Quénon, PierreWhidborne, James F.2023-02-022023-02-022023-01-21Quenon 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. 41-51978-3-031-20874-42367-3370https://doi.org/10.1007/978-3-031-20875-1_5https://dspace.lib.cranfield.ac.uk/handle/1826/19101This 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.enflow controlPoiseuille flowKreiss constanttransient energy growthConference paper978-3-031-20875-12367-3389