Least-squares model order reduction enhancements

Author

Lalonde, Rick J. ; Hartley, Tom T. ; de Abreu-Garcia, J.A.

Author_Institution

Analex Corp., Brook Park, OH, USA

Volume

40

Issue

6

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

533

Lastpage

541

Abstract

Two enhancements to the least-squares (LS) discrete-time model order reduction (MOR) method are presented: scaling and frequency response matching. Scaling generally improves the low-frequency fit between the reduced-order model (ROM) and the original model. For exact gains at specific frequencies, optional frequency response constraints can easily be added to the LS MOR method. An example is presented that illustrates these enhancements. The example model is reduced with the Hankel norm, weighted impulse response gramian, and LS MOR methods. Plots of error versus frequency are given for each of the three MOR methods

Keywords

control system synthesis; frequency response; least squares approximations; control engineering; controller design; discrete-time model order reduction; frequency response matching; least squares model; weighted impulse response gramian; Computational modeling; Continuous time systems; Design engineering; Equations; Frequency response; Microprocessors; Read only memory; Reduced order systems; Senior members; Transfer functions;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/41.245890

Filename

245890