Robustness of delayed multistable systems ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Robustness of delayed multistable systems with application to droop-controlled inverter-based microgrids
Auteur(s) :
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Schiffer, Johannes [Auteur]
Technical University of Berlin / Technische Universität Berlin [TU]
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]
Non-Asymptotic estimation for online systems [NON-A]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Schiffer, Johannes [Auteur]
Technical University of Berlin / Technische Universität Berlin [TU]
Ortega, Romeo [Auteur]
Laboratoire des signaux et systèmes [L2S]
Titre de la revue :
International Journal of Control
Pagination :
909-918
Éditeur :
Taylor & Francis
Date de publication :
2016-05
ISSN :
0020-7179
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Résumé en anglais : [en]
Motivated by the problem of phase-locking in droop-controlled inverter-based microgrids with delays, the recently developed theory of input-to-state stability (ISS) for multistable systems is extended to the case of ...
Lire la suite >Motivated by the problem of phase-locking in droop-controlled inverter-based microgrids with delays, the recently developed theory of input-to-state stability (ISS) for multistable systems is extended to the case of multistable systems with delayed dynamics. Sufficient conditions for ISS of delayed systems are presented using Lyapunov-Razumikhin functions. It is shown that ISS multistable systems are robust with respect to delays in a feedback. The derived theory is applied to two examples. First, the ISS property is established for the model of a nonlinear pendulum and delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumptions, the problem of phase-locking analysis in droop-controlled inverter-based microgrids with delays can be reduced to the stability investigation of the nonlinear pendulum. For this case, corresponding delay-dependent conditions for asymptotic phase-locking are given.Lire moins >
Lire la suite >Motivated by the problem of phase-locking in droop-controlled inverter-based microgrids with delays, the recently developed theory of input-to-state stability (ISS) for multistable systems is extended to the case of multistable systems with delayed dynamics. Sufficient conditions for ISS of delayed systems are presented using Lyapunov-Razumikhin functions. It is shown that ISS multistable systems are robust with respect to delays in a feedback. The derived theory is applied to two examples. First, the ISS property is established for the model of a nonlinear pendulum and delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumptions, the problem of phase-locking analysis in droop-controlled inverter-based microgrids with delays can be reduced to the stability investigation of the nonlinear pendulum. For this case, corresponding delay-dependent conditions for asymptotic phase-locking are given.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
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