A Robust Asymptotic Observer for Systems That Converge to Unobservable States-A Batch Reactor Case Study
In this paper, we propose an observer for a dynamical system for which the states on the frontier of its domain are not observable, and all trajectories converge to the frontier. The proposed case study, a bioreactor in batch operating conditions with a single microbial reaction and gas production,...
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Veröffentlicht in: | IEEE transactions on automatic control 2020-06, Vol.65 (6), p.2693-2699 |
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description | In this paper, we propose an observer for a dynamical system for which the states on the frontier of its domain are not observable, and all trajectories converge to the frontier. The proposed case study, a bioreactor in batch operating conditions with a single microbial reaction and gas production, is standard and largely encountered in practical situations. We also show how to extend this observer to obtain an observer in higher dimension that is robust with respect to unbiased noise. |
doi_str_mv | 10.1109/TAC.2019.2940870 |
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(IEEE) 2020</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c367t-af114bc508a05bceaf1dcd4cda43bd8e2f7bd44e7528df1f9f7e16c9b87531023</citedby><cites>FETCH-LOGICAL-c367t-af114bc508a05bceaf1dcd4cda43bd8e2f7bd44e7528df1f9f7e16c9b87531023</cites><orcidid>0000-0002-8515-0838 ; 0000-0001-5206-7352</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8832243$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,314,776,780,792,881,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8832243$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://hal.science/hal-02272755$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Rapaport, Alain</creatorcontrib><creatorcontrib>Dochain, Denis</creatorcontrib><title>A Robust Asymptotic Observer for Systems That Converge to Unobservable States-A Batch Reactor Case Study</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>In this paper, we propose an observer for a dynamical system for which the states on the frontier of its domain are not observable, and all trajectories converge to the frontier. 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We also show how to extend this observer to obtain an observer in higher dimension that is robust with respect to unbiased noise.</description><subject>Biological system modeling</subject><subject>Biological systems</subject><subject>Biomass</subject><subject>Bioreactors</subject><subject>Biotechnology</subject><subject>Case studies</subject><subject>Convergence</subject><subject>Inductors</subject><subject>Life Sciences</subject><subject>Mathematics</subject><subject>Microorganisms</subject><subject>Observability</subject><subject>Observers</subject><subject>Optimization and Control</subject><subject>Robustness</subject><subject>state observer</subject><subject>Substrates</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kEtLAzEURoMoWKt7wU3AlYupSSaZySzHQa1QKPSxDpnMHdvSNjVJC_PvTR90Fe7N-T4uB6FnSgaUkuJ9VlYDRmgxYAUnMic3qEeFkAkTLL1FPUKoTAoms3v04P0qjhnntIcWJZ7Yeu8DLn232QUblgaPaw_uAA631uFp5wNsPJ4tdMCV3cb9L-Bg8XxrT5yu14CnQQfwSYk_dDALPAFtQgxX2h__9k33iO5avfbwdHn7aP71OauGyWj8_VOVo8SkWR4S3VLKayOI1ETUBuLcmIabRvO0biSwNq8bziEXTDYtbYs2B5qZopa5SClhaR-9nXsXeq12brnRrlNWL9WwHKnjjjCWs1yIA43s65ndOfu3Bx_Uyu7dNp6nWJSYiUyeGsmZMs5676C91lKiju5VdK-O7tXFfYy8nCNLALjiUqaM8TT9B2njf5w</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Rapaport, Alain</creator><creator>Dochain, Denis</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Biological system modeling Biological systems Biomass Bioreactors Biotechnology Case studies Convergence Inductors Life Sciences Mathematics Microorganisms Observability Observers Optimization and Control Robustness state observer Substrates |
title | A Robust Asymptotic Observer for Systems That Converge to Unobservable States-A Batch Reactor Case Study |
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