Constrained Optimal Padé Model Reduction

[+] Author and Article Information
T. N. Lucas

Division of Mathematical Sciences, University of Abertay Dundee, Dundee DD1 1HG, United Kingdom

J. Dyn. Sys., Meas., Control 119(4), 685-690 (Dec 01, 1997) (6 pages) doi:10.1115/1.2802378 History: Received October 02, 1995; Online December 03, 2007


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.

Copyright © 1997 by The American Society of Mechanical Engineers
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