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合成非线性谐振器时获得期望平衡点的模型反转控制策略

A model-inversion control strategy to attain desired equilibrium points when synthesizing nonlinear resonators

Maxime Morell, Emanuele De Bono, Emmanuel Gourdon, Manuel Collet, Alireza Ture Savadkoohi, Claude-Henri Lamarque

arXiv 2608.30626首次发表:更新:

发表机构

Ecole Centrale de Lyon; CNRS; ENTPE; LTDS; UMR5513(里昂中央理工学院; 法国国家科学研究中心; 国立土木工程学院; 实验室与动态系统研究; 联合研究单位5513)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对电声谐振器初始条件难以获取导致的平衡点不利于噪声衰减问题,提出模型反转前馈控制策略,经数值与实验验证可获得期望平衡点,实现声学模式衰减。

AI 中文摘要

确定性非线性系统的初始条件会影响其达到的渐近解,这一问题在通过主动控制合成实现非线性行为且初始条件无法预先约束时尤为突出。同时,广义阻抗控制近期在声学领域受到越来越多关注,已被扩展用于在低激励水平下实现电声谐振器的非线性力学响应。然而,由于电声谐振器的初始条件几乎无法获取,合成非线性动力学实际呈现的平衡点不利于在实际噪声源激励的腔体中实现噪声衰减。本文提出一种控制策略,该策略可通过定义具有期望非线性阻抗和合成外部激励的外系统来获得期望平衡点;通过模型反转前馈策略,将外系统动力学实时积分并使其响应作用于实际系统(本研究中为电声谐振器)。所提算法已在电声谐振器中实现,并通过数值模拟和实验验证,其中实验测试分别在准开放声学环境和用于声学模式衰减的封闭腔体中开展。

英文摘要

The initial conditions of a deterministic nonlinear system affects the attained asymptotic solutions. This is a problem when the nonlinear behaviour is achieved by active control synthesis, and the initial conditions are not accessible for pre-constraining. Meanwhile, the generalized impedance control is recently gaining increasing attention in acoustics, and has been enlarged to achieve nonlinear mechanical responses of Electroacoustic Resonators at low excitation levels. Nevertheless, as the initial conditions of Electroacoustic Resonators are hardly accessible, the equilibrium points actually showcased by the synthetic nonlinear dynamics are not advantageous for noise attenuation in cavities excited by realistic noise sources. In this paper, we propose a control strategy being able to attain the desired equilibrium points, due to the definition of an exosystem characterized by a desired nonlinear impedance and a synthetic external excitation. The exosystem dynamics is integrated in real time and its response is enforced in the actual system (in our case, the Electroacoustic Resonator), by a model-inversion feedforward strategy. The proposed algorithm is implemented in the Electroacoustic Resonator, and is validated both numerically and experimentally. In particular, the experimental testing is conducted both in a quasi-open acoustic environment, and in enclosed cavities for acoustic mode attenuation.

论文原文

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