Global observer design for Navier-Stokes equations in 2D

Mykhaylo Zayats, Emilia Fridman, Sergiy Zhuk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider Navier-Stokes equations on a rectangle with periodic boundary conditions, and known input. Given continuous measurements as averages of NSE' solution over a set of squares we design a globally converging observer for NSE by relying upon Lyapunov method: we propose a parametric LMI for determining observer's gain and size of squares, required for the global convergence. We illustrate the numerical efficacy of our algorithm by applying it to estimate states of NSE with Kolmogorov forcing.

Original languageEnglish
Title of host publication60th IEEE Conference on Decision and Control, CDC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1862-1867
Number of pages6
ISBN (Electronic)9781665436595
DOIs
StatePublished - 2021
Event60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States
Duration: 13 Dec 202117 Dec 2021

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2021-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference60th IEEE Conference on Decision and Control, CDC 2021
Country/TerritoryUnited States
CityAustin
Period13/12/2117/12/21

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