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  <controlfield tag="003">Buklod</controlfield>
  <controlfield tag="005">20231007234347.0</controlfield>
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   <subfield code="a">DENGII</subfield>
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   <subfield code="a">eng</subfield>
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   <subfield code="a">Bor-Sen Chen</subfield>
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  <datafield tag="245" ind1="0" ind2="0">
   <subfield code="a">Optimal tracking design for stochastic fuzzy systems.</subfield>
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  <datafield tag="300" ind1=" " ind2=" ">
   <subfield code="a">pp. 796-813</subfield>
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   <subfield code="a">In general, fuzzy control design for stochastic nonlinear systems is still difficult since the fuzzy bases are stochastic so as to increase the difficulty and complexity of the fuzzy tracking control design. In this study, a fuzzy stochastic moving-average model with control input (fuzzy ARMAX model) is introduced to describe nonlinear stochastic systems. From the fuzzy ARMAX model, a fuzzy one-step ahead prediction model is developed. Based on a fuzzy one-step ahead prediction stochastic model, optimal design algorithms are proposed to achieve the optimal tracking of nonlinear stochastic systems. In this study, the minimum variance tracking control, generalized minimum variance tracking control, and the optimal model reference tracking control are developed for stochastic fuzzy systems. We construct some basic stability conditions for general stochastic fuzzy systems and use these conditions to verify the stability of the fuzzy tracking control systems. Finally, two simulation examples are given to indicate the performance of the proposed methods.</subfield>
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   <subfield code="a">Fuzzy ARMAX model.</subfield>
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   <subfield code="a">Fuzzy one-step ahead prediction model.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Fuzzy stochastic moving-average model.</subfield>
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   <subfield code="a">Fuzzy tracking control design.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Generalized minimum variance tracking control.</subfield>
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   <subfield code="a">Nonlinear system.</subfield>
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   <subfield code="a">Optimal design algorithms.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Optimal model reference tracking control.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Optimal tracking.</subfield>
  </datafield>
  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Optimal tracking design.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Stability conditions.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Stochastic fuzzy systems.</subfield>
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  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">IEEE Transactions on fuzzy systems</subfield>
   <subfield code="g">11, 6 (2003).</subfield>
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   <subfield code="a">FO</subfield>
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