含压电片层合板的LQR振动主动控制  

LQR-based Active Vibration Control for Laminated Plate Containing Piezo-electric Patching

作　　者：缑新科[1] 付兆祥[1] 

机构地区：[1]兰州理工大学电气工程与信息工程学院,甘肃兰州730050

出　　处：《自动化仪表》2009年第8期17-18,21,共3页Process Automation Instrumentation

基　　金：甘肃省自然科学基金资助项目(编号:3ZS051-A25-033)。

摘　　要：对采用不同材料的压电传感器的层合板进行了研究,并探讨了该层合板的振动主动控制问题。从位移函数出发,结合Ham i-tom原理进行有限元分析、建模,推导出运动方程;同时基于控制目标函数的LQR控制方法,利用Matlab系统仿真,演示了悬臂薄板随时间变化在有无控制时的一二阶响应曲线。对响应曲线的分析结果表明,该方法能有效控制层合板的振动,达到了层合板振动主动控制与抑制的研究目的。For laminated plate containing piezo-electric patching, by adopting many kinds of piezo-electric materials as sensors and actuators, the topic of active vibration control for laminated plate containing piezo-electric patching is researched. From the displacement function, combining with Hamitom principle, finite element analysis and modeling are conducted and the motion equation is derived; based on control objective function of LQR method, by adopting Matlab system simulation, the first order and second order response curves of cantilever thin plate vs. time with and without control are demonstrated. Through analysis of response curves, the result proves that the method can effectively control, vibration of the laminated plate to reach the research purpose of active vibration control and suppression for laminated plate.

关 键 词：最优控制 LQR法 控制理论 振动主动控制 传感器 反馈 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]