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30 May 1995 Systems theory approach to the control of transitional flows
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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.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Sanjay S. Joshi, Jason L. Speyer, and John Kim "Systems theory approach to the control of transitional flows", Proc. SPIE 2494, Sensing, Actuation, and Control in Aeropropulsion, (30 May 1995); https://doi.org/10.1117/12.210514
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