From Dirac structure to state model: identification of linear time-varying port-Hamiltonian systems

Authors

Edward Branford, Paolo Rapisarda

Abstract

We use energy conservation and power flows in port-Hamiltonian systems to develop a system identification procedure for linear time-varying systems. The basic idea is to use external energy flows to obtain information on internal energy storage, and hence state trajectories. Given N input and output trajectories (uk, yk ), k = 1, … , N of a linear port- Hamiltonian system, and additional information on resistive variables, a set of state trajectories xk, k = 1, …, N is computed via factorisation of a matrix of functions constructed from the external information. The basis transformation associated with a canonical factorisation of this matrix is discussed.

Citation

• Journal: 2019 IEEE 58th Conference on Decision and Control (CDC)
• Year: 2019
• Volume:
• Issue:
• Pages: 2666–2671
• Publisher: IEEE
• DOI: 10.1109/cdc40024.2019.9030136

BibTeX

@inproceedings{Branford_2019,
  title={{From Dirac structure to state model: identification of linear time-varying port-Hamiltonian systems}},
  DOI={10.1109/cdc40024.2019.9030136},
  booktitle={{2019 IEEE 58th Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Branford, Edward and Rapisarda, Paolo},
  year={2019},
  pages={2666--2671}
}

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References

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