DocumentCode :
3784620
Title :
Existence of dominant solutions in linear output feedback
Author :
H. Geering;T. Basar
Author_Institution :
EZH, Zü
Volume :
30
Issue :
8
fYear :
1985
Firstpage :
828
Lastpage :
829
Abstract :
The standard LQ-regulator is known to be a dominant controller in the sense that the optimal cost is minimal for all initial statesx_{0} \in R^{n}. In general, static or dynamic output feedback controllers do not have this dominance property. In this note, it is shown that in the general multivariable case and for the original cost functional, a dynamic output feedback controller using an observer is dominant if, and only if, the observer is perfectly initialized.
Keywords :
"Output feedback","Cost function","State feedback","Optimal control","Covariance matrix","Control systems","Linear feedback control systems","Linear matrix inequalities","Symmetric matrices","Contracts"
Journal_Title :
IEEE Transactions on Automatic Control
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1104033
Filename :
1104033
Link To Document :
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