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Proceedings Paper

Systems theory approach to the control of transitional flows
Author(s): Sanjay S. Joshi; Jason L. Speyer; John Kim
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Paper Abstract

The problem of stabilization of plane Poiseuille flow is considered using techniques employed in control system analysis. The linearized Navier-Stokes equations are converted into control theoretic models using a Galerkin method. It is shown that control theoretic models provide a rich tool for designing control systems to stabilize flow as well as for understanding the physics of controlled transitional flows. Transfer function models provide information of optimal sensor locations and sensor types. State variable models provide information on how each mode, both stable and unstable, is affected by feedback control. State variable models can also provide insight into transitional fluid flow phenomena such as 'bypass' transition. In addition, control theory concepts such as observability and controllability are used to explain possible pitfalls in flow control. Numerical simulations are performed to validate the controllers designed using the control theoretic models.

Paper Details

Date Published: 30 May 1995
PDF: 16 pages
Proc. SPIE 2494, Sensing, Actuation, and Control in Aeropropulsion, (30 May 1995); doi: 10.1117/12.210514
Show Author Affiliations
Sanjay S. Joshi, Univ. of California/Los Angeles (United States)
Jason L. Speyer, Univ. of California/Los Angeles (United States)
John Kim, Univ. of California/Los Angeles (United States)

Published in SPIE Proceedings Vol. 2494:
Sensing, Actuation, and Control in Aeropropulsion
James D. Paduano, Editor(s)

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