Vibration mitigation in multi-degree-of-freedom structural systems using filter-augmented delayed-feedback algorithms
Vibration mitigation in multi-degree-of-freedom structural systems using filter-augmented delayed-feedback algorithms
复制标题
使用滤波器增强延迟反馈算法减轻多自由度结构系统的振动
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
M. Daqaq
中科院分区：
文献类型：
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作者：
Yousef Qaroush;M. Daqaq
由于其能够增加系统延迟和产生更大的阻尼较小的控制努力，延迟反馈控制算法已被广泛用作各种系统的振动缓解和振荡减少的有效手段。然而，一个关键的问题仍然是在他们的多自由度和分布参数（结构）系统的实施。原因是控制回路中延迟的存在使得超越类型的特征多项式，从而为每个离散控制器的增益和时间延迟产生无穷多个特征值。因此，选择稳定较低振动模式的增益-延迟组合可以容易地使较高模式不稳定。在本文中，我们探讨了前景，将低通滤波器的控制回路来解决这个问题。研究了滤波器阶数和截止频率对单自由度和多自由度系统增益-延迟空间稳定性图的影响。我们表明，通过选择适当的滤波器的设计参数，它是可能的，以增加稳定裕度和增强控制器的鲁棒性。我们还表明，多个模式的振动可以同时减轻使用一个单一的增益延迟组合。为了验证这些概念，控制器的实验实施，以减少一个macrocanimate梁和一个microcantilever传感器的振动。结果表明，在持续谐波激励下，该控制器具有良好的抗干扰和减小响应幅值的性能。
Due to their ability to augment system delays and produce greater damping for smaller control efforts, delayed-feedback control algorithms have been widely utilized as effective means for vibration mitigation and oscillation reduction on various systems. However, a critical issue remains in their implementation on multi-degree-of-freedom and distributed-parameter (structural) systems. The reason being that the presence of delay in the control loop renders the characteristic polynomial of the transcendental type thus producing an infinite number of eigenvalues for every discrete controller’s gain and time delay. As such, choosing a gain-delay combination that stabilizes the lower vibration modes can easily destabilize the higher modes. In this paper, we explore the prospect of incorporating low-pass filters into the control loop to resolve this issue. We investigate the effect of the filter’s order and cut-off frequency on the stability diagram in the gain-delay space for single and multi-degree-of-freedom systems. We show that, by choosing the filter’s design parameters appropriately, it is possible to increase the stability margins and enhance the robustness of the controller. We also demonstrate that vibrations of multiple modes can be simultaneously mitigated using a single gain-delay combination. To validate these concepts, a controller is experimentally implemented to reduce the vibrations of a macrocantilever beam and a microcantilever sensor. Results demonstrate excellent performance in rejecting external disturbances and reducing the response amplitude under persistent harmonic excitations.