This paper presents a model-free adaptive control approach to suppress vibrations in a cantilevered beam excited by an unknown disturbance. The cantilevered beam under harmonic excitation is modeled using a lumped parameter approach. Based on retrospective cost optimization, a sampled-data adaptive controller is developed to suppress vibrations caused by external disturbances. Both displacement and acceleration measurements are considered for feedback. Since acceleration measurements are more sensitive to spillover, which excites higher frequency modes, a filter is developed to extract key displacement information from the acceleration data and enhance suppression performance. The vibration suppression performance is compared using both displacement and acceleration measurements.

翻译：本文提出一种无模型自适应控制方法，用于抑制未知扰动激励下悬臂梁的振动。采用集中参数法对谐波激励下的悬臂梁进行建模。基于回溯成本优化原理，设计了一种采样数据自适应控制器以抑制外部扰动引起的振动。研究同时考虑了位移与加速度测量值作为反馈信号。由于加速度测量对溢出现象更为敏感（会激发更高频模态），本文开发了一种滤波器从加速度数据中提取关键位移信息以提升抑制性能。最后对比分析了采用位移测量与加速度测量时的振动抑制效果。