DocumentCode
843346
Title
H∞-optimal feedback controllers for linear multivariable systems
Author
Francis, Bruce A. ; Helton, William J. ; Zames, George
Author_Institution
University of Toronto, Toronto, Ontario, Canada
Volume
29
Issue
10
fYear
1984
fDate
10/1/1984 12:00:00 AM
Firstpage
888
Lastpage
900
Abstract
This paper treats the problem of designing, for a linear multivariable plant, a feedback controller which minimizes the 
-norm of a weighted sensitivity matrix. There exists a family of optimal improper feedbacks. This family is determined by application of a theory of Ball and Helton. A method for computing optimal feedbacks is described in detail and a numerical example is included. It is shown that an optimal improper feedback can be approximated by a proper one under certain conditions on the weighting matrices.
-norm of a weighted sensitivity matrix. There exists a family of optimal improper feedbacks. This family is determined by application of a theory of Ball and Helton. A method for computing optimal feedbacks is described in detail and a numerical example is included. It is shown that an optimal improper feedback can be approximated by a proper one under certain conditions on the weighting matrices.Keywords
H∞ optimization; Multivariable systems; Sensitivity, linear systems; Adaptive control; Control systems; Councils; Feedback; Filters; MIMO; Minimax techniques; Stability; Stochastic resonance; White noise;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103387
Filename
1103387
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