Title :
Controlling bifurcating dynamics via chaotification
Author :
Wang, Xiao Fan ; Chen, Guanrong
Author_Institution :
Dept. of Mech. Eng., Bristol Univ., UK
Abstract :
This paper proposes a methodology for stabilization of nonlinear discrete-time systems exhibiting bifurcation phenomena under input constraints. The new stabilizing control law is a combination of a bounded feedback chaotification law and a bounded local stabilization law. The proposed control scheme is applied to the control of pathological rhythm in a cardiac model that undergoes a period-doubling bifurcation into alternans
Keywords :
bifurcation; chaos; discrete time systems; feedback; nonlinear control systems; stability; alternans; bifurcating dynamics control; bounded feedback chaos law; bounded feedback chaotification law; cardiac model; nonlinear discrete-time systems; pathological rhythm control; period-doubling bifurcation; stabilization; Bifurcation; Chaos; Control systems; Frequency domain analysis; Linear feedback control systems; Mechanical engineering; Open loop systems; Pathology; Rhythm;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980186
