Difference: IA11a (1 vs. 2)
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| [IA11a] T.Ionescu and A.Astolfi, | ||||||||||
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| < < | Moment matching for linear port Hamiltonian systems, | |||||||||
| > > | _Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems _, | |||||||||
| Automatica, | ||||||||||
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| < < | submitted | |||||||||
| > > | Volume 49, Issue 8, pp 2424–2434, August 2013 | |||||||||
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Abstract | ||||||||||
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| < < | The problem of moment matching with preservation of port Hamiltonian structure is tackled. Based on the time-domain approach to linear moment matching, we characterize the (subset of) port Hamiltonian models from the set of parameterized models that match the moments of a given port Hamiltonian system, at a set of finite points. We also discuss the problem of finding port Hamiltonian reduced order models that match the Markov parameters of a given port Hamiltonian system. | |||||||||
| > > | In this paper we propose a solution to the problem of moment matching with preservation of the port Hamiltonian structure, in the framework of time-domain moment matching. We characterize several families of parameterized port Hamiltonian models that match the moments of a given port Hamiltonian system, at a set of finite interpolation points. We also discuss the problem of Markov parameters matching for linear systems as a moment matching problem for descriptor representations associated with the given system, at zero interpolation points. Solving this problem yields families of parameterized reduced order models that achieve Markov parameter matching. Finally, we apply these results to the port Hamiltonian case, resulting in families of parameterized reduced order port Hamiltonian approximations. | |||||||||
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Revision 103 Oct 2011 - Main.RachelFogg
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[IA11a] T.Ionescu and A.Astolfi, Moment matching for linear port Hamiltonian systems, Automatica, submitted
AbstractThe problem of moment matching with preservation of port Hamiltonian structure is tackled. Based on the time-domain approach to linear moment matching, we characterize the (subset of) port Hamiltonian models from the set of parameterized models that match the moments of a given port Hamiltonian system, at a set of finite points. We also discuss the problem of finding port Hamiltonian reduced order models that match the Markov parameters of a given port Hamiltonian system.
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