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    On the Approximation of Moments for Nonlinear Systems


    Faedo, Nicolas and Scarciotti, Giordano and Astolfi, Alessandro and Ringwood, John (2021) On the Approximation of Moments for Nonlinear Systems. IEEE Transactions on Automatic Control, 66 (11). pp. 5538-5545. ISSN 0018-9286

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    Abstract

    Model reduction by moment-matching relies upon the availability of the so-called moment. If the system is nonlinear, the computation of moments depends on an underlying specific invariance equation, which can be difficult or impossible to solve. This article presents four technical contributions related to the theory of moment matching: first, we identify a connection between moment-based theory and weighted residual methods. Second, we exploit this relation to provide an approximation technique for the computation of nonlinear moments. Third, we extend the defini- tion of nonlinear moment to the case in which the generator is described in explicit form. Finally, we provide an approximation technique to compute the moments in this scenario. The results are illustrated by means of two examples.

    Item Type: Article
    Keywords: Moment matching; moments; nonlinear systems; steady state; weighted residual methods;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Faculty of Science and Engineering > Research Institutes > Centre for Ocean Energy Research
    Item ID: 16106
    Identification Number: https://doi.org/10.1109/TAC.2021.3054325
    Depositing User: Professor John Ringwood
    Date Deposited: 16 Jun 2022 10:08
    Journal or Publication Title: IEEE Transactions on Automatic Control
    Publisher: Institute of Electrical and Electronics Engineers
    Refereed: Yes
    URI:

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