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    Adaptive Parameter Estimation With Convergence Analysis for the Prandtl–Ishlinskii Hysteresis Operator

    Source: ASME Letters in Dynamic Systems and Control:;2021:;volume( 001 ):;issue: 004::page 041005-1
    Author:
    Xu, Rui
    ,
    Zhou, Miaolei
    ,
    Tan, Xiaobo
    DOI: 10.1115/1.4050189
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Hysteresis is a nonlinear characteristic ubiquitously exhibited by smart material sensors and actuators, such as piezoelectric actuators and shape memory alloys. The Prandtl–Ishlinskii (PI) operator is widely used to describe hysteresis of smart material systems due to its simple structure and the existence of analytical inverse. A PI operator consists of a weighted superposition of play (backlash) operators. While adaptive estimation of the weights for PI operators has been reported in the literature, rigorous analysis of parameter convergence is lacking. In this article, we establish persistent excitation and thus parameter convergence for adaptive weight estimation under a rather modest condition on the input to the PI operator. The analysis is further supported via simulation, where a recursive least square (RLS) method is adopted for parameter estimation.
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      Adaptive Parameter Estimation With Convergence Analysis for the Prandtl–Ishlinskii Hysteresis Operator

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4277055
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    contributor authorXu, Rui
    contributor authorZhou, Miaolei
    contributor authorTan, Xiaobo
    date accessioned2022-02-05T22:10:24Z
    date available2022-02-05T22:10:24Z
    date copyright3/11/2021 12:00:00 AM
    date issued2021
    identifier issn2689-6117
    identifier otheraldsc_1_4_041005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4277055
    description abstractHysteresis is a nonlinear characteristic ubiquitously exhibited by smart material sensors and actuators, such as piezoelectric actuators and shape memory alloys. The Prandtl–Ishlinskii (PI) operator is widely used to describe hysteresis of smart material systems due to its simple structure and the existence of analytical inverse. A PI operator consists of a weighted superposition of play (backlash) operators. While adaptive estimation of the weights for PI operators has been reported in the literature, rigorous analysis of parameter convergence is lacking. In this article, we establish persistent excitation and thus parameter convergence for adaptive weight estimation under a rather modest condition on the input to the PI operator. The analysis is further supported via simulation, where a recursive least square (RLS) method is adopted for parameter estimation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAdaptive Parameter Estimation With Convergence Analysis for the Prandtl–Ishlinskii Hysteresis Operator
    typeJournal Paper
    journal volume1
    journal issue4
    journal titleASME Letters in Dynamic Systems and Control
    identifier doi10.1115/1.4050189
    journal fristpage041005-1
    journal lastpage041005-4
    page4
    treeASME Letters in Dynamic Systems and Control:;2021:;volume( 001 ):;issue: 004
    contenttypeFulltext
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