ISS of multistable systems with delays: application to droop-controlled inverter-based microgrids

Denis Efimov 1 Roméo Ortega 2 Johannes Schiffer 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
Type de document :
Communication dans un congrès
ACC'15, Jul 2016, Chicago, United States. 2015, Proceedings of the 2015 American Control Conference ACC'15
Liste complète des métadonnées

https://hal-centralesupelec.archives-ouvertes.fr/hal-01262189
Contributeur : Myriam Baverel <>
Soumis le : mardi 26 janvier 2016 - 13:56:11
Dernière modification le : jeudi 11 janvier 2018 - 06:27:32

Identifiants

  • HAL Id : hal-01262189, version 1

Citation

Denis Efimov, Roméo Ortega, Johannes Schiffer. ISS of multistable systems with delays: application to droop-controlled inverter-based microgrids. ACC'15, Jul 2016, Chicago, United States. 2015, Proceedings of the 2015 American Control Conference ACC'15. 〈hal-01262189〉

Partager

Métriques

Consultations de la notice

349