Title :
The Controlled Center Systems
Author :
Hamzi, Boumediene ; Krener, Arthur J.
Author_Institution :
Dept. of Math., California Univ., Davis, CA
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376901
