Dynamic feedback control of bifurcations

Author

Wang, Hua O. ; Chen, Dong S. ; Bushnell, Linda G.

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

Volume

2

fYear

2000

fDate

2000

Firstpage

1619

Abstract

Bifurcation control deals with the modification of the bifurcation characteristics of a parameterized nonlinear system by a judiciously designed control input. We consider the problem of dynamic feedback control of bifurcations. In particular, previous results on the control of bifurcations using washout filters are extended to some general forms of dynamic feedback controllers. It is shown that high-pass filters such as washout filters can be represented by a special form of dynamic feedback controller. The control effect on bifurcations can be readily assessed by analytical formulae. These dynamic feedback controllers offer more flexibility over the original controller in bifurcation control. The results are viable for the design and analysis of nonlinear control systems involving bifurcations

Keywords

bifurcation; continuous time systems; control system analysis; control system synthesis; discrete time systems; feedback; high-pass filters; multidimensional systems; nonlinear control systems; stability; dynamic feedback control; parameterized nonlinear system; washout filters; Adaptive control; Bifurcation; Control systems; Feedback control; Filters; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Open loop systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.912093

Filename

912093