配置压电自感作动器智能板振动的主动控制

Active Vibration Control of Smart Plate with Self Sensing Piezoelectric Actuators

将板的横向位移按模态展开,对配置压电自感作动器的薄板建立了模型,给出以广义模态坐标为状态变量的状态方程和以传感电流为输出的观测方程,在此基础上,对系统进行了LQG 控制和H∞控制.文中对配置3 对压电自感作动器的四边简支薄板结构做了数值仿真,将H∞控制结果与LQG 控制做了比较,绘制出干扰ω与广义模态速度v 之间传递函数的H2 范数图,同时给出速度、位移响应图,所需作用电压图.

For the four laterals simply supported plate, the transverse deflection of plate is expanded over the modal shapes, the electroelastic model with self sensing actuators plate is given, and the current is considered as output variable of measurement equation. Generalized modal coordinates being state variables, LQG and H ∞control is proceeded using the state space equation. In this paper, a self sensing thin plate with three pairs piezoelectric films is bonded on the surface of base structure, the H ∞ control solution is compared with that of LQG control. Singular value curve of system is given, velocity and displacement responses of one location in the plate are drawn, and applied voltages for actuators are given. The simulation solution illustrates the effectiveness of the control method in this paper.