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Bode integral constraints, collocation, and spillover in active noise and vibration control

机译:主动噪声和振动控制中的伯德积分约束,并置和溢出

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With the success of feedforward techniques for active noise control, feedback control researchers have begun to explore the relationship between these two control paradigms. The goal of this paper is to further investigate this relationship by means of the classical Bode integral constraint on achievable performance. This constraint provides insight into the phenomenon of spillover which we define as disturbance amplification by the closed-loop system relative to the open-loop transfer function gain. Specifically, it is shown that a particular feedforward controller called the zero spillover controller avoids spillover by producing perfect disturbance cancellation at every frequency. The analysis suggests that spillover can be avoided only if the control speaker and the disturbance source are noncollocated and the performance microphone and the measurement microphone are noncollocated. For realizability, we derive the approximate zero spillover controller which is shown to be an optimal feedback controller for an LQG problem with suitable cross weighting. Finally, the results are illustrated by means of structural and acoustic examples.
机译:随着前馈技术在主动噪声控制中的成功应用,反馈控制研究人员已开始探索这两种控制范例之间的关系。本文的目的是通过对可实现性能的经典Bode积分约束进一步研究这种关系。该约束条件提供了对溢出现象的洞察力,我们将其定义为闭环系统相对于开环传递函数增益的干扰放大。具体而言,已表明,称为零溢出控制器的特定前馈控制器通过在每个频率上产生完美的干扰消除来避免溢出。分析表明,只有在控制扬声器和干扰源未并置并且性能麦克风和测量麦克风未并置的情况下,才能避免溢出。为了实现可实现性,我们推导了近似零溢出控制器,该控制器显示为具有适当交叉加权的LQG问题的最佳反馈控制器。最后,通过结构和声学示例说明了结果。

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