DocumentCode
1089864
Title
Linear and nonlinear algorithms for identification in H ∞ with error bounds
Author
Gu, Guoxiang ; Khargonekar, Pramod P.
Author_Institution
Dept. of Electr. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Volume
37
Issue
7
fYear
1992
fDate
7/1/1992 12:00:00 AM
Firstpage
953
Lastpage
963
Abstract
A linear algorithm and a nonlinear algorithm for the problem of system identification in H ∞ posed by Helmicki et al. (1990) for discrete-time systems are presented. The authors derive some error bounds for the linear algorithm which indicate that it is not robustly convergent. However, the worst-case identification error is shown to grow as log(n ), where n is the model order. A robustly convergent nonlinear algorithm is derived, and bounds on the worst-case identification error (in the H ∞ norm) are obtained
Keywords
convergence; discrete time systems; identification; H∞; discrete-time systems; error bounds; linear algorithm; nonlinear algorithms; robust convergence; worst-case identification error; Approximation algorithms; Convergence; Discrete Fourier transforms; Frequency measurement; Frequency response; H infinity control; Jacobian matrices; Linear systems; Robustness; System identification;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.148347
Filename
148347
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