Modeling flow statistics using convex optimization
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 (Refereed)
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.
, IEEE Conference on Decision and Control, ISSN 0191-2216
Channel flow; Matrix algebra; Navier Stokes equations; Optimization; Parameter estimation; Problem solving
Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:kth:diva-5631DOI: 10.1109/CDC.2005.1582836ISI: 000240653704022ScopusID: 2-s2.0-33847203990OAI: oai:DiVA.org:kth-5631DiVA: diva2:10060
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC). Seville, SPAIN. DEC 12-15, 2005
QC 20100830 QC 201110172006-04-272006-04-272011-10-17Bibliographically approved