Identification of Port-Hamiltonian Systems from Frequency Response Data

TL;DR

This paper introduces a method to identify passive port-Hamiltonian systems from frequency response data using generalized realization theory, enabling automatic and frequency-limited system realizations with practical examples.

Contribution

It presents a novel construction approach for port-Hamiltonian system identification from frequency data, extending to frequency-limited realizations, based on Mayo-Antoulas theory.

Findings

Successfully constructs port-Hamiltonian realizations from frequency response data.

Automatically yields realizations for strictly passive systems with simple spectral zeros.

Demonstrates effectiveness through multiple illustrative examples.

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.