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首页> 外文期刊>Smart Materials & Structures >Vibration mitigation in multi-degree-of-freedom structural systems using filter-augmented delayed-feedback algorithms
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Vibration mitigation in multi-degree-of-freedom structural systems using filter-augmented delayed-feedback algorithms

机译：使用过滤器增强的延迟反馈算法缓解多自由度结构系统中的振动

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摘要

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.
机译：由于它们具有增加系统延迟并为较小的控制工作量产生更大阻尼的能力，因此延迟反馈控制算法已被广泛用作减轻振动和减少各种系统振动的有效手段。但是，在多自由度和分布式参数（结构）系统上的实现中仍然存在关键问题。原因是控制回路中存在延迟，从而呈现了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了无数个特征值。这样，选择稳定较低振动模式的增益-延迟组合可以轻易使较高振动模式不稳定。在本文中，我们探索了将低通滤波器并入控制环路以解决此问题的前景。对于单自由度和多自由度系统，我们研究了增益延迟空间中滤波器阶数和截止频率对稳定性图的影响。我们表明，通过适当选择滤波器的设计参数，可以增加稳定性裕度并增强控制器的鲁棒性。我们还演示了使用单个增益延迟组合可以同时减轻多种模式的振动。为了验证这些概念，通过实验实现了一种控制器，以减少大悬臂梁和微悬臂梁传感器的振动。结果表明，在抑制外部干扰和降低持续谐波激励下的响应幅度方面表现出色。

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