DocumentCode :
836162
Title :
Riccati equation computation af supremal (F,G)-Invariant and reachability subspaces
Author :
Lewis, F.
Author_Institution :
Georgia Institute of Technology, Atlanta, GA, USA
Volume :
26
Issue :
3
fYear :
1981
fDate :
6/1/1981 12:00:00 AM
Firstpage :
725
Lastpage :
728
Abstract :
We consider two Riccati equations, and associate with each Riccati equation three recursions for generating subspace sequences. It is shown that, with appropriate choice of parameters and initial conditions, several of these recursions generate suhspace sequences which are important in system theory. Particular examples are the supremal unobservable suhspace, the supremal teachability subspace, and the smallest reachable subspace obtained by output injection. The recursions may be implemented by solving the associated Riccati equations, and thus we are able to derive methods for computing the above-mentioned subspaces. In addition, we derive a feedback which makes a system maximally unobservable, and also present nonrecursive expressions for the supremal unobservable subspace and for the subspace of k -predictable directions.
Keywords :
Algebraic Riccati equation (ARE); Control systems; Riccati equations, algebraic; Automatic control; Computer science; Discrete transforms; Feedback; Iterative algorithms; Linear systems; Riccati equations; Simultaneous localization and mapping;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1981.1102701
Filename :
1102701
Link To Document :
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