基于状态观测器的机敏约束阻尼板模态控制

Modal control of smart constrained layer damping plate based on state observer

以对边约束板结构为研究对象,研究了压电机敏约束阻尼技术的振动主动控制问题。基于压电本构关系、GHM阻尼模型和模态理论建立了模态主动控制模型。考虑到模态坐标在工程实际中无法由物理传感器直接测量,基于分离定理进行了模态状态观测器设计,并结合非耦合模态控制法与最优二次型控制进行了振动主动控制器设计。搭建了硬件在环实验平台,在不同外扰激励下开展了振动主动控制实验研究。结果表明,采用带有观测器的模态控制器,对板结构的振动主动控制能取得很好效果:当外界激励为复杂周期信号时,振动响应幅值衰减近60%;当外界激励为随机白噪声时,振动响应的均方根值减少9.48%。

The vibration active control of piezoelectric smart constrained layer damping technology was researched with a clamped-clamped plate structure.The modal active control model was established based on piezoelectric constitutive relation,GHM damping model and modal theory.The modal state observer was designed based on separation theorem since the modal coordinates can not be directly acquired by physical sensor in engineering practice.An active vibration controller was also designed using non-coupling modal control and quadratic optimal control.Experiments of hardware in the loop and active vibration control were carried out under different external disturbance excitations.Results show that,using modal controller with an observer,good effect of active control of the plate vibration can be obtained.When the external excitation is complicated periodic signal,the vibration response amplitude attenuates to nearly 60%.When the external excitation is random white noise,the root mean square value of the vibration response reduces by 9.48%.