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Modeling flow statistics using convex optimization
KTH, School of Engineering Sciences (SCI), Mechanics.
2005 (English)In: 2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, Vol. 1-8, 4287-4292 p.Conference paper, Published paper (Refereed)
Abstract [en]

A method is proposed to estimate the covariance of disturbances to a stable linear system when its state covariance is known and a dynamic model is available. This is an issue of fundamental interest for estimation and control of fluid mechanical systems whose dynamics is described by the linearized Navier-Stokes equations. The problem is formulated in terms of a matrix norm minimisation with linear matrix inequality constraint, and solved numerically by means of alternating convex projection. The method is tested on covariance estimation in a low Reynolds number channel flow.

Place, publisher, year, edition, pages
2005. Vol. 1-8, 4287-4292 p.
Series
IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Channel flow; Matrix algebra; Navier Stokes equations; Optimization; Parameter estimation; Problem solving
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-5631DOI: 10.1109/CDC.2005.1582836ISI: 000240653704022Scopus ID: 2-s2.0-33847203990OAI: oai:DiVA.org:kth-5631DiVA: diva2:10060
Conference
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC). Seville, SPAIN. DEC 12-15, 2005
Note
QC 20100830 QC 20111017Available from: 2006-04-27 Created: 2006-04-27 Last updated: 2011-10-17Bibliographically 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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