<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00976009</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-25T00:03:50+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Efficient computation of minmax tests for fault isolation and their application to structural damage localization</title>
            <author role="aut">
              <persName>
                <forename type="first">Michael</forename>
                <surname>Döhler</surname>
              </persName>
              <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">michael-doehler</idno>
              <idno type="idhal" notation="numeric">2175</idno>
              <idno type="halauthorid" notation="string">22492-2175</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4844-5474</idno>
              <idno type="IDREF">https://www.idref.fr/159299306</idno>
              <affiliation ref="#struct-175974"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Laurent</forename>
                <surname>Mevel</surname>
              </persName>
              <email type="md5">b5e4a468869b48aa12d342f34f0c3177</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">laurent-mevel</idno>
              <idno type="idhal" notation="numeric">14387</idno>
              <idno type="halauthorid" notation="string">15077-14387</idno>
              <idno type="IDREF">https://www.idref.fr/093658907</idno>
              <affiliation ref="#struct-118032"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Falk</forename>
                <surname>Hille</surname>
              </persName>
              <idno type="halauthorid">561048-0</idno>
              <affiliation ref="#struct-175974"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Michael</forename>
                <surname>Döhler</surname>
              </persName>
              <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2014-09-03 21:08:24</date>
              <date type="whenModified">2025-03-28 03:13:26</date>
              <date type="whenReleased">2014-09-08 14:29:00</date>
              <date type="whenProduced">2014-08-24</date>
              <date type="whenEndEmbargoed">2014-09-03</date>
              <ref type="file" target="https://inria.hal.science/hal-00976009v1/document">
                <date notBefore="2014-09-03"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-00976009v1/file/IFAC2014-minmax.pdf" id="file-976009-688271">
                <date notBefore="2014-09-03"/>
              </ref>
              <ref type="externalLink" target="https://hal.inria.fr/hal-00976009/document"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="155460">
                <persName>
                  <forename>Michael</forename>
                  <surname>Döhler</surname>
                </persName>
                <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00976009</idno>
            <idno type="halUri">https://inria.hal.science/hal-00976009</idno>
            <idno type="halBibtex">dohler:hal-00976009</idno>
            <idno type="halRefHtml">&lt;i&gt;IFAC WC - 19th IFAC World Congress&lt;/i&gt;, Aug 2014, Cape Town, South Africa. &lt;a target="_blank" href="https://dx.doi.org/10.3182/20140824-6-ZA-1003.00881"&gt;&amp;#x27E8;10.3182/20140824-6-ZA-1003.00881&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">IFAC WC - 19th IFAC World Congress, Aug 2014, Cape Town, South Africa. &amp;#x27E8;10.3182/20140824-6-ZA-1003.00881&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-976009-688271"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRIA-RENNES">INRIA Rennes - Bretagne Atlantique</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNAM">l'unam - université nantes angers le mans</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="IFSTTAR">Ifsttar</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="UNIV-EIFFEL">Université Gustave Eiffel</idno>
            <idno type="stamp" n="IFSTTAR-UNIVEIFFEL">Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</idno>
            <idno type="stamp" n="COSYS">Composants et systèmes</idno>
            <idno type="stamp" n="INRIA-ALLEMAGNE">INRIA-ALLEMAGNE</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Efficient computation of minmax tests for fault isolation and their application to structural damage localization</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Michael</forename>
                    <surname>Döhler</surname>
                  </persName>
                  <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">michael-doehler</idno>
                  <idno type="idhal" notation="numeric">2175</idno>
                  <idno type="halauthorid" notation="string">22492-2175</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4844-5474</idno>
                  <idno type="IDREF">https://www.idref.fr/159299306</idno>
                  <affiliation ref="#struct-175974"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Laurent</forename>
                    <surname>Mevel</surname>
                  </persName>
                  <email type="md5">b5e4a468869b48aa12d342f34f0c3177</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">laurent-mevel</idno>
                  <idno type="idhal" notation="numeric">14387</idno>
                  <idno type="halauthorid" notation="string">15077-14387</idno>
                  <idno type="IDREF">https://www.idref.fr/093658907</idno>
                  <affiliation ref="#struct-118032"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Falk</forename>
                    <surname>Hille</surname>
                  </persName>
                  <idno type="halauthorid">561048-0</idno>
                  <affiliation ref="#struct-175974"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>IFAC WC - 19th IFAC World Congress</title>
                  <date type="start">2014-08-24</date>
                  <date type="end">2014-08-29</date>
                  <settlement>Cape Town</settlement>
                  <country key="ZA">South Africa</country>
                </meeting>
                <imprint>
                  <date type="datePub">2014-08-24</date>
                </imprint>
              </monogr>
