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    Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations

    Source: Journal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 001::page 42
    Author:
    Wen-Jer Chang
    DOI: 10.1115/1.1540996
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a fuzzy control design method is be developed for the plant model whose structure is represented by the Takagi-Sugeno fuzzy model. In each rule of the Takagi-Sugeno fuzzy model, the system is characterized by linear dynamics given in the controllability canonical form. Replacing the Lyapunov inequality with a Lyapunov equation for stability analysis, the proposed method will make use of the inverse solution of Lyapunov equations to obtain a common Lyapunov function for all the subsystems. Based on this solution, the fuzzy controller can be constructed by using the parallel distributed compensation technique.
    keyword(s): Stability , Control equipment , Design , Equations , Fuzzy control , Feedback , Fuzzy logic AND Theorems (Mathematics) ,
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      Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/128149
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorWen-Jer Chang
    date accessioned2017-05-09T00:09:48Z
    date available2017-05-09T00:09:48Z
    date copyrightMarch, 2003
    date issued2003
    identifier issn0022-0434
    identifier otherJDSMAA-26314#42_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/128149
    description abstractIn this paper, a fuzzy control design method is be developed for the plant model whose structure is represented by the Takagi-Sugeno fuzzy model. In each rule of the Takagi-Sugeno fuzzy model, the system is characterized by linear dynamics given in the controllability canonical form. Replacing the Lyapunov inequality with a Lyapunov equation for stability analysis, the proposed method will make use of the inverse solution of Lyapunov equations to obtain a common Lyapunov function for all the subsystems. Based on this solution, the fuzzy controller can be constructed by using the parallel distributed compensation technique.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFuzzy Controller Design via the Inverse Solution of Lyapunov Equations
    typeJournal Paper
    journal volume125
    journal issue1
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.1540996
    journal fristpage42
    journal lastpage47
    identifier eissn1528-9028
    keywordsStability
    keywordsControl equipment
    keywordsDesign
    keywordsEquations
    keywordsFuzzy control
    keywordsFeedback
    keywordsFuzzy logic AND Theorems (Mathematics)
    treeJournal of Dynamic Systems, Measurement, and Control:;2003:;volume( 125 ):;issue: 001
    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
    yabeshDSpacePersian