TY - JOUR
T1 - Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
AU - Polyuga, R.V.
AU - Schaft, van der, A.J.
PY - 2010
Y1 - 2010
N2 - Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered, aiming at port-Hamiltonian structure preservation. It is shown how to employ the Arnoldi method for model reduction in a particular coordinate system in order to preserve not only a specific number of the Markov parameters but also the port-Hamiltonian structure for the reduced order model. Furthermore it is shown how the Lanczos method can be applied in a structure preserving manner to a subclass of port-Hamiltonian systems which is characterized by an algebraic condition. In fact, for the same subclass of port-Hamiltonian systems the Arnoldi method and the Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function.
Keywords: Port-Hamiltonian systems; Model reduction; Krylov methods; Arnoldi method, Lanczos method; Structure preservation; Markov parameters.
AB - Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered, aiming at port-Hamiltonian structure preservation. It is shown how to employ the Arnoldi method for model reduction in a particular coordinate system in order to preserve not only a specific number of the Markov parameters but also the port-Hamiltonian structure for the reduced order model. Furthermore it is shown how the Lanczos method can be applied in a structure preserving manner to a subclass of port-Hamiltonian systems which is characterized by an algebraic condition. In fact, for the same subclass of port-Hamiltonian systems the Arnoldi method and the Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function.
Keywords: Port-Hamiltonian systems; Model reduction; Krylov methods; Arnoldi method, Lanczos method; Structure preservation; Markov parameters.
U2 - 10.1016/j.automatica.2010.01.018
DO - 10.1016/j.automatica.2010.01.018
M3 - Article
SN - 0005-1098
VL - 46
SP - 665
EP - 672
JO - Automatica
JF - Automatica
IS - 4
ER -