Minimal Padé Model Reduction for Multivariable Systems

[+] Author and Article Information
Y. Bistritz, U. Shaked

Tel-Aviv University, Tel-Aviv 69978, Israel

J. Dyn. Sys., Meas., Control 106(4), 293-299 (Dec 01, 1984) (7 pages) doi:10.1115/1.3140688 History: Received January 11, 1982; Online July 21, 2009


The approximation of high order linear multivariable systems in the Padé sense is considered. A unified treatment is presented by which various models of minimal order are found which match given sequences of time moments and Markov matrices. The uniqueness of these models is investigated and in cases where there exist more than one minimal model for a given sequence the set of all the distinct models is characterized by a minimal set of independent parameters which can be assigned arbitrary values. The possible instability of Padé reduced models for stable systems is considered and a method is suggested which yields stable models that approximate the high order system, or at least its magnitude, in the Padé sense.

Copyright © 1984 by ASME
Topics: Approximation
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