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Distributed estimation for a class of nonlinear systems with application to Navier‐Stokes flow estimation
Author(s) -
Park Derek,
Guay Martin
Publication year - 2015
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.22090
Subject(s) - nonlinear system , filter (signal processing) , nonlinear filter , computer science , control theory (sociology) , flow (mathematics) , class (philosophy) , point (geometry) , wireless sensor network , mathematical optimization , filter design , mathematics , artificial intelligence , physics , geometry , control (management) , quantum mechanics , computer vision , computer network
This paper presents a distributed estimation for a class of nonlinear systems operating over a sensor network. The paper investigates alternative consensus filters based on a nonlinear filter. This nonlinear filter arises in the design of observers for the estimation of Navier‐Stokes flow based on a proper orthogonal decomposition method. Using point measurements operating over a sensor network, it is shown that the proposed distributed filter can be used to generate a consensus estimate of the overall Navier‐Stokes flow field at each sensor location. A two‐dimensional room case‐study is considered to demonstrate the effectiveness of the proposed approach.