基于能量准则的压电悬臂梁振动控制

基于现代控制理论,选用结构控制能量和控制信号能量作为控制目标函数的LQR法,利用压电材料对悬臂梁进行结构振动的主动控制。首先,按能量准则编写程序对简支条件下控制目标函数中权系数矩阵(Q矩阵和R矩阵)进行理论计算。然后,利用Matlab系统仿真,演示了梁中点受初始位移激励时,一阶模态位移的控制曲线和控制电压随时间变化的曲线。最后,以表格的形式表示了R取不同值时,在初始位移激励下,振动停止的时间及其控制电压的最大值,从而体现出该方法能达到更有效控制结构振动和减小控制能量消耗的目的。

LQR Vibration Control of Cantilever Beam Based on Energy Criterion

Based on the modern control method and an LQR method in which the vibration energy of the structure and the control signal energy are chosen as the object function is adopted to control the vibration of cantilever beam through using piezoelectric material.Firstly,according to the energy criterion,we write programme to calculate the weighting factors(matrix Qand R) in object function.Secondly,by means of system simulation in the Matlab program,the curves of the control optimal voltage and the displacement re...