An LPV gain scheduling approach to transition control in plane Poiseuille flow

Publikationstyp
Conference Paper
Date Issued
2009
Sprache
English
Author(s)
Ali, Mukhtar  
Chughtai, Saulat S.  
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/14817
Start Page
2033
End Page
2038
Article Number
7074703
Citation
10 th European Control Conference (ECC), 2009: 7074703, 2033-2038 (2009)
Contribution to Conference
10th European Control Conference, ECC 2009  
Publisher DOI
10.23919/ecc.2009.7074703
Scopus ID
2-s2.0-84955212885
Publisher
IEEE
This paper presents the synthesis of a gain scheduled controller - parameterized by the Reynolds number - for transition control in plane Poiseuille flow. In a real system, the Reynolds number is time-varying - it changes with the speed of flow. The problem considered here is to prevent the transition from laminar to turbulent flow at the very onset of turbulence, when the velocity of flow is changing with time. For this problem a gain scheduled controller, parameterized by the Reynolds number, is proposed. A linear parameter-varying (LPV) model of plane Poiseuille flow parameterized by the time-varying Reynolds number is first obtained, which is used to synthesize a gain scheduled control law. Simulation results show that this control scheme can to a significant degree reject disturbances with time-varying Reynolds number.