<?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-04429635</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="2026-05-02T03:31:14+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Degradation index construction and learning-based prognostics for stochastically deteriorating feedback control systems</title>
            <author role="aut">
              <persName>
                <forename type="first">Yufei</forename>
                <surname>Gong</surname>
              </persName>
              <email type="md5">7c79eccdb09106bfbdaa5f1cd4dd9148</email>
              <email type="domain">utt.fr</email>
              <idno type="idhal" notation="numeric">1196051</idno>
              <idno type="halauthorid" notation="string">2661365-1196051</idno>
              <affiliation ref="#struct-1085913"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Khac Tuan</forename>
                <surname>Huynh</surname>
              </persName>
              <email type="md5">faccb8094603685156519ad67c5cf84a</email>
              <email type="domain">utt.fr</email>
              <idno type="idhal" notation="numeric">874917</idno>
              <idno type="halauthorid" notation="string">483946-874917</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0886-3711</idno>
              <idno type="IDREF">https://www.idref.fr/161562574</idno>
              <affiliation ref="#struct-1085913"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Yves</forename>
                <surname>Langeron</surname>
              </persName>
              <email type="md5">e9cf564cf9fb3e11d93d8afa74b9756e</email>
              <email type="domain">utt.fr</email>
              <ptr type="url" target="https://recherche.utt.fr/computer-science-and-digital-society-list3n/yves-langeron"/>
              <idno type="idhal" notation="string">yves-langeron</idno>
              <idno type="idhal" notation="numeric">736356</idno>
              <idno type="halauthorid" notation="string">13922-736356</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3861-0352</idno>
              <idno type="IDREF">https://www.idref.fr/185784267</idno>
              <affiliation ref="#struct-1085913"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Antoine</forename>
                <surname>Grall</surname>
              </persName>
              <email type="md5">a66a17f034753c0bc46679f47ecfbba1</email>
              <email type="domain">utt.fr</email>
              <idno type="idhal" notation="string">antoine-grall</idno>
              <idno type="idhal" notation="numeric">174686</idno>
              <idno type="halauthorid" notation="string">16697-174686</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-6900-7951</idno>
              <idno type="IDREF">https://www.idref.fr/061130974</idno>
              <affiliation ref="#struct-1085913"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Accord Elsevier</forename>
                <surname>CCSD</surname>
              </persName>
              <email type="md5">3cc0cc7b8e3329bfb7423fa2578d788e</email>
              <email type="domain">ccsd.cnrs.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2025-07-09 10:08:55</date>
              <date type="whenModified">2025-07-10 03:17:00</date>
              <date type="whenReleased">2025-07-09 10:08:56</date>
              <date type="whenProduced">2023-10</date>
              <date type="whenEndEmbargoed">2024-07-04</date>
              <ref type="file" target="https://utt.hal.science/hal-04429635v1/document">
                <date notBefore="2024-07-04"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://utt.hal.science/hal-04429635v1/file/S0951832023003745.pdf" id="file-5153105-4449546">
                <date notBefore="2024-07-04"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="1081876">
                <persName>
                  <forename>Accord Elsevier</forename>
                  <surname>CCSD</surname>
                </persName>
                <email type="md5">3cc0cc7b8e3329bfb7423fa2578d788e</email>
                <email type="domain">ccsd.cnrs.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04429635</idno>
            <idno type="halUri">https://utt.hal.science/hal-04429635</idno>
            <idno type="halBibtex">gong:hal-04429635</idno>
            <idno type="halRefHtml">&lt;i&gt;Reliability Engineering and System Safety&lt;/i&gt;, 2023, 238, pp.109460. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.ress.2023.109460"&gt;&amp;#x27E8;10.1016/j.ress.2023.109460&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Reliability Engineering and System Safety, 2023, 238, pp.109460. &amp;#x27E8;10.1016/j.ress.2023.109460&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://creativecommons.org/licenses/by-nc/4.0/">CC BY-NC 4.0 - Attribution - Non-commercial use<ref corresp="#file-5153105-4449546"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TROYES">Université de Technologie de Troyes</idno>
            <idno type="stamp" n="UTT">UTT</idno>
            <idno type="stamp" n="UTT-LIST3N" corresp="UNIV-TROYES">LIST3N - Laboratoire Informatique et Société Numérique</idno>
            <idno type="stamp" n="UTT-FULL-TEXT">UTT - Texte intégral</idno>
            <idno type="stamp" n="ELSEVIER">Import Elsevier</idno>
            <idno type="stamp" n="LM2S-UTT" corresp="UTT">LM2S</idno>
            <idno type="stamp" n="LIST3N-MSAD" corresp="UTT-LIST3N">LIST3N -  Modélisation, stochastique, apprentissage et décision</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Degradation index construction and learning-based prognostics for stochastically deteriorating feedback control systems</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Yufei</forename>
                    <surname>Gong</surname>
                  </persName>
                  <email type="md5">7c79eccdb09106bfbdaa5f1cd4dd9148</email>
                  <email type="domain">utt.fr</email>
                  <idno type="idhal" notation="numeric">1196051</idno>
                  <idno type="halauthorid" notation="string">2661365-1196051</idno>
                  <affiliation ref="#struct-1085913"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Khac Tuan</forename>
                    <surname>Huynh</surname>