              <idno type="doi">10.3182/20140824-6-ZA-1003.00881</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-ds">Mathematics [math]/Dynamical Systems [math.DS]</classCode>
              <classCode scheme="halDomain" n="stat.ap">Statistics [stat]/Applications [stat.AP]</classCode>
              <classCode scheme="halDomain" n="spi.meca.vibr">Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]</classCode>
              <classCode scheme="halDomain" n="phys.meca.vibr">Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Fault detection and isolation can be handled by many different approaches. This paper builds upon a hypothesis test that checks whether the mean of a Gaussian random vector has become non-zero in the faulty state, based on a chi2 test. For fault isolation, it has to be decided which components in the parameter set of the Gaussian vector have changed, which is done by variants of the chi2 hypothesis test using the so-called sensitivity and minmax approaches. While only the sensitivity of the tested parameter component is taken into account in the sensitivity approach, the sensitivities of all parameters are used in the minmax approach, leading to better statistical properties at the expense of an increased computational burden. The computation of the respective test variable in the minmax test is cumbersome and may be ill-conditioned especially for large parameter sets, asking hence for a careful numerical evaluation. Furthermore, the fault isolation procedure requires the repetitive calculation of the test variable for each of the parameter components that are tested for a change, which may be a significant computational burden. In this paper, dealing with the minmax problem, we propose a new efficient computation for the test variables, which is based on a simultaneous QR decomposition for all parameters. Based on this scheme, we propose an efficient test computation for a large parameter set, leading to a decrease in the numerical complexity by one order of magnitude in the total number of parameters. Finally, we show how the minmax test is useful for structural damage localization, where an asymptotically Gaussian residual vector is computed from output-only vibration data of a mechanical or a civil structure.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-175974" status="VALID">
          <orgName>BAM Federal Institute for Materials Research and Testing</orgName>
          <desc>
            <address>
              <addrLine>Unter den Eichen 87, 12205 Berlin, Germany</addrLine>
              <country key="DE"/>
            </address>
            <ref type="url">http://www.bam.de/en/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-377795" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-118032" status="OLD">
          <idno type="RNSR">200920933U</idno>
          <orgName>Statistical Inference for Structural Health Monitoring</orgName>
          <orgName type="acronym">I4S</orgName>
          <date type="start">2013-01-01</date>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu 35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/i4s</ref>
          </desc>
          <listRelation>
            <relation active="#struct-221978" type="direct"/>
            <relation active="#struct-222110" type="indirect"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation active="#struct-301358" type="indirect"/>
            <relation active="#struct-301713" type="indirect"/>
            <relation active="#struct-419153" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-377795" status="VALID">
          <orgName>Federal Institute for Materials Research and Testing - Bundesanstalt für Materialforschung und -prüfung</orgName>
          <orgName type="acronym">BAM</orgName>
          <desc>
            <address>
              <addrLine>BAM Headquarters - Berlin</addrLine>
              <country key="DE"/>
            </address>
            <ref type="url">https://www.bam.de/Navigation/DE/Home/home.html</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-221978" status="OLD">
          <orgName>Département Composants et Systèmes</orgName>
          <orgName type="acronym">IFSTTAR/COSYS</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ifsttar.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-222110" type="direct"/>
            <relation active="#struct-301088" type="direct"/>
            <relation active="#struct-301358" type="direct"/>
            <relation active="#struct-301713" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-222110" status="OLD">
          <idno type="ROR">https://ror.org/02xwvzv71</idno>
          <orgName>Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</orgName>
          <orgName type="acronym">IFSTTAR</orgName>
          <date type="start">2011-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ifsttar.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-301088" status="VALID">
          <idno type="ROR">https://ror.org/01rk35k63</idno>
          <orgName>Université de Lyon</orgName>
          <desc>
            <address>
              <addrLine>92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-lyon.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-301358" status="OLD">
          <idno type="IdRef">187401039</idno>
          <orgName>PRES Université Nantes Angers Le Mans</orgName>
          <orgName type="acronym">UNAM</orgName>
          <date type="start">2008-12-31</date>
          <date type="end">2016-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301713" status="OLD">
          <orgName>PRES Université Lille Nord de France</orgName>
          <date type="start">2009-01-01</date>
          <date type="end">2014-12-31</date>
          <desc>
            <address>
              <addrLine>PRES - pôle de recherche et d'enseignement supérieur Université de Lille Nord de France</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-419153" status="VALID">
          <idno type="RNSR">198018249C</idno>
          <idno type="ROR">https://ror.org/04040yw90</idno>
          <orgName>Centre Inria de l'Université de Rennes</orgName>
          <desc>
            <address>
              <addrLine>Campus de beaulieu35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/rennes</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>