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

Authors

Johannes Schiffer, Emilia Fridman, Romeo Ortega

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.

Citation

• Journal: 2015 54th IEEE Conference on Decision and Control (CDC)
• Year: 2015
• Volume:
• Issue:
• Pages: 6391–6396
• Publisher: IEEE
• DOI: 10.1109/cdc.2015.7403226

BibTeX

@inproceedings{Schiffer_2015,
  title={{Stability of a class of delayed port-Hamiltonian systems with application to droop-controlled microgrids}},
  DOI={10.1109/cdc.2015.7403226},
  booktitle={{2015 54th IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Schiffer, Johannes and Fridman, Emilia and Ortega, Romeo},
  year={2015},
  pages={6391--6396}
}

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References

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