Interval Input-State-Output Estimation for Linear Port-Hamiltonian Systems with Application to Power Distribution Systems

Authors

Martin Pfeifer, Stefan Krebs, Felix Hofmann, Martin Kupper, Soren Hohmann

Abstract

This paper addresses the problem of estimating inputs, states, and outputs of a port-Hamiltonian system (PHS). We consider linear, complex-valued PHSs with linear measurements subject to interval uncertainties. Two interval input-state-output estimators are developed and a necessary and sufficient existence condition is given; stability and inclusion are proven. The two estimators are applied to an estimation problem in an electric power system. Numerical simulations proof the validity of the proposed methods.

Citation

• Journal: 2019 IEEE 58th Conference on Decision and Control (CDC)
• Year: 2019
• Volume:
• Issue:
• Pages: 3176–3183
• Publisher: IEEE
• DOI: 10.1109/cdc40024.2019.9029590

BibTeX

@inproceedings{Pfeifer_2019,
  title={{Interval Input-State-Output Estimation for Linear Port-Hamiltonian Systems with Application to Power Distribution Systems}},
  DOI={10.1109/cdc40024.2019.9029590},
  booktitle={{2019 IEEE 58th Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Pfeifer, Martin and Krebs, Stefan and Hofmann, Felix and Kupper, Martin and Hohmann, Soren},
  year={2019},
  pages={3176--3183}
}

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