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Adaptive parameter estimation with convergence analysis for the prandtl-ishlinskii hysteresis operator
R. Xu; M. Zhou and X. Tan
2021
发表期刊ASME Letters in Dynamic Systems and Control
ISSN26896117
卷号1期号:4
摘要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. Copyright 2021 by ASME.
DOI10.1115/1.4050189
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文献类型期刊论文
条目标识符http://ir.ciomp.ac.cn/handle/181722/65030
专题中国科学院长春光学精密机械与物理研究所
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R. Xu,M. Zhou and X. Tan. Adaptive parameter estimation with convergence analysis for the prandtl-ishlinskii hysteresis operator[J]. ASME Letters in Dynamic Systems and Control,2021,1(4).
APA R. Xu,&M. Zhou and X. Tan.(2021).Adaptive parameter estimation with convergence analysis for the prandtl-ishlinskii hysteresis operator.ASME Letters in Dynamic Systems and Control,1(4).
MLA R. Xu,et al."Adaptive parameter estimation with convergence analysis for the prandtl-ishlinskii hysteresis operator".ASME Letters in Dynamic Systems and Control 1.4(2021).
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