A control problem for fluid flow

Author

Kang, Sungkwon ; Ito, Kazufumi

Author_Institution

Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA

fYear

1992

fDate

1992

Firstpage

3393

Abstract

The dissipative feedback control law developed by the authors in `A dissipative feedback control synthesis for systems arising in fluid dynamics.´ SIAM, J. Control and Optim., 1990, is applied to the Burgers equation and the two-dimensional Navier-Stokes equations. The control law is designed for driving a given fluid flow to a desired equilibrium state and enhancing energy dissipation effects of the given dynamics. These applications support the validation of the proposed control law in the previous article, not only for achievement of the desired asymptotic behavior, but also for changes in global nature of the transient behavior of the controlled dynamics that are not easily characterized analytically

Keywords

Navier-Stokes equations; feedback; flow control; Burgers equation; control synthesis; dissipative feedback control law; energy dissipation effects enhancement; equilibrium state; fluid dynamics; fluid flow; transient behavior; two-dimensional Navier-Stokes equations; Control system synthesis; Control systems; Energy dissipation; Feedback control; Fluid dynamics; Fluid flow; Fluid flow control; Mathematics; Navier-Stokes equations; Nonlinear equations; Open loop systems; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371008

Filename

371008