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Browse Journals & Magazines > Automatic Control, IEEE Trans ...> Volume:56 Issue:7 Help

An Efficient Algorithm for Computing the {cal H}_{\infty } Norm

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2 Author(s)
Belur, M.N. ; Dept. of Electr. Eng., Indian Inst. of Technol. Bombay, Mumbai, India ; Praagman, C.

This technical note addresses the computation of the H∞ norm by directly computing the isolated common zeros of two bivariate polynomials, unlike the iteration algorithm that is currently used to find the H∞ norm. The proposed method to H∞ norm calculation is compared with the existing method [by Bruinsma and Steinbuch (1990)] using numerical experiments on random transfer functions of orders upto 240; the time taken is better by 15 to 30 times, in addition to improved accuracy. The proposed method uses techniques involving structured linearization of the Bezoutian matrix constructed from two bivariate polynomials.

Published in:
Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 7 )

Date of Publication: July 2011

Page(s):
1656 - 1660
ISSN :
0018-9286
INSPEC Accession Number:
12141628
Digital Object Identifier :
10.1109/TAC.2011.2122750
Product Type:
Journals & Magazines
Date of Publication :
03 March 2011
Date of Current Version :
04 July 2011
Issue Date :
July 2011
Sponsored by :
IEEE Control Systems Society

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