Title :
Anti-control of Hopf bifurcations through washout filters
Author :
Chen, Dong ; Wang, Hua O. ; Chen, Guanrong
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
Abstract :
Bifurcation control generally means to design a controller that can modify the bifurcation characteristics of a bifurcating nonlinear system, thereby achieving some desirable dynamical behaviors. A typical objective is delay and/or stabilization of a given bifurcation. In this paper, we consider the problem of anti-control of bifurcations, that is, a certain bifurcation is created with desired location and properties by appropriate controls. In particular, washout filter-aided dynamic feedback control laws are given for the creation of Hopf bifurcations. As Hopf bifurcations give rise to limit cycles, anti-control of Hopf bifurcations can be viewed as one approach to design limit cycles and nonlinear oscillations into a system via feedback control when such dynamical behaviors are desirable
Keywords :
bifurcation; feedback; filtering theory; limit cycles; nonlinear dynamical systems; Hopf bifurcations; anti-control; bifurcating nonlinear system; dynamic feedback control; limit cycles; nonlinear oscillations; washout filters; Bifurcation; Chaos; Control systems; Design engineering; Feedback control; Filters; Limit-cycles; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757961