DocumentCode :
845248
Title :
Algebraic theory for robust stability of interconnected systems: Necessary and sufficient conditions
Author :
Chen, Ming-jeh ; Desoer, Charles A.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
29
Issue :
6
fYear :
1984
fDate :
6/1/1984 12:00:00 AM
Firstpage :
511
Lastpage :
519
Abstract :
We consider an interconnected system So made of linear mulrivariable subsystems which are specified by matrix fractions with elements in a ring of stable scalar transfer functions 
. Given that the 
th subsystem is perturbed from 
to 
and that the system So is -stable, we derive a computationally efficient necessary and sufficient condition for the -stability, of the perturbed system. These fractional perturbations are more general than the conventional additive and multiplicative perturbations. The result is generalized to handle simultaneous perturbations of two or more subsystems.
. Given that the th subsystem is perturbed from to and that the system S -stable, we derive a computationally efficient necessary and sufficient condition for the -stability, of the perturbed system. These fractional perturbations are more general than the conventional additive and multiplicative perturbations. The result is generalized to handle simultaneous perturbations of two or more subsystems.Keywords :
Interconnected systems, linear; Multivariable systems; Robustness, linear systems; Control systems; Design methodology; Feedback; Interconnected systems; Military computing; Robust control; Robust stability; Sufficient conditions; Topology; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103572
Filename :
1103572
Link To Document :
