Active Vibration Control Of An All-clamped Plate With An Inertial Actuator

Vibration is a common phenomenon in daily life.It is also accompanied by vibration during the operation of the car,such as vibration caused by uneven road surface and air flow,and vibration caused by engine operation.These vibrations will not only affect ride comfort,but also the lifespan of the car,and may even have adverse effects on human health.Therefore,this paper selects the commonly used clamped plate structure in automobiles as the research object,and conducts theoretical research and experimental verification based on inertial actuator combined with PID control and active disturbance rejection control（ADRC）.The main work and innovations of this paper include the following:Firstly,this thesis introduced PID control and ADRC,the basic principles of PID control and ADRC are introduced,the transfer functions of P,I,D and PID control are proposed,the third-order linear ADRC is designed,the third-order linear extended state observer is established,and the transfer function of the third-order linear ADRC is obtained.Secondly,the inertial actuator is introduced,the motion equation of the inertial actuator is established,and the dynamic characteristics of the inertial actuator are analyzed to obtain the working range of the inertial actuator:the natural frequency of the controlled object should be greater than its own natural frequency.A single-degree-of-freedom system is established,and the stability and control effect of the single-degree-of-freedom system under PID control and active disturbance rejection control are analyzed under the action of inertial actuators.The results show that the dynamic characteristics of inertial actuator reduce the stability of the system;The control effect of PID control is better than that of P,I and D control;ADRC has good control effect,and the increased value or reduced value can play a better control effect.Thirdly,the mathematical model of the all-clamped plates is established to obtain the vibration differential equation,and the state space equation of the clamped plate is obtained by the modal analysis method.On the basis of studying the active vibration control of single-degree-of-freedom system,the first five-order of the clamped plate are taken for research,and the arrangement position of sensors and actuators is optimized according to the response of the system in the Bode diagram.The stability and control effect of the clamped plate under the PID control and the active disturbance rejection control with the inertial actuator are analyzed.The results show that the inertial actuator is feasible for the vibration control of the clamped plate,and the PID control and the ADRC can have good control effect.The LQR optimal control law based on vibration energy is used to calculate the optimal feedback control coefficient,and the simulation analysis of four fixed plates shows that the LESO designed in this paper meets the application requirements.Finally,in order to verify the accuracy of theoretical analysis,an experimental platform for active vibration control of the all-clamped plate is built to verify the control effect of clamped plates under PID and ADRC respectively,and to verify the control performance of each parameter of the ADRC controller.The final experimental results are consistent with the previous theoretical analysis.