Conservative systems with ports on contact manifolds
| Authors: | Eberard Damien, LAGEP, UCB lyon1, CPE, Bat308G, France
Maschke Bernhard, University of Lyon, France
van der Schaft Arjan, University of Twente, Netherlands |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Control Systems I |
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| Keywords: | Port Hamiltonian systems, Irreversible Thermodynamics, contact forms, conservative systems |
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Abstract
In this paper we propose an extension of port Hamiltonian systems,called conservative systems with ports, which encompasssystems arising from the Irreversible Thermodynamics. Firstly welift a port Hamiltonian system from its state space manifold tothe thermodynamic phase space to a contact vector field withinputs and outputs. Secondly, we define a more general class ofcontact vector field (called conservative system with ports)generated by a function corresponding to the power of a physicalsystem and illustrate it on a simple example of irreversiblesystem.
