Title :
Nonlinear recursive chaos control
Author :
Harb, Ahmed ; Zaher, Ashraf ; Zohdy, Mohammed
Author_Institution :
EE Dept., Jordan Univ. of Sci. & Technol., Jordan
Abstract :
A nonlinear recursive chaos and bifurcation control approach, based on a backstepping technique, is presented to control bifurcation and chaos in engineering applications. Modern nonlinear system theory in bifurcation and chaos is used to study the dynamics of a 3rd order nonlinear system. The study considers the system when experiencing bifurcation and chaos state. In order to control it, a recursive backstepping controller is designed. We show how such a controller is effective in controlling the unstable bifurcation region.
Keywords :
bifurcation; chaos; control system synthesis; differential equations; nonlinear control systems; backstepping technique; bifurcation control; dynamics; nonlinear recursive chaos control; nonlinear system theory; third order system; unstable bifurcation region; Backstepping; Bifurcation; Chaos; Computer science; Mathematical model; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Parameter estimation; Power system dynamics;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023974
