压电智能悬臂梁主动振动最优控制研究  

On the Optimal Control of Active Vibration of a Smart Piezoelectric Cantilever Beam

作　　者：陈震[1] 薛定宇[1] 郝丽娜[1] 徐心和[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2010年第11期1550-1553,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60675050);辽宁省博士启动基金资助项目(20061017)

摘　　要：以压电智能材料聚偏氟乙烯(PVDF)作感知和离子交换膜金属聚合物(IPMC)作驱动的悬臂梁为研究对象,建立了智能悬臂梁的压电传感和致动方程.并通过模态分析法变换为基于闭环控制系统的状态空间方程,设计了压电智能梁的振动控制系统.将遗传算法和线性二次型最优控制相结合,采用遗传算法设计Q,R阵,以获取状态反馈控制律,研究了压电智能梁的振动的最优控制问题.仿真实验结果证明。The cantilever beam which is made from the smart piezoelectric material PVDF as sensor and IPMC as actuator was investigated,with the sensoring and actuating equation both given relevantly. Then,they were transformed into the state space equations via modal analysis,thus designing a vibration control system for the smart piezoelectric cantilever beam. Combining the genetic algorithm with LQR optimal control to design the weighted matrices Q and R,the control ratio of state feedback can be obtained so as to investigate the optimal control of the active vibration of a smart piezoelectric cantilever beam. Simulation results verified that the control system is good for vibration abatement.

关 键 词：微力传感器 智能悬臂梁 振动控制 遗传算法 最优控制 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置]