A port-Hamiltonian formulation of physical switching systems with varying constraints

Authors:
Claire Valentin;Miguel Magos;Bernhard Maschke
Affiliations:
Laboratoire d'Automatique et de Génie des Procédés, LAGEP, UMR CNRS 5007, Université Claude Bernard Lyon 1, bat. 308 G, ESCPE, 43, Bd du 11 Novembre 1918, 69622 Villeurbanne ce ...;Laboratoire d'Automatique et de Génie des Procédés, LAGEP, UMR CNRS 5007, Université Claude Bernard Lyon 1, bat. 308 G, ESCPE, 43, Bd du 11 Novembre 1918, 69622 Villeurbanne ce ...;Laboratoire d'Automatique et de Génie des Procédés, LAGEP, UMR CNRS 5007, Université Claude Bernard Lyon 1, bat. 308 G, ESCPE, 43, Bd du 11 Novembre 1918, 69622 Villeurbanne ce ...
Venue:
Automatica (Journal of IFAC)
Year:
2007

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Abstract

This paper extends a generic method to design a port-Hamiltonian formulation modeling all geometric interconnection structures of a physical switching system with varying constraints. A non-minimal kernel representation of this family of structures (named Dirac structures) is presented. It is derived from the parameterized incidence matrices which are a mathematical representation of the primal and dual dynamic network graphs associated with the system. This representation has the advantage of making it possible to model complex physical switching systems with varying constraints and to fall within the framework of passivity-based control.