A unifying theory of least‐squares Padé model reduction methods

I. D. Smith, T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.
    Original languageEnglish
    Pages (from-to)95-102
    JournalProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
    Issue number2
    Publication statusPublished - 1 May 1996


    • Control engineering
    • Model reduction
    • Least‐squares approximation
    • Padé method


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