基于LQG最优控制法的压电智能结构独立模态空间控制

采用压电材料作为传感器和驱动器对智能结构振动主动控制进行研究,基于机电耦合的压电智能结构传感和驱动方程,将振动控制动力学方程变换到模态空间对方程进行解耦。通过计算结构最大应变,确定压电元件的最佳粘贴位置。考虑到系统过程噪声和量测噪声的影响,设计Kalman滤波器,采用基于线性二次型高斯(LQG)最优控制的独立模态空间控制方法对压电智能结构的振动进行控制。最后以压电智能悬臂梁为例进行控制仿真,验证了此方法的有效性。

The independent modal space control of piezoelectric intelligent structures based on LQG optimal control method

The active vibration control for intelligent structures are studied by using piezoelectric materials as sensors and actuators in this paper, based on the mechanical-electrical coupling equations of sensors/actuators, the vibration control dynamics equations are decoupled through converting them into the modal space form. The optimal collocated position of piezoelectric element is determined through the calculation of the maximal stress. Considering the influence of the process noise and measurement noise to the dynamics characteristic of the structures, a Kalman filter is designed, and adopts the independent modal space control method which based on the Linear Quadratic Gauss (LQG) optimal control to suppress the vibration of the piezoelectric intelligent structures. Finally, the paper takes a piezoelectric intelligent cantilever beam as an example and gives the controlled simulation curve, the results show the effectivity of the method in this paper.