Hybrid port–Hamiltonian systems: From parameterized incidence matrices to hybrid automata |
| |
Authors: | C Valentin M Magos B Maschke |
| |
Institution: | 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 cedex, France |
| |
Abstract: | This paper shows how to formally design a hybrid automaton model for a wide class of dissipative physical systems with sources and switching topology. This method is based on a mathematical representation of the dynamic network graph and of its dual graph, using the hybrid incidence matrix, and on a constructive method for analyzing admissible and constrained configurations. The port–Hamiltonian representation associated with the set of hybrid system configurations, parameterized by the discrete state of the switches, is synthesized to be part of the hybrid automaton of the system. This is a further step towards a generic control synthesis for physical switching systems. |
| |
Keywords: | Hybrid dynamical systems Modeling Hybrid automata Dynamic network graph Incidence matrix Analysis Admissible configurations Constrained configurations |
本文献已被 ScienceDirect 等数据库收录! |
|