Discrete-time least-squares Padé order reduction: a stability preserving method

T. Nigel Lucas, I. D. Smith

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)


    A new stability preservation property is proved for the least-squares Padé order reduction method when applied to discrete-time systems. It is shown that the property depends on which free reduced model parameter is chosen to be unity. Clarification is also given on how the system is actually approximated using this method. An example illustrates the enhanced appeal of the method as a result of the stability preservation property.
    Original languageEnglish
    Pages (from-to)49-56
    Number of pages8
    JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
    Issue number1
    Publication statusPublished - Feb 1998


    • Padé approximation
    • Order reduction
    • Least-squares methods
    • Discrete-time systems


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