Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach

Michael Günther; Birgit Jacob; Claudia Totzeck

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arXiv · 2301.02019

Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach

Michael Günther·Birgit Jacob·Claudia Totzeck

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Abstract

We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitivities and the algorithm is tailored such that the structure of the system matrices of the port-Hamiltonian system (skew-symmetry and positive semi-definiteness) is preserved in each iteration of the algorithm. As we only require input-output data, we need to calibrate the initial condition of the internal state of the port-Hamiltonian system as well. Numerical results with synthetic data show the feasibility of the approach.

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Michael Günther, Birgit Jacob, Claudia Totzeck. 2023-01-05. Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach. https://arxiv.org/abs/2301.02019

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