DocumentCode
2469902
Title
The Controlled Center Systems
Author
Hamzi, Boumediene ; Krener, Arthur J.
Author_Institution
Dept. of Math., California Univ., Davis, CA
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
6414
Lastpage
6418
Abstract
In this paper we propose a methodology to stabilize systems with control bifurcations by introducing "the controlled center system". This system is a reduced-order controlled dynamics consisting of the linearly uncontrollable dynamics with the first variable of the linearly controllable dynamics as input. The controller of the full order system is then constructed. We apply this methodology to systems with a transcontrollable, a Hopf, and a double-zero, control bifurcation
Keywords
bifurcation; control systems; dynamics; stability; Hopf control bifurcation; controlled center systems; linearly uncontrollable dynamics; reduced-order controlled dynamics; stabilize systems; Asymptotic stability; Bifurcation; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Feedback; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Reduced order systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.376901
Filename
4177337
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