Deutscher J, Gabriel J (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 103
Pages Range: 208-216
DOI: 10.1016/j.automatica.2019.02.006
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.
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.
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