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首页> 外文期刊>Journal of the Chinese Society of Mechanical Engineers, Series C: Transactions of the Chinese Society of Mechanical Engineers >Effects of delays on the closed-loop stability of active vibration absorbers
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Effects of delays on the closed-loop stability of active vibration absorbers

机译：延迟对有源减振器闭环稳定性的影响

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摘要

The dynamics of flexible structures are usually somewhat uncertain. This makes it important to develop controllers for such systems that can never he destabilized by perturbations in the model. Active vibration absorbers are very attractive for such applications because they possess, in principle, this guaranteed stability property, since they mimic a virtual flexible structure attached to the true physical one. However, small delays will typically be present in the feedback loop in any real digital implementation of an active vibration absorber, and will have a destabilizing effect. This paper shows that these delays only affect the real parts of the eigenvalues of a lightly-damped structure. Furthermore, it is only the high-frequency modes that are destabilized by delays; low-frequency modes are actually made more heavily damped. Eigenvalue perturbation methods are used to obtain accurate predictions of the critical delay at which a given system will become unstable; these methods also determine which mode is critical.
机译：柔性结构的动力学通常不确定。这对于为此类系统开发不会因模型扰动而不稳定的控制器至关重要。有源减振器在此类应用中非常吸引人，因为它们从原理上讲具有这种保证的稳定性，因为它们模仿了附着在真实实体上的虚拟柔性结构。但是，在主动减振器的任何实际数字实现中，反馈环路中通常会出现小的延迟，并且会产生不稳定的影响。本文表明，这些延迟仅影响轻阻尼结构特征值的实部。此外，只有高频模式会因延迟而不稳定;低频模式实际上被大大抑制了。特征值摄动方法用于获得对给定系统变得不稳定的临界延迟的准确预测。这些方法还确定哪种模式至关重要。

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