Stability enhancement by boundary control in 2D channel flow. II. Numerical implementation and stability

Author

Balogh, Andras ; Liu, Wei-Jiu ; Krstic, Miroslav

Author_Institution

Dept. of MAE, California Univ., San Diego, La Jolla, CA, USA

Volume

6

fYear

2000

fDate

2000

Firstpage

4259

Abstract

For pt.I see Proceedings of 38th. Conf. on Decision and Control (1999). In that part the authors considered boundary control of a viscous incompressible fluid flow in a 2D channel, and globally stabilized the parabolic equilibrium profile by tangential velocity actuation. This feedback is shown to guarantee global stability in at least H² norm, which implies continuity in space and time of both the flow field and the control. The theoretical results are limited to low values of Reynolds number, however, we present simulations that demonstrate the effectiveness of the proposed feedback for values five order of magnitude higher

Keywords

H^∞ control; boundary layers; boundary-value problems; channel flow; feedback; flow control; flow instability; stability; viscosity; 2D channel flow; H² norm; Reynolds number; boundary control; feedback; global stabilization; guaranteed global stability; numerical implementation; numerical stability; parabolic equilibrium profile; space continuity; stability enhancement; tangential velocity actuation; time continuity; viscous incompressible fluid flow; Feedback; Fluid flow; Fluid flow control; Hydrogen; Kinematics; Mathematics; Numerical stability; Statistics; Velocity control; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.877024

Filename

877024