速率无关迟滞的半线性Duhem模型分析

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) Pub Date : 2003-12-09 DOI:10.1109/CDC.2003.1272285

J. Oh, D. Bernstein

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引用次数: 1

摘要

本文考虑了迟滞的广义Duhem模型，并给出了迟滞在输入输出映射中存在的充分条件。迟滞被定义为在任意低频率下的持续相移。讨论了迟滞的速率依赖性，建立了一个与速率无关的半线性Duhem模型，该模型具有可证明的收敛性。我们还讨论了滞后图的反转行为和方向。

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Analysis of the semilinear Duhem model for rate-independent hysteresis

In this paper we consider a generalized Duhem model for hysteresis and provide a sufficient condition for the existence of hysteresis in the input-output map. Hysteresis is defined to be persistent phase shift at arbitrarily low frequency. The rate dependence of the hysteresis is also discussed, and we develop a rate-independent semilinear Duhem model with provable convergence properties. We also discuss the reversal behavior and orientation of the hysteretic map.

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42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

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