TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

Approximate robust output regulation of boundary control systems

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut2210-2223
JulkaisuIEEE Transactions on Automatic Control
Vuosikerta64
Numero6
Varhainen verkossa julkaisun päivämäärä2018
DOI - pysyväislinkit
TilaJulkaistu - kesäkuuta 2019
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Tiivistelmä

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.