Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians

作者：

Highlights：

• The proposed method explores the structure-preserving model order reduction of port-Hamiltonian systems on an arbitrary finite-time interval [T1, T2].

• Inhomogeneous initial conditions are considered in this manuscript.

• By the shifted Legendre polynomials and the impulse state response, the approximate finite-time Gramians are constructed via the expansion coefficients of the shifted Legendre polynomials.

• The dominant eigenspaces or subspaces of approximate finite-time Gramians are used to generate the reduced order port-Hamiltonian system.

摘要

•The proposed method explores the structure-preserving model order reduction of port-Hamiltonian systems on an arbitrary finite-time interval [T1, T2].•Inhomogeneous initial conditions are considered in this manuscript.•By the shifted Legendre polynomials and the impulse state response, the approximate finite-time Gramians are constructed via the expansion coefficients of the shifted Legendre polynomials.•The dominant eigenspaces or subspaces of approximate finite-time Gramians are used to generate the reduced order port-Hamiltonian system.

论文关键词：Model order reduction,Port-Hamiltonian systems,Structure-preserving,Inhomogeneous initial conditions,Finite-time Gramians,Shifted Legendre polynomials

论文评审过程：Received 29 October 2021, Revised 24 December 2021, Accepted 16 January 2022, Available online 5 February 2022, Version of Record 5 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126959