Research On Deformation Control Of Piezoelectric Cantilever Beam

In recent years,both civil and military aviation have expected aircraft to perform a variety of missions under changing flight conditions,and the concept of "morphing aircraft" has also been presented.Changing the airfoil curvature of the aircraft wing can prevent the wingtip stalling effect and change the span wise lift distribution,which is of great significance to improve the flight performance of the aircraft.During the execution of the flight mission,the precise deformation of the wing is the key to the application of the morphing wing technology.Therefore,it is of great value to study the deformation control problem of the morphing wing.So,this paper will simplify the wing model to cantilever beam structure and deeply study its deformation control method.In this paper,a cantilever actuated by piezoelectric fiber composite is used as the research object.The whole system has hysteresis characteristics,creep characteristics and vibration characteristics and these nonlinear factors not only make it more difficult to establish the system model but also deteriorate the system control accuracy.This paper analyzes the characteristics of the system from the aspects of open-loop control and closed-loop control respectively,establishes the system model and designs the control algorithm.Based on the open-loop control strategy,this paper uses the Modified Prandtl-Ishlinskii(MPI)model to establish the mathematical model of the hysteresis nonlinearity and solve its inverse model.The logarithmic model is used for creep modeling and compensation control,and the input shaping technique is used to suppress vibration.In this paper,the dynamic model of the cantilever beam system is identified based on the ARX model,and the closed-loop controller is designed by using H? robust control theory.In order to realize the fast tracking of dynamic signals,this paper designs a two-degree-of-freedom robust controller based on feedforward-feedback control theory for piezoelectric cantilever beam system.In this paper,a time-sharing control method is proposed to realize accurate deformation control of dual-input single-output piezoelectric cantilever beam system.In order to analyze the effectiveness of the proposed control algorithm,this paper uses MATLAB software to carry out a lot of simulation verifications.Finally,this paper sets up a piezoelectric cantilever beam control system and uses LabVIEW software to compile the related control algorithm experimental procedure to verify the actual control effect of the proposed control algorithm.The experimental results show that the open-loop control algorithm has good control effect and the control error is controlled within 6%,but the open-loop control can't suppress the external disturbance.The designed single-degree-of-freedom robust controller can realize fast response and effectively suppress the external disturbance.The adjustment time is 0.8s,overshoot is 3% and steady-state error is less than 5%.The system can be stabilized within 0.5s when subjected to disturbance and the control effect is superior to the traditional PID controller.The designed two-degree-of-freedom robust controller can realize fast,real-time tracking and the control error is within 8%.For the constructed dual-input single-output system,the designed time-sharing control method can realize the fast tracking of the dynamic signal and the tracking error is relatively small,which satisfies the control performance requirement.