Imperial College London
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DrGiordanoScarciotti

Faculty of Engineering, Department of Electrical and Electronic Engineering

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 6268g.scarciotti Website

 
 
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Location

 

1118Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Shakib:2023:10.1016/j.automatica.2023.110935,
author = {Shakib, MF and Scarciotti, G and Pogromsky, AY and Pavlov, A and van, de Wouw N},
doi = {10.1016/j.automatica.2023.110935},
journal = {Automatica},
pages = {1--8},
title = {Time-domain moment matching for multiple-input multiple-output linear time-invariant models},
url = {http://dx.doi.org/10.1016/j.automatica.2023.110935},
volume = {152},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Model reduction by moment matching for linear time-invariant (LTI) models is a reduction technique that has a clear interpretation in the Laplace domain. In particular, for the multiple-input multiple-output (MIMO) LTI case, Krylov subspace methods aim at matching the transfer-function matrix (and possibly its derivatives) of the reduced-order model to the transfer-function matrix of the full-order model along so-called tangential directions at desired interpolation points. A straightforward application of time-domain moment matching to MIMO LTI models does not result in such a match in the transfer-function matrix. In this paper, we derive a relation between the MIMO transfer-function matrices of the full- and the reduced-order models that follows from the application of time-domain moment matching on MIMO LTI models. This is subsequently exploited to formulate conditions on the parameters of time-domain moment matching under which the transfer-function matrix is matched along tangential directions, thus ensuring consistency with classical Krylov subspace methods.
AU  - Shakib,MF
AU  - Scarciotti,G
AU  - Pogromsky,AY
AU  - Pavlov,A
AU  - van,de Wouw N
DO  - 10.1016/j.automatica.2023.110935
EP  - 8
PY  - 2023///
SN  - 0005-1098
SP  - 1
TI  - Time-domain moment matching for multiple-input multiple-output linear time-invariant models
T2  - Automatica
UR  - http://dx.doi.org/10.1016/j.automatica.2023.110935
UR  - https://www.sciencedirect.com/science/article/pii/S0005109823000857
UR  - http://hdl.handle.net/10044/1/102687
VL  - 152
ER  -
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