direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 8-2019

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

Source file is available as :   Portable Document Format (PDF)

Author(s) : Karim Cherifi , Volker Mehrmann , Kamel Hariche

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 8-2019

MSC 2000

93B15 Realizations from input-output data
93B20 Minimal systems representations

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

Keywords : port-Hamiltonian system, positive-real system, minimal realization, dissipation inequality

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe