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State estimation in wall-bounded flow systems: P. I Laminar flows
KTH, School of Engineering Sciences (SCI), Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0002-3794-1643
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0001-7864-3071
2005 (English)In: Journal of fluid mechanics, ISSN 0022-1120, Vol. 534, 263-394 p.Article in journal (Refereed) Published
Abstract [en]

In applications involving the model-based control of transitional wall-bounded flow systems, it is often desired to estimate the interior flow state based on a history of noisy measurements from an array of flush-mounted skin-friction and pressure sensors on the wall. This paper considers this estimation problem, using a Kalman filter based on the linearized Navier-Stokes equations and appropriate stochastic models for the relevant statistics of the initial conditions, sensor noise and external disturbances acting on the system. We show that a physically relevant parameterization of these statistics is key to obtaining well-resolved feedback kernels with appropriate spatial extent for all three types of flow measurement available on the wall. The effectiveness of the resulting Kalman and extended Kalman filters that implement this feedback is verified for both infinitesimal and finite-amplitude disturbances in direct numerical simulations of a perturbed laminar channel flow. The consideration of time-varying feedback kernels is shown to be particularly advantageous in accelerating the convergencc of the estimator from unknown initial conditions. A companion paper (Part 2) considers the extension of such estimators to the case of fully developed turbulence.

Place, publisher, year, edition, pages
2005. Vol. 534, 263-394 p.
Keyword [en]
shear flows, transition
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-5626DOI: 10.1017/S0022112005004210ISI: 000230698800012Scopus ID: 2-s2.0-22244471082OAI: oai:DiVA.org:kth-5626DiVA: diva2:10055
Note
QC 20100830Available from: 2006-04-27 Created: 2006-04-27 Last updated: 2010-12-06Bibliographically approved
In thesis
1. Stability and control of shear flows subject to stochastic excitations
Open this publication in new window or tab >>Stability and control of shear flows subject to stochastic excitations
2006 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

In this thesis, we adapt and apply methods from linear control theory to shear flows. The challenge of this task is to build a linear dynamic system that models the evolution of the flow, using the Navier--Stokes equations, then to define sensors and actuators, that can sense the flow state and affect its evolution. We consider flows exposed to stochastic excitations. This framework allows to account for complex sources of excitations, often present in engineering applications. Once the system is built, including dynamic model, sensors, actuators, and sources of excitations, we can use standard optimization techniques to derive a feedback law. We have used feedback control to stabilize unstable flows, and to reduce the energy level of sensitive flows subject to external excitations.

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. 86 p.
Series
Trita-MEK, ISSN 0348-467X ; 2006:08
Keyword
control, estimation, stochastic excitations, feedback, model reduction
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-3929 (URN)
Public defence
2006-05-05, Sal F3, Lindstedtsvägen 26, Stockholm, 10:15
Opponent
Supervisors
Note
QC 20100830Available from: 2006-04-27 Created: 2006-04-27 Last updated: 2011-12-16Bibliographically approved

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Chevalier, MattiasHenningson, Dan S.

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