一种基于压电堆执行器的柔性结构滞后补偿PID控制  

Lag-compensation PID Control for a Flexible Structure with Piezoelectric Stack Actuators

作　　者：赖俊杰 浮洁[1] 李沛东[1] 白俊峰 余淼[1] LAI Junjie;FU Jie;LI Peidong;BAI Junfeng;YU Miao(Key Lab for Optoelectronic Technology and Systems,Ministry of Education,College of Optoelectronic Engineering,Chongqing University,Chongqing 400044,China)

机构地区：[1]重庆大学光电工程学院光电技术及系统教育部重点实验室,重庆400044

出　　处：《噪声与振动控制》2018年第2期30-35,共6页Noise and Vibration Control

摘　　要：采用压电叠堆执行器和PID控制相结合方法解决柔性结构振动问题。提出相位补偿和分频控制相结合的方法分别解决柔性结构中存在的相位滞后和多频激励问题。首先通过有限元分析方法对柔性梁结构进行理论模态分析,并搭建实验系统进行验证,确定系统的主导模态。然后对系统延时进行理论分析,通过实验辨识出激励频率与滞后补偿的函数关系。最后设计基于滞后补偿的分频PID控制器,通过实验验证多频振动激励条件下所设计控制器的振动控制效果。结果表明所设计的滞后补偿PID控制器对相位滞后有较好补偿效果,最大振动衰减可达45%。Piezoelectric stack actuators and PID controllers are exploited to suppress the vibration of the flexible beams under multi-frequency excitations.Meanwhile,the phase-lag compensator and frequency division method are applied to solve the issues of phase-lag and multi-frequency excitation for the flexible beams.First of all,the modal frequencies and shapes of the flexible beam are obtained by FEA method and verified by experimental test.And the relationship between the excitation frequency and the phase-lag is identified by experiments.Then,the active frequency-division-based PID controller with the phase compensator is designed to attenuate the multi-frequency vibrations of the flexible beam.Finally,the performance of the proposed controller is investigated and specifically,the acceleration responses of the controlled beam under multi-frequency excitation are evaluated.The results show that the maximum attenuation of acceleration root mean square(RMS)is about 45%,which indicates that the designed PID controller is effective.

关 键 词：振动与波 柔性结构 延时 PID控制器 滞后补偿 模态分析 

分 类 号：TB535[理学—物理]