基于双重积分模型抗扰控制的压电薄壁结构振动控制  

Vibration Control of Piezoelectric Integrated Thin-Walled Structures Using Disturbance Rejection Control with Double Integral Model

作　　者：张晓宇[1] 王润孝[1] 王战玺[1] 张顺琦[1,2] 秦现生[1] 谭小群[1] Zhang Xiaoyu Wang Runxiao Wang Zhanxi Zhang Shunqi Qin Xiansheng Tan Xiaoqun(2.School of Mechanical Engineering, Northwestern Polytechnical University, Xi＇an 710072, China State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China)

机构地区：[1]西北工业大学机电学院,陕西西安710072 [2]南京航空航天大学机械结构力学及控制国家重点实验室,江苏南京210016

出　　处：《西北工业大学学报》2017年第1期82-89,共8页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(51505380;51475373;51375390);南京航空航天大学机械结构力学及控制国家重点实验室开放基金(MCMS-0517G01)资助

摘　　要：针对扰动频率未知或随机变化的情况下的压电智能结构振动控制,提出并开发了一种双重积分模型抗扰控制算法并将其用于压电层合梁的振动控制。首先建立了双重积分状态空间模型并将外力扰动、系统非线性部分、建模误差等物理扰动和部分系统状态变量归纳于广义扰动。其次借助于双重积分模型的特殊结构,对系统进行解耦并应用极点配置法设计了具有快速收敛速度的PI观测器和抗扰控制器。该PI观测器能够快速准确地观测广义扰动和系统状态变量并通过抗扰控制器将其反馈至系统以控制振动。最后通过对具有并列压电致动器和传感器的智能悬臂梁的振动控制仿真验证了这种双重积分模型的抗扰控制算法,并与使用GPI观测器的抗扰控制算法的控制效果进行了比较。结果表明:该双重积分模型抗扰控制算法能够有效地控制由频率未知或者随机变化的扰动引起的振动,且其振动控制性能优于使用GPI观测器的抗扰控制算法。Aiming at vibration control of piezoelectric smart structures known or varying randomly, a disturbance rejection control with double excited by disturbances with frequencies un- integral model is proposed and developed in this paper. Firstly a double integral state space model of the system is built, and in the meantime, part of system state variables and physical disturbances including external forces, system nonlinearities, modelling errors were summarized as generalized disturbances. Secondly the system is easily decoupled as a result of the advantage of the specific double integral structure, then a proportional integral （PI） observer and a disturbance rejection controller both with fast converging speed are designed. Generalized disturbances are observed accurately and rapidly by the PI observer and fed back to the system through the disturbance rejection controller to control vibrations. Lastly the disturbance rejection control with double integral model is validated through simulations of vibration control of canti- levered smart beam with collocated piezoelectric actuator and sensor. Furthermore, disturbance rejection control with GPI observer is also implemented in the simulations and comparisons are made between the two controllers. The results illustrate that the disturbance rejection control with double integral model is able to effectively control vibrations caused by disturbances with frequencies unknown or varying randomly, and the vibration control performance of it is better than that of the disturbance rejection control with GPI observer.

关 键 词：抗扰 控制器 智能结构 振动控制 压电致动器 

分 类 号：TB53[理学—物理] TP13[理学—声学]