                  </persName>
                  <email type="md5">faccb8094603685156519ad67c5cf84a</email>
                  <email type="domain">utt.fr</email>
                  <idno type="idhal" notation="numeric">874917</idno>
                  <idno type="halauthorid" notation="string">483946-874917</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0886-3711</idno>
                  <idno type="IDREF">https://www.idref.fr/161562574</idno>
                  <affiliation ref="#struct-1085913"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Yves</forename>
                    <surname>Langeron</surname>
                  </persName>
                  <email type="md5">e9cf564cf9fb3e11d93d8afa74b9756e</email>
                  <email type="domain">utt.fr</email>
                  <ptr type="url" target="https://recherche.utt.fr/computer-science-and-digital-society-list3n/yves-langeron"/>
                  <idno type="idhal" notation="string">yves-langeron</idno>
                  <idno type="idhal" notation="numeric">736356</idno>
                  <idno type="halauthorid" notation="string">13922-736356</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3861-0352</idno>
                  <idno type="IDREF">https://www.idref.fr/185784267</idno>
                  <affiliation ref="#struct-1085913"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Antoine</forename>
                    <surname>Grall</surname>
                  </persName>
                  <email type="md5">a66a17f034753c0bc46679f47ecfbba1</email>
                  <email type="domain">utt.fr</email>
                  <idno type="idhal" notation="string">antoine-grall</idno>
                  <idno type="idhal" notation="numeric">174686</idno>
                  <idno type="halauthorid" notation="string">16697-174686</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-6900-7951</idno>
                  <idno type="IDREF">https://www.idref.fr/061130974</idno>
                  <affiliation ref="#struct-1085913"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">18553</idno>
                <idno type="issn">0951-8320</idno>
                <idno type="eissn">1879-0836</idno>
                <title level="j">Reliability Engineering and System Safety</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">238</biblScope>
                  <biblScope unit="pp">109460</biblScope>
                  <date type="datePub">2023-10</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.ress.2023.109460</idno>
              <idno type="pii">S0951-8320(23)00374-5</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Remaining useful life</term>
                <term xml:lang="en">Learning-based prognostics</term>
                <term xml:lang="en">Hidden damage</term>
                <term xml:lang="en">Feedback control system</term>
                <term xml:lang="en">Degradation index</term>
                <term xml:lang="en">Birnbaum–Saunders distribution</term>
              </keywords>
              <classCode scheme="halDomain" n="info">Computer Science [cs]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Degradation-based prognostics is crucial for the health management of technological systems. In this work, we are interested in the degradation index construction and remaining useful life prognostics for stochastically deteriorating feedback control systems. The main challenges reside in the lack of knowledge about the system structure and the latent internal damage, as well as in the fault tolerance nature of feedback control systems. Our solution is to consider the whole system as a black-box, and use its easy-to-observe reference input/time response output to estimate the system transfer function. The associated H∞ norm, also called maximum energy gain, is defined as a system degradation index. Since the system fault tolerance does not allow to efficiently model the index evolution by common stochastic processes, traditional prognostics based on degradation processes are no longer applicable. To remedy, we propose to fit the system remaining useful life population to the versatile Birnbaum–Saunders distribution, and adopt a segmenting piecewise polynomials algorithm to learn the mapping between the distribution parameters and degradation index from degradation and failure data of similar systems. By this way, the remaining useful life distribution of deteriorating feedback control systems can be predicted in real-time given the system input/output at an inspection time. We numerically experiment our method on a stabilization loop control device driven by proportional–integral–differential controller in an inertial platform. Numerous sensitivity results under various configurations of system characteristics and training data corroborate the outperformance of proposed degradation index and the learning-based prognostics method.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-1085913" status="OLD">
          <orgName>Laboratoire Modélisation et Sûreté des Systèmes</orgName>
          <orgName type="acronym">LM2S</orgName>
          <date type="start">2021-01-01</date>
          <date type="end">2023-12-31</date>
          <desc>
            <address>
              <addrLine>Université de technologie de Troyes12 rue Marie Curie - CS 42060 - 10004 TROYES CEDEX</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1065712" type="direct"/>
            <relation active="#struct-93484" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1065712" status="VALID">
          <orgName>Laboratoire Informatique et Société Numérique</orgName>
          <orgName type="acronym">LIST3N</orgName>
          <date type="start">2021-01-01</date>
          <desc>
            <address>
              <addrLine>12 rue Marie Curie - CS 42060 - 10004 TROYES CEDEX</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-93484" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-93484" status="VALID">
          <idno type="ROR">https://ror.org/01qhqcj41</idno>
          <orgName>Université de Technologie de Troyes</orgName>
          <orgName type="acronym">UTT</orgName>
          <desc>
            <address>
              <addrLine>12 rue Marie CurieCS 4206010004 TROYES CEDEX</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>