Stability of a class of delayed port-Hamiltonian systems with application to droop-controlled microgrids

Johannes Schiffer (1) , Emilia Fridman (2) , Roméo Ortega (3)

1 TU - Technical University of Berlin / Technische Universität Berlin
2 Department of Electrical Engineering
3 L2S - Laboratoire des signaux et systèmes

A class of port-Hamiltonian systems with delayed interconnection matrices is considered. This class of systems is motivated by the problem of stability in droop-controlled microgrids with delays. Delay-dependent stability conditions are derived via the Lyapunov-Krasovskii method. The stability conditions are applied to an exemplary microgrid. The efficiency of the results is illustrated via a simulation example.

Domains: Automatic Control Engineering; Automatic

Johannes Schiffer, Emilia Fridman, Roméo Ortega. Stability of a class of delayed port-Hamiltonian systems with application to droop-controlled microgrids. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. ⟨10.1109/cdc.2015.7403226⟩. ⟨hal-01262373⟩