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
Link To Document :
