并置压电传感/作动器的最优配置及反馈增益研究

Optimal Position and Feedback Gains of Collocated Sensor/PZT Actuator

提出了一种改进的模拟退火算法,对应用离散分布压电智能传感/作动器进行柔性结构振动控制的一体化全局最优配置问题作了研究。首先,给出了压电陶瓷作动器对结构产生激励的频响函数;其次,对并置的直接速度反馈控制方法,以主动控制后系统所贮存的总能量为目标函数,对压电陶瓷作动器的安放位置及反馈增益,以改进的模拟退火算法进行优化,可方便地获得全局最优解;最后以悬臂梁为例,分别给出了单点并置问题和多点并置问题的最优配置,验证了该方法的有效性。

This paper presents a theoretical analysis of the application of piezoceramic transducers to cantilever beams vibration control. First, the frequency response function(FRF) of PZT actuators is derived and written in the conventional modal form. Second, the collocated direct velocity feedback design (CDVFB) is made, which allows integrated determination of PZT actuator/sensor locations and feedback gain via minimization of an energy stored in the system. Third, the simulated annealing optimal method is developed to get the global optimal values. Finally, the application of this method to a simple fiexible beam confirms the direction relationship between the optimization criterion and effectiveness in vibration control.