DocumentCode :
853916
Title :
Robust stabilization relative to the unweighted H∞norm is generically unattainable in the presence of singular plant perturbations
Author :
Cobb, J.Daniel
Author_Institution :
University of Wisconsin-Madison, Madison, WI, USA
Volume :
32
Issue :
1
fYear :
1987
fDate :
1/1/1987 12:00:00 AM
Firstpage :
51
Lastpage :
53
Abstract :
Recent work by Vidyasagar gives a sufficient condition under which a singularly perturbed system can be robustly stabilized relative to the unweighted 
norm. In this note we show that the same condition is also necessary. In addition, we prove that this condition is generically untrue with respect to the class of all linear singularly perturbed systems, as well as the class of all singular perturbations of any fixed, stabilizable, and detectable system.
norm. In this note we show that the same condition is also necessary. In addition, we prove that this condition is generically untrue with respect to the class of all linear singularly perturbed systems, as well as the class of all singular perturbations of any fixed, stabilizable, and detectable system.Keywords :
Optimization methods; Robustness, linear systems; Singularly perturbed systems, linear; Bismuth; Feedback; Gold; Poles and zeros; Robustness; Sufficient conditions; System performance; Topology;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1987.1104438
Filename :
1104438
Link To Document :
