Control of plane Poiseuille flow using the Kreiss constant
Date published
2023-01-21
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Publisher
Springer
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Type
Conference paper
ISSN
2367-3370
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Citation
Quenon P, Whidborne JF. (2023) Control of plane Poiseuille flow using the Kreiss constant. In: 2nd International Conference on Cyber-Physical Systems and Control CPS&C, 29 June - 2 July 2021, St. Petersburg, Russia, Volume 460, Lecture Notes in Networks and Systems, Springer, Cham, pp. 41-51
Abstract
This paper examines the effectiveness of a recent method based on Kreiss’s constant minimization for designing output-feedback compensators to control instabilities in a laminar plane Poiseuille flow. The flow dynamics are highly non-normal, subsequently, small disturbances may be substantially amplified and reach large transient values that induce nonlinearities and lead to turbulence, even though such perturbations should eventually decay in a linear flow model. The maximum transient energy growth and the Kreiss constant both convey information regarding this transient behavior. A Kreiss-constant-minimizing controller is obtained and its effectiveness for the plane Poiseuille flow control problem is demonstrated.
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Github
Keywords
flow control, Poiseuille flow, Kreiss constant, transient energy growth