Model reduction via balanced realizations: an extension andfrequency weighting techniques

Two model-reduction methods for discrete systems related to balanced realizations are described. The first is a technique which utilizes the least controllable and observable subsystem in deriving a balanced discrete reduced-order model. For this technique as L ∞ norm bound on the reductio...

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Bibliographic Details
Main Author: Al-Saggaf, U.M. (author)
Other Authors: Franklin, G.F. (author), unknown (author)
Format: article
Published: 1988
Subjects:
Online Access:https://eprints.kfupm.edu.sa/id/eprint/14253/1/14253_1.pdf
https://eprints.kfupm.edu.sa/id/eprint/14253/2/14253_2.doc
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Summary:Two model-reduction methods for discrete systems related to balanced realizations are described. The first is a technique which utilizes the least controllable and observable subsystem in deriving a balanced discrete reduced-order model. For this technique as L ∞ norm bound on the reduction error is given. The second method is a frequency-weighting technique for discrete- and continuous-time systems where the input-normal or output-normal realizations are modified to include a simple frequency weighting. For this technique, L∞ norm bounds on the weighted reduction errors are obtained