Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems
作者： Tudor C. Ionescu , Alessandro Astolfi
DOI: 10.1016/J.AUTOMATICA.2013.05.006
关键词: Moment (mathematics) 、 Hamiltonian path problem 、 Hamiltonian (control theory) 、 Applied mathematics 、 Interpolation 、 Linear system 、 Parameterized complexity 、 Hamiltonian system 、 Discrete mathematics 、 Matching (statistics) 、 Mathematics 、 Control and Systems Engineering 、 Electrical and Electronic Engineering
摘要: In this paper we propose a solution to the problem of moment matching with preservation port Hamiltonian structure, in framework time-domain matching. We characterize several families parameterized models that match moments given system, at set finite interpolation points. also discuss Markov parameters for linear systems as descriptor representations associated zero Solving yields reduced order achieve parameter Finally, apply these results case, resulting approximations.
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