Design And Realization Of Vibration Suppression Of Piezoelectric Structure With Shunt And Composite Sliding Mode Controller

The problem of structural vibration is widely present in various modern engineering fields and significantly affects the performance of structures,which can easily lead to issues related to safety,comfort,and accuracy.Therefore,the effective method of structural vibration problems in modern engineering has become increasingly urgent.Piezoelectric structure is a kind of smart structure in which piezoelectric actuators and sensors made of piezoelectric materials are embedded in the structural matrix without changing the structural matrix.This type of piezoelectric structure has excellent electromechanical coupling characteristics,is lightweight,and has high stiffness,making it one of the widely studied structures in vibration control.However,piezoelectric structures face significant challenges in vibration control due to issues such as uncertain system modeling,high-order harmonics,and external disturbances.These problems pose significant challenges to the active control of structural vibration.Therefore,how to find a control method to effectively reduce the vibration control of piezoelectric structures in the actual process has become one of the main topics for researchers.In this paper,considering the vibration problem of piezoelectric structures,shunt control technology and composite sliding mode anti-disturbance control technology are used to improve the vibration suppression performance of piezoelectric structures.The main research work and innovation points are as follows:Firstly,the mathematical model is established by combining the piezoelectric constitutive equation and the basic principle of structural vibration to provide a basis for subsequent method design and platform function verification.Through MATLAB simulation and laser vibrometer experiment,the modal analysis of the piezoelectric cantilever beam and the all-clamped plate is completed,and the position layout design of the actuator and sensor of the control system is optimized.Then,based on the mathematical model of the piezoelectric structure,a theoretical model of the shunt control system is established.A new kind of shunt control technology is designed using negative impedance technology,and the system parameters are optimized using transfer function optimization.The performance of vibration control system is preliminarily verified through simulation software.Two experimental verification platforms,including a vibration signal acquisition and analysis system based on the STM32 controller and another based on NIDAQ are designed.Experimental comparisons between the improved piezoelectric shunt control technology and traditional piezoelectric shunt technology are used to verify the correctness and effectiveness of the improved piezoelectric shunt vibration control.Considering the limited problem of shunt vibration control,the vibration active control method is considered,and the sliding mode control algorithm is introduced.In order to facilitate the design of sliding mode vibration control,the mathematical model of the system is derived into a state space model based on error.The feasibility and effectiveness of sliding mode vibration controller is proved through simulations and experiments.In addition,considering the model error of the piezoelectric fixed plate vibration system,external excitation and other disturbance problems,as well as the chattering problem in the traditional sliding mode control process,the active disturbance rejection control algorithm is introduced.The extended state observer is used to estimate and compensate the total disturbance of the system.The sliding mode feedback controller based on the extended state observer to addressed the vibration problem of the piezoelectric all-clamped plate.The composite control strategy is verified by simulations and experiments feasibility and superiority.Considering the limited calculation of the controller in actual control,a composite sliding mode controller based on the reduced-order extended state observer is designed.The control performance verification is completed based on simulations and experiments.Finally,the finite time convergence problem of traditional sliding mode control and the modal coupling problem existing in the piezoelectric structure,nonsingular terminal sliding mode control is introduced to solve the finite time convergence problem.In addition,the idea of total disturbance is used to addressed the coupling effect between the modes.A nonsingular terminal compound sliding mode control based on the extended state observer is proposed,and the vibration control of each mode is independently processed.The feasibility and superiority of its control are proved through the vibration control experiments under various excitation conditions.