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A New Approach to a Fuzzy Time-Optimal Control Problem

Amrahov, S. Emrah; Gasilov, N. A.; Fatullayev, A. G.


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/67007</identifier>
  <creators>
    <creator>
      <creatorName>Amrahov, S. Emrah</creatorName>
      <givenName>S. Emrah</givenName>
      <familyName>Amrahov</familyName>
      <affiliation>Ankara Univ, Dept Comp Engn, TR-06100 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Gasilov, N. A.</creatorName>
      <givenName>N. A.</givenName>
      <familyName>Gasilov</familyName>
      <affiliation>Baskent Univ, TR-06810 Ankara, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Fatullayev, A. G.</creatorName>
      <givenName>A. G.</givenName>
      <familyName>Fatullayev</familyName>
      <affiliation>Baskent Univ, TR-06810 Ankara, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>A New Approach To A Fuzzy Time-Optimal Control Problem</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2014</publicationYear>
  <dates>
    <date dateType="Issued">2014-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
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    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/67007</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.67006</relatedIdentifier>
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    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">In this paper, we present a new approach to a time-optimal control problem with uncertainties. The dynamics of the controlled object, expressed by a linear system of differential equations, is assumed to be crisp, while the initial and final phase states are fuzzy sets. We interpret the problem as a set of crisp problems. We introduce a new notion of fuzzy optimal time and transform its calculation to two classical time-optimal control problems with initial and final sets. We examine the proposed approach on an example which is a problem of fuzzy control of mathematical pendulum.</description>
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