ISS of multistable systems with delays: application to droop-controlled inverter-based microgrids - CentraleSupélec Access content directly
Conference Papers Year : 2015

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

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 ro-bustness 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.

Domains

Automatic
Fichier principal
Vignette du fichier
2015ACC_0082_FI.pdf (323.51 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01140346 , version 1 (08-04-2015)

Identifiers

Cite

Denis Efimov, Romeo Ortega, Johannes Schiffer. ISS of multistable systems with delays: application to droop-controlled inverter-based microgrids. 2015 American Control Conference (ACC), Jul 2015, Chicago, United States. ⟨10.1109/acc.2015.7172064⟩. ⟨hal-01140346⟩
847 View
584 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More