DocumentCode
843032
Title
On H∞-optimal sensitivity theory for SISO feedback systems
Author
Francis, Bruce A. ; Zames, George
Author_Institution
University of Waterloo, Waterloo, Ontario, Canada
Volume
29
Issue
1
fYear
1984
fDate
1/1/1984 12:00:00 AM
Firstpage
9
Lastpage
16
Abstract
This paper deals with the design of feedback controllers which minimize the 
-norm of the sensitivity function, suitably weighted. This approach to the theory of feedback design was introduced by Zames [1] and developed by Zames and Francis [2]. In this paper the theory of Sarason [3] is applied to the determination of the optimal weighted sensitivity function and an upper bound on its norm. The problem of achieving small sensitivity over a specified frequency band is studied, and the effect of nonminimum phase is elucidated. Finally, a method is introduced for handling plant poles and zeros on the imaginary axis.
-norm of the sensitivity function, suitably weighted. This approach to the theory of feedback design was introduced by Zames [1] and developed by Zames and Francis [2]. In this paper the theory of Sarason [3] is applied to the determination of the optimal weighted sensitivity function and an upper bound on its norm. The problem of achieving small sensitivity over a specified frequency band is studied, and the effect of nonminimum phase is elucidated. Finally, a method is introduced for handling plant poles and zeros on the imaginary axis.Keywords
H∞ optimization; Sensitivity; Adaptive control; Councils; Eigenvalues and eigenfunctions; Feedback; Frequency response; Interpolation; Poles and zeros; Stability; Transfer functions; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103357
Filename
1103357
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