Explicit port-Hamiltonian formulation of multi-bond graphs for an automated model generation. (October 2020)

• Record Type: Journal Article
• Authors: Pfeifer, Martin; Caspart, Sven; Hampel, Silja; Muller, Charles; Krebs, Stefan; Hohmann, Sören
• Is Part Of: Automatica. Volume 120(2020)
• Publication Date: 2020-10
• Subjects: Port-Hamiltonian systems -- Bond graphs -- Automated modelling -- State-space models -- Model generation; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.109121
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Port-Hamiltonian system theory is a well-known framework for the control of complex physical systems. The majority of port-Hamiltonian control design methods base on an explicit input-state-output port-Hamiltonian model for the system under consideration. However in the literature, little effort has been made towards a systematic, automatable derivation of such explicit models. In this paper, we present a constructive, formally rigorous method for an explicit port-Hamiltonian formulation of multi-bond graphs. Two conditions, one necessary and one sufficient, for the existence of an explicit port-Hamiltonian formulation of a multi-bond graph are given. We summarise our approach in an algorithm for the automated generation of an explicit port-Hamiltonian model from a given multi-bond graph. An academic example illustrates the results of this paper.