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
Link To Document :
