the internal model principle, any robust
controller for a plant with infinite-dimensional output space necessarily has
infinite-dimensional state space. We proceed to formulate the approximate
robust output regulation problem and present a finite-dimensional controller
structure to solve it. Our main motivating example is a wave equation on a
bounded multidimensional spatial domain with force control and velocity
observation at the boundary. In order to illustrate the theoretical results, we
construct an approximate robust controller for the wave equation on an annular
domain and demonstrate its performance with numerical simulations


Last updated on 2019-20-11 at 03:31