Title :
Moment matching for linear port-Hamiltonian systems
Author :
Polyuga, Rostyslav V. ; van der Schaft, Arjan
Author_Institution :
Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
Moment matching approach of model reduction of linear dynamical state-space systems for a given input-generating system is discussed and applied to port-Hamiltonian systems. It is shown that the reduced order models inherit the port-Hamiltonian structure, the passivity property and preserve a certain number of the moments of a transfer function. Another approach to model reduction of port-Hamiltonian systems by means of the Krylov methods is considered. It is shown that in this case reduced order models are again port-Hamiltonian and therefore passive. The port-Hamiltonian structure of the reduced order models in both cases is investigated.
Keywords :
linear systems; reduced order systems; state-space methods; transfer functions; Krylov methods; input- generating system; linear dynamical state-space systems; linear port-Hamiltonian systems; model reduction; moment matching approach; passivity property; reduced order models; transfer function; Equations; Linear systems; Markov processes; Mathematical model; Reduced order systems; Symmetric matrices; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
