Stabilization of a Ginzburg-Landau model of vortex shedding by output feedback boundary control

Author

Aamo, Ole Morten ; Smyshlyaev, Andrey ; Krstic, Miroslav ; Foss, Bjarne A.

Author_Institution

Dept. of Eng. Cybern., NTNU, Trondheim, Norway

Volume

3

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

2409

Abstract

In this paper we design exponentially convergent observers for a Ginzburg-Landau model of vortex shedding in viscous flow past a bluff body. Measurements are restricted to be taken at one point mid-stream or collocated with the actuation which is applied on the cylinder surface. The observers are used in conjuction with state feedback boundary controllers designed in previous work to yield solutions to the output feedback boundary control problem for attenuating vortex shedding. Simulations are provided to demonstrate the performance of the output feedback scheme.

Keywords

Ginzburg-Landau theory; distributed parameter systems; flow control; observers; plastic flow; stability; state feedback; vortices; Ginzburg-Landau model stabilization; bluff body; exponentially convergent observers; output feedback boundary control; output feedback boundary control problem; state feedback boundary controllers; viscous flow; vortex shedding; Actuators; Aerodynamics; Engine cylinders; Laboratories; Navier-Stokes equations; Output feedback; Partial differential equations; Pressure control; State feedback; Velocity control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428766

Filename

1428766