Arctic Sea Ice State Estimation From Thermodynamic PDE Model

Recent rapid loss of the Arctic sea ice motivates the study of the Arctic sea ice thickness. Global climate model that describes the ice's thickness evolution requires an accurate spatial temperature profile of the Arctic sea ice. However, measuring the complete temperature profile is not feasi...

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Bibliographic Details
Main Authors: Koga, Shumon, Krstic, Miroslav
Format: Report
Language:unknown
Published: arXiv 2019
Subjects:
Optimization and Control math.OC
FOS Mathematics
Arctic
Sea ice
Online Access:https://dx.doi.org/10.48550/arxiv.1901.10678
https://arxiv.org/abs/1901.10678
id ftdatacite:10.48550/arxiv.1901.10678
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1901.10678 2023-05-15T14:34:36+02:00 Arctic Sea Ice State Estimation From Thermodynamic PDE Model Koga, Shumon Krstic, Miroslav 2019 https://dx.doi.org/10.48550/arxiv.1901.10678 https://arxiv.org/abs/1901.10678 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Optimization and Control math.OC FOS Mathematics Preprint Article article CreativeWork 2019 ftdatacite https://doi.org/10.48550/arxiv.1901.10678 2022-04-01T08:50:40Z Recent rapid loss of the Arctic sea ice motivates the study of the Arctic sea ice thickness. Global climate model that describes the ice's thickness evolution requires an accurate spatial temperature profile of the Arctic sea ice. However, measuring the complete temperature profile is not feasible within and throughout the Arctic icecap. Instead, measuring the ice's thickness is doable with the acquisition of data from submarine and satellite devices. In this paper, we develop a backstepping observer algorithm to estimate the temperature profile for the Arctic sea ice model via available measurements of sea ice thickness and sea ice surface temperature. The observer is designed in a rigorous manner to drive the temperature profile estimation error to zero, for a salinity-free sea ice model. Moreover, the proposed observer is used to estimate the temperature profile of the original sea ice model with salinity via numerical simulation. In comparison with the straightforward open-loop algorithm, the simulation results illustrate that our observer design achieves ten times faster convergence of the estimated temperature. : 11 pages, 11 figures Report Arctic Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Optimization and Control math.OC
FOS Mathematics
spellingShingle Optimization and Control math.OC
FOS Mathematics
Koga, Shumon
Krstic, Miroslav
Arctic Sea Ice State Estimation From Thermodynamic PDE Model
topic_facet Optimization and Control math.OC
FOS Mathematics
description Recent rapid loss of the Arctic sea ice motivates the study of the Arctic sea ice thickness. Global climate model that describes the ice's thickness evolution requires an accurate spatial temperature profile of the Arctic sea ice. However, measuring the complete temperature profile is not feasible within and throughout the Arctic icecap. Instead, measuring the ice's thickness is doable with the acquisition of data from submarine and satellite devices. In this paper, we develop a backstepping observer algorithm to estimate the temperature profile for the Arctic sea ice model via available measurements of sea ice thickness and sea ice surface temperature. The observer is designed in a rigorous manner to drive the temperature profile estimation error to zero, for a salinity-free sea ice model. Moreover, the proposed observer is used to estimate the temperature profile of the original sea ice model with salinity via numerical simulation. In comparison with the straightforward open-loop algorithm, the simulation results illustrate that our observer design achieves ten times faster convergence of the estimated temperature. : 11 pages, 11 figures
format Report
author Koga, Shumon
Krstic, Miroslav
author_facet Koga, Shumon
Krstic, Miroslav
author_sort Koga, Shumon
title Arctic Sea Ice State Estimation From Thermodynamic PDE Model
title_short Arctic Sea Ice State Estimation From Thermodynamic PDE Model
title_full Arctic Sea Ice State Estimation From Thermodynamic PDE Model
title_fullStr Arctic Sea Ice State Estimation From Thermodynamic PDE Model
title_full_unstemmed Arctic Sea Ice State Estimation From Thermodynamic PDE Model
title_sort arctic sea ice state estimation from thermodynamic pde model
publisher arXiv
publishDate 2019
url https://dx.doi.org/10.48550/arxiv.1901.10678
https://arxiv.org/abs/1901.10678
geographic Arctic
geographic_facet Arctic
genre Arctic
Sea ice
genre_facet Arctic
Sea ice
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1901.10678
_version_ 1766307616221298688

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