DocumentCode :
845365
Title :
On the stabilization of nonlinear systems
Author :
Anantharam, V. ; Desoer, C.A.
Author_Institution :
University of California, Berkeley, CA, USA
Volume :
29
Issue :
6
fYear :
1984
fDate :
6/1/1984 12:00:00 AM
Firstpage :
569
Lastpage :
572
Abstract :
We extend the applicability of the global Q -parametrization method of controller design to a large class of unstable nonlinear plants. The main result is a two-step compensation theorem analogous to that of Zames for unstable linear plants-if P: L_{e2} \\rightarrow L_{e1} is a nonlinear (possibly unstable) plant and F0is any incrementally stable controller such that P_{1}:=P(I - F_{0}(-P))^{-1} is incrementally stable, then the class of controllers F which yields an f.g. stable closed-loop system in the unity feedback configuration for P is globally parametrized by finite gain stable maps Q: L_{e1} \\rightarrow L_{e2} with F = F_{0} + Q(I - P_{-1}Q)^{-1}
Keywords :
Stability, nonlinear systems; Control systems; Design methodology; Feedback control; Nonlinear dynamical systems; Nonlinear systems; Open loop systems; Output feedback; Robustness; Servomechanisms; Stability;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103584
Filename :
1103584
Link To Document :
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