Research On Hysteresis Compensation Algorithm Of Piezoelectric Ceramics Based Hysteresis Loop Symmetry

Piezoelectric ceramics,as a new micro-positioning application,can be realized by many functions that cannot be realized by traditional driving methods.Long life,fast response,high position resolution,and no electromagnetic interference make piezoelectric ceramics widely used in high-speed and high-precision positioning systems.However,due to the inherent nonlinear effect of piezoelectric ceramics,there is a hysteresis between the input voltage and the output position,which has a great influence on the control of the piezoelectric ceramic.In view of the above problems,this paper mainly studies how to describe the hysteresis phenomenon of piezoelectric ceramics and compensate the hysteresis phenomenon of piezoelectric ceramics.Firstly,a hysteresis modeling algorithm based on the central symmetry of hysteresis loop is proposed.The four laws satisfied by hysteresis are introduced,and the concept of center symmetry is introduced.It is proved that the Maxwell model and the PI model satisfy the central symmetry.Simplifying the formula by derivation,the hysteresis compensation value can be obtained simply by looking up the table,and the memory of the hysteresis is reflected in the recording of the inflection point,thereby greatly reducing the amount of calculation.Secondly,an inverse algorithm for hysteretic modeling based on the hysteresis loop center symmetry is proposed.The role of the inverse algorithm is described and the compensation principle and compensating essence of the inverse modeling algorithm based on the hysteresis loop center symmetry are introduced.The polynomial fitting method is used to discretize the reference curve in the inverse algorithm and is based on the hysteresis.The key points in the inverse algorithm of hysteresis modeling for ring center symmetry are described.Third,in order to verify the effectiveness of the algorithm in hysteresis prediction under the following three conditions: single hysteresis prediction,hysteresis prediction of primary and secondary loops,and hysteretic prediction under the condition of memory characteristics,the inverse algorithm is used for single hysteresis compensation.The effectiveness of the hysteresis compensation in the three cases of hysteresis loop compensation and hysteresis compensation with memory characteristics.This paper focuses on how to describe the hysteresis phenomenon of piezoelectric ceramics and compensate for the hysteresis phenomenon of piezoelectric ceramics,and proposes a novel algorithm,taking the symmetry of the rising curve and the descending curve as the entry point,and recording the inflection point and inflection point.Corresponding function values allow quick calculation of output displacement.The experiment verifies the advantage