Periodic output regulation for general linear heterodirectional hyperbolic systems

Journal article


Publication Details

Author(s): Deutscher J, Gabriel J
Journal: Automatica
Publication year: 2019
Volume: 103
Pages range: 208-216
ISSN: 0005-1098


Abstract

This paper presents a back stepping solution of the periodic output regulation problem for general linear heterodirectional hyperbolic systems. By utilizing a time-varying signal model, regulators are determined for a general class of periodic reference inputs and disturbances. A systematic design procedure is developed for the state feedback regulator by solving the periodic regulator equations. In order to obtain an output feedback regulator, a time-varying finite-dimensional reference observer and a time-varying infinite-dimensional disturbance observer are determined. For this, a systematic back stepping approach is provided. The results of the paper are illustrated for a 4 x 4 hyperbolic system with periodic triangle reference inputs and sinusoidal disturbances subject to time-varying frequencies. (C) 2019 Elsevier Ltd. All rights reserved.


FAU Authors / FAU Editors

Deutscher, Joachim apl. Prof. Dr.
Lehrstuhl für Regelungstechnik
Gabriel, Jakob
Lehrstuhl für Regelungstechnik


How to cite

APA:
Deutscher, J., & Gabriel, J. (2019). Periodic output regulation for general linear heterodirectional hyperbolic systems. Automatica, 103, 208-216. https://dx.doi.org/10.1016/j.automatica.2019.02.006

MLA:
Deutscher, Joachim, and Jakob Gabriel. "Periodic output regulation for general linear heterodirectional hyperbolic systems." Automatica 103 (2019): 208-216.

BibTeX: 

Last updated on 2019-03-05 at 20:08