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Verfasst von:Gutekunst, Jürgen [VerfasserIn]   i
 Bock, Hans Georg [VerfasserIn]   i
 Potschka, Andreas [VerfasserIn]   i
Titel:Economic NMPC for averaged infinite horizon problems with periodic approximations
Verf.angabe:Jürgen Gutekunst, Hans Georg Bock, Andreas Potschka
E-Jahr:2020
Jahr:23 April 2020
Umfang:13 S.
Fussnoten:Gesehen am 12.06.2020
Titel Quelle:Enthalten in: Automatica
Ort Quelle:Amsterdam [u.a.] : Elsevier, Pergamon Press, 1963
Jahr Quelle:2020
Band/Heft Quelle:117(2020) Artikel-Nummer 109001, 13 Seiten
ISSN Quelle:0005-1098
Abstract:Feedback control for averaged infinite horizon problems is a challenging task because the optimal way to operate such systems often exhibits a time-varying behavior, i.e. it cannot be represented as a steady state. We present a controller that is based on the excellent approximation properties of periodic solutions to such systems. The controller is capable of autonomously adapting both the optimal periodic trajectory as well as the optimal period itself in case the system parameters change. The amount of necessary a priori information for the controller setup is reduced compared to other Economic Model Predictive Control (EMPC) schemes and the resulting economic performance of the closed-loop is superior to schemes that use a fixed period. Complementary to the standard stability-theory for EMPC, our approach does not require dissipativity conditions and is based solely on assumptions on controllability of the dynamical system, existence of optimal periodic trajectories with descent directions for suboptimal periodic orbits and regularity of the EMPC subproblems. Based on these assumptions we show that the resulting closed-loop economically performs equally well as the optimal periodic trajectory. We illustrate the results with a numerical simulation of a highly nonlinear, unstable air-borne powerkite under varying wind conditions.
DOI:doi:10.1016/j.automatica.2020.109001
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Volltext ; Verlag: https://dx.doi.org/10.1016/j.automatica.2020.109001
 Volltext: http://www.sciencedirect.com/science/article/pii/S0005109820301990
 DOI: https://doi.org/10.1016/j.automatica.2020.109001
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1700512455
Verknüpfungen:→ Zeitschrift

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