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    Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi Sugeno Fuzzy Model With the Fractional Order 1≤v < 2

    Source: Journal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 004::page 41005
    Author:
    Junmin, Li
    ,
    Yuting, Li
    DOI: 10.1115/1.4023739
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper addresses the problems of the robust stability and stabilization for fractional order systems based on the uncertain TakagiSugeno fuzzy model. A sufficient and necessary condition of asymptotical stability for fractional order uncertain TS fuzzy model is given, and a parallel distributed compensate fuzzy controller is designed to asymptotically stabilize the model. The results are obtained in terms of linear matrix inequalities. Finally, a numerical example and fractional order Van der Pol system are given to show the effectiveness of our results.
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      Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi Sugeno Fuzzy Model With the Fractional Order 1≤v < 2

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    http://yetl.yabesh.ir/yetl1/handle/yetl/151154
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    contributor authorJunmin, Li
    contributor authorYuting, Li
    date accessioned2017-05-09T00:56:59Z
    date available2017-05-09T00:56:59Z
    date issued2013
    identifier issn1555-1415
    identifier othercnd_8_4_041005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/151154
    description abstractThis paper addresses the problems of the robust stability and stabilization for fractional order systems based on the uncertain TakagiSugeno fuzzy model. A sufficient and necessary condition of asymptotical stability for fractional order uncertain TS fuzzy model is given, and a parallel distributed compensate fuzzy controller is designed to asymptotically stabilize the model. The results are obtained in terms of linear matrix inequalities. Finally, a numerical example and fractional order Van der Pol system are given to show the effectiveness of our results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRobust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi Sugeno Fuzzy Model With the Fractional Order 1≤v < 2
    typeJournal Paper
    journal volume8
    journal issue4
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4023739
    journal fristpage41005
    journal lastpage41005
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2013:;volume( 008 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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