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Browse Journals & Magazines > Automatic Control, IEEE Trans ...> Volume:38 Issue:9 Help

The robust H2 control problem: a worst-case design

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1 Author(s)
Stoorvogel, A.A. ; Dept. of Math. Comput. Sci., Eindhoven Univ. of Technol., Netherlands

The worst-case effect of a disturbance system on the H 2 norm of the system is analyzed. An explicit expression is given for the worst-case H2 norm when the disturbance system is allowed to vary over all nonlinear, time-varying and possibly noncausal systems with bounded L2-induced operator norm. An upper bound for this measure, which is equal to the worst-case H2 norm if the exogeneous input is scalar, is defined. Some further analysis of this upper bound is done, and a method to design controllers which minimize this upper bound over all robustly stabilizing controllers is given. The latter is done by relating this upper bound to a parameterized version of the auxiliary cost function studied in the literature

Published in:
Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 9 )

Date of Publication: Sep 1993

Page(s):
1358 - 1371
ISSN :
0018-9286
INSPEC Accession Number:
4561550
Digital Object Identifier :
10.1109/9.237647
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
Sep 1993
Sponsored by :
IEEE Control Systems Society

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