DocumentCode :
847597
Title :
Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty
Author :
Khargonekar, Pramod P. ; Tannenbaum, Allen
Author_Institution :
University of Minnesota, Minneapolis, MN, USA
Volume :
30
Issue :
10
fYear :
1985
fDate :
10/1/1985 12:00:00 AM
Firstpage :
1005
Lastpage :
1013
Abstract :
This paper considers, from a complex function theoretic point of view, certain kinds of robust synthesis problems. In particular, we use a certain kind of metric on the disk (the "hyperbolic" metric) which allows us to reduce the problem of robust stabilization of systems with many types of real and complex parameter variations to an easily solvable problem in non-Euclidian geometry. It is shown that several apparently different problems can be treated in a unified general framework. A new result on the gain margin problem for multivariable plants is also given. Finally, we apply our methods to systems with real zero or pole variations.
Keywords :
Interpolation; Multivariable systems; Robustness, linear systems; Algorithm design and analysis; Control systems; Feedback; Geometry; Interpolation; Mathematics; Poles and zeros; Robustness; Uncertain systems; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1103805
Filename :
1103805
Link To Document :
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