Title :
Quadratic stabilization of systems with period doubling bifurcation
Author :
Hamzi, Boumediene ; Monaco, Salvatore ; Normand-Cyrot, Dorothee
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
In this paper we study the stabilization of discrete-time controlled dynamics with periodic doubling bifurcation using quadratic normal forms, centre manifold techniques and quadratic feedbacks. The procedure for designing a quadratic controller is also proposed.
Keywords :
bifurcation; control system synthesis; discrete time systems; feedback; nonlinear systems; optimal control; stability; centre manifold techniques; discrete time controlled dynamics; period doubling bifurcation; quadratic controller; quadratic feedbacks; quadratic normal forms; quadratic stabilization; Bifurcation; Control system analysis; Control systems; Difference equations; Linear approximation; Mathematics; Stability; State feedback; Taylor series;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184975
