Periodic output regulation for general linear heterodirectional hyperbolic systems

• Autores: Joachim Deutscher, Jakob Gabriel
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 103, 2019, págs. 208-216
• Idioma: inglés
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• Resumen

  • This paper presents a backstepping 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 backstepping approach is provided. The results of the paper are illustrated for a 4 × 4 hyperbolic system with periodic triangle reference inputs and sinusoidal disturbances subject to time-varying frequencies.