首页|Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians
Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians
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NSTL
Elsevier
Based on the approximate finite-time Gramians, this paper studies model order reduction method of port-Hamiltonian systems with inhomogeneous initial conditions. The approximate controllability and observability Gramians on the finite-time interval [T-1 , T-2] (0 <= T-1 < T-2 < infinity) can be obtained by the shifted Legendre polynomials and the reduced port Hamiltonian system is constructed by the union of dominant eigenspaces. Since the port Hamiltonian system is square, the cross Gramian on the time interval [T-1 , T-2] can also be approximated by using the shifted Legendre polynomials. Then, the truncated singular value decomposition of the approximate finite-time cross Gramian is carried out to obtain the projection matrix. Finally, the proposed methods are verified by two numerical examples. (c) 2022 Elsevier Inc. All rights reserved.
Model order reductionPort-Hamiltonian systemsStructure-preservingInhomogeneous initial conditionsFinite-time GramiansShifted Legendre polynomialsLINEAR-SYSTEMSBALANCED TRUNCATION
NSTL
Elsevier
