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

Abstract : 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.
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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⟩

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