Identification of Port-Hamiltonian Systems from Frequency Response Data

Peter Benner; Pawan Goyal; Paul Van Dooren

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arXiv · 1911.00080

Identification of Port-Hamiltonian Systems from Frequency Response Data

Peter Benner·Pawan Goyal·Paul Van Dooren

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Abstract

In this paper, we study the identification problem of a passive system from tangential interpolation data. We present a simple construction approach based on the Mayo-Antoulas generalized realization theory that automatically yields a port-Hamiltonian realization for every strictly passive system with simple spectral zeros. Furthermore, we discuss the construction of a frequency-limited port-Hamiltonian realization. We illustrate the proposed method by means of several examples.

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Peter Benner, Pawan Goyal, Paul Van Dooren. 2019-10-31. Identification of Port-Hamiltonian Systems from Frequency Response Data. https://arxiv.org/abs/1911.00080

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