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    Multiple Fixed Pole-Based Rational Approximation for Fractional Order Systems

    Source: Journal of Dynamic Systems, Measurement, and Control:;2021:;volume( 143 ):;issue: 006::page 061008-1
    Author:
    Wei, Yiheng
    ,
    Zhang, Hui
    ,
    Hou, Yuqing
    ,
    Cheng, Kun
    DOI: 10.1115/1.4049557
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Our topic is the rational approximation of fractional order systems under Riemann–Liouville definition. This is a venerable, vast, fundamental area which attracts ongoing attention in coming years. In this work, the multiple fixed-pole scheme is developed. First, new schemes with different relative degree are developed to approximate fractional operators. Then, the fractional order is extended to the case of α>1. A discussion is made on the uniformity between the differentiator-based method and the integrator-based method. Afterward, the multiplicity of pole/zero is further generalized. In this framework, the nonzero initial instant and nonzero initial state are considered. Four examples are finally provided to show the feasibility and effectiveness of the developed algorithms.
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      Multiple Fixed Pole-Based Rational Approximation for Fractional Order Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4277119
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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorWei, Yiheng
    contributor authorZhang, Hui
    contributor authorHou, Yuqing
    contributor authorCheng, Kun
    date accessioned2022-02-05T22:12:18Z
    date available2022-02-05T22:12:18Z
    date copyright2/4/2021 12:00:00 AM
    date issued2021
    identifier issn0022-0434
    identifier otherds_143_06_061008.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4277119
    description abstractOur topic is the rational approximation of fractional order systems under Riemann–Liouville definition. This is a venerable, vast, fundamental area which attracts ongoing attention in coming years. In this work, the multiple fixed-pole scheme is developed. First, new schemes with different relative degree are developed to approximate fractional operators. Then, the fractional order is extended to the case of α>1. A discussion is made on the uniformity between the differentiator-based method and the integrator-based method. Afterward, the multiplicity of pole/zero is further generalized. In this framework, the nonzero initial instant and nonzero initial state are considered. Four examples are finally provided to show the feasibility and effectiveness of the developed algorithms.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMultiple Fixed Pole-Based Rational Approximation for Fractional Order Systems
    typeJournal Paper
    journal volume143
    journal issue6
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.4049557
    journal fristpage061008-1
    journal lastpage061008-10
    page10
    treeJournal of Dynamic Systems, Measurement, and Control:;2021:;volume( 143 ):;issue: 006
    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