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2023 | OriginalPaper | Chapter

Control of Plane Poiseuille Flow Using the Kreiss Constant

Authors : Pierre Quénon, James F. Whidborne

Published in: Cyber-Physical Systems and Control II

Publisher: Springer International Publishing

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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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Title: Control of Plane Poiseuille Flow Using the Kreiss Constant
Authors: Pierre Quénon
James F. Whidborne
Publisher: Springer International Publishing
Book: Cyber-Physical Systems and Control II
Print ISBN: 978-3-031-20874-4

Electronic ISBN: 978-3-031-20875-1

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-3-031-20875-1_5

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