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


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