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Disturbance rejection control with H-infinity optimized observer for vibration suppression of piezoelectric smart structures

机译：利用H-Infinity优化观测器的扰动抑制控制，用于压电智能结构的振动抑制

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摘要

In this paper, a disturbance rejection (DR) control with H-infinity optimized observer is developed for vibration suppression of smart structures considering model uncertainties and measurement noise. An electromechanically coupled dynamic finite element (FE) model of piezoelectric smart structures is firstly built for control design. Based on the dynamic FE model, the H-infinity optimized observer is designed with a dynamic feedback gain which is calculated by H-infinity mixed sensitivity optimization. Expected response speed and robustness to model uncertainties and measurement noise are obtained by configuring proper weighting functions. In the closed-loop system, estimated disturbances and state variables are fed back through a conventional DR controller to counteract disturbances and stabilize the system. In order to validate the DR control with H-infinity optimized observer, vibration suppression simulations of a piezoelectric smart beam are implemented in the absence and presence of model uncertainties and measurement noise, respectively. Furthermore, DR control with generalized proportional integral observer and DR control with high-gain proportional integral observer are added for comparison. Results show that excellent vibration suppression performance and better robustness to model uncertainties and measurement noise are achieved by the DR control with H-infinity optimized observer.
机译：在本文中，考虑模型不确定性和测量噪声，开发了利用H-Infinity优化观察者的扰动抑制（DR）控制，用于振动抑制智能结构。压电智能结构的机电耦合动态有限元（FE）模型用于控制设计。基于动态FE模型，H-Infinity优化的观察者设计了通过H-Infinity混合灵敏度优化计算的动态反馈增益。通过配置正确的加权函数获得预期的响应速度和模型不确定性和测量噪声的鲁棒性。在闭环系统中，估计的干扰和状态变量通过传统的DR控制器反馈，以抵消干扰并稳定系统。为了验证利用H-Infinity优化的观察者进行验证，压电智能光束的振动抑制模拟分别在没有模型不确定性和测量噪声的情况下实现。此外，添加了具有广义比例积分观察者的DR控制和具有高增益比例积分观察者的DR控制进行比较。结果表明，通过H-Infinity优化观察者的DR控制实现了优异的振动抑制性​​能和更好的模型不确定性和测量噪声的鲁棒性。

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