Constrained optimal Padé model reduction

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    A frequency-domain multipoint Padé approximation method is given that produces optimal reduced order models, in the least integral square error sense, which are constrained to match the initial time response values of the full and reduced systems for impulse or step inputs. It is seen to overcome a perceived drawback of the unconstrained optimal models, i.e., that they do not guarantee a proper rational reduced order transfer function for a step input. The method is easy to implement when compared to existing constrained optimal methods, and consists of solving only linear sets of equations in an iterative process. It is also seen to be a natural extension of an existing optimal method. Numerical examples are given to illustrate its application.
    Original languageEnglish
    Pages (from-to)685-690
    Number of pages6
    JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
    Issue number4
    Publication statusPublished - 1 Dec 1997


    • Padé approximant


    Dive into the research topics of 'Constrained optimal Padé model reduction'. Together they form a unique fingerprint.

    Cite this