Numerical methods to compute a minimal realization of a port-Hamiltonian\n system

2019/03/17 by Karim Cherifi, Volker Mehrmann, Cherifi, Karim +3 · 1 citation
Engineering · Mathematics · #Advanced Control Systems Optimization #Control and Stability of Dynamical Systems #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1903.07042

openalex publication_date 2019/03/17 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

Port-Hamiltonian (pH) systems are a very important modeling tool in almost\nall areas of systems and control, in particular in network based model of\nmulti-physics multi-scale systems. They lead to remarkably robust models that\ncan be easily interconnected. This paper discusses the derivation of pH models\nfrom time-domain input-output data. While a direct construction of pH models is\nstill an open problem, we present three different indirect numerical methods\nfor the realization of pH systems. The algorithms are implemented in MATLAB and\ntheir performance is illustrated via several numerical examples.\n

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