Bifurcation control of Rayleigh-Benard convection

Author

Chen, Dong ; Wang, Hua O. ; Howle, Burens E.

Author_Institution

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

Volume

1

fYear

1999

fDate

1999

Firstpage

377

Abstract

Bifurcation control deals with the modification of the bifurcation characteristics of a parametrized nonlinear system by a judiciously designed control input. In this paper, we investigate the problem of active control of Rayleigh-Benard convection (RBC) via a bifurcation control approach. Active control of Rayleigh-Benard convection is a problem of importance to both theoretical research and industrial applications. Several forms of bifurcation control laws are designed based on the mathematical analysis of the governing partial differential equations for RBC. Simulations as well as experimental studies have been carried out to validate the control designs. A composite bifurcation control law combining a linear control law and a cubic control law is found to be most effective and flexible for this problem

Keywords

Benard convection; bifurcation; fluid mechanics; limit cycles; multidimensional systems; nonlinear systems; partial differential equations; Rayleigh-Benard convection; active control; bifurcation control; finite dimensional systems; fluid control; fluid mechanics; limit cycles; nonlinear system; partial differential equations; Bifurcation; Chaos; Control systems; Delay; Electrical equipment industry; Industrial control; Limit-cycles; Mathematical analysis; Nonlinear control systems; Nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 1999. Proceedings of the 1999 IEEE International Conference on

Conference_Location

Kohala Coast, HI

Print_ISBN

0-7803-5446-X

Type

conf

DOI

10.1109/CCA.1999.806663

Filename

806663