DocumentCode :
1195941
Title :
On several variable zero sets and application to MIMO robust feedback stabilization
Author :
Fruchter, Gila ; Srebro, Uri ; Zeheb, Ezra
Volume :
34
Issue :
10
fYear :
1987
fDate :
10/1/1987 12:00:00 AM
Firstpage :
1208
Lastpage :
1220
Abstract :
Given a complex-valued function 
which depends on 
real variables 
and 
complex parameters 
, we describe a method of finding the zero set 
of all zeros of in some given set 
in 
when each parameter 
is allowed to vary in some given set 
in the extended complex plane 
. This mathematical tool is applied in the paper to determine the complete space of output (or state) feedback gains, which allows robust stabilization of a linear MIMO system under uncertainty conditions. The system may be continuous or discrete. Also, the stabilization may be "relative," i.e., with safety margins. Design examples are provided.
which depends on real variables and complex parameters , we describe a method of finding the zero set of all zeros of in some given set in when each parameter is allowed to vary in some given set in the extended complex plane . This mathematical tool is applied in the paper to determine the complete space of output (or state) feedback gains, which allows robust stabilization of a linear MIMO system under uncertainty conditions. The system may be continuous or discrete. Also, the stabilization may be "relative," i.e., with safety margins. Design examples are provided.Keywords :
General circuits and systems theory; Multivariable functions; Robustness, linear systems; Stability, linear systems; Equations; MIMO; Output feedback; Robustness; Signal design; Signal processing algorithms; Stability; State feedback; System testing; Uncertainty;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1987.1086056
Filename :
1086056
Link To Document :
