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Structure‐preserving model reduction of port‐Hamiltonian systems based on projection
Author(s) -
Huang Yao,
Jiang YaoLin,
Xu KangLi
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2332
Subject(s) - hamiltonian system , mathematics , hamiltonian (control theory) , projection (relational algebra) , reduction (mathematics) , port (circuit theory) , interpolation (computer graphics) , control theory (sociology) , topology (electrical circuits) , algebra over a field , mathematical analysis , algorithm , mathematical optimization , computer science , pure mathematics , geometry , engineering , combinatorics , artificial intelligence , image (mathematics) , control (management) , electrical engineering
In this paper, we consider structure‐preserving model reduction for multi‐input multi‐output port‐Hamiltonian systems based on projection. Specifically, we prove that the reduced system, the projection matrix of which is constructed by solving specific Sylvester equations, satisfies the right (or left) tangential interpolation condition and retains the port‐Hamiltonian structure; hence it remains passive. Based on the tangential interpolation, we propose two structure‐preserving model reduction algorithms for port‐Hamiltonian systems and present several numerical examples to illustrate their effectiveness.