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    Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005::page 51023
    Author:
    Rezaei, Davood
    ,
    Tavazoei, Mohammad Saleh
    DOI: 10.1115/1.4037103
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Oscillatory behavior and transfer properties of relay feedback systems with a linear plant including a fractional-order integrator are studied in this paper. An expression for system response in the time domain is obtained by means of short memory principle, Poincare return map, and Mittag–Leffler functions. On the basis of this expression, the frequency of self-excited oscillations is approximated. In addition, the locus of perturbed relay system (LPRS) is derived to analyze the input–output properties of the relay system. The presented analysis is supported by a numerical example.
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      Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants

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    contributor authorRezaei, Davood
    contributor authorTavazoei, Mohammad Saleh
    date accessioned2017-11-25T07:20:27Z
    date available2017-11-25T07:20:27Z
    date copyright2017/12/7
    date issued2017
    identifier issn1555-1415
    identifier othercnd_012_05_051023.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236455
    description abstractOscillatory behavior and transfer properties of relay feedback systems with a linear plant including a fractional-order integrator are studied in this paper. An expression for system response in the time domain is obtained by means of short memory principle, Poincare return map, and Mittag–Leffler functions. On the basis of this expression, the frequency of self-excited oscillations is approximated. In addition, the locus of perturbed relay system (LPRS) is derived to analyze the input–output properties of the relay system. The presented analysis is supported by a numerical example.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants
    typeJournal Paper
    journal volume12
    journal issue5
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4037103
    journal fristpage51023
    journal lastpage051023-7
    treeJournal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005
    contenttypeFulltext
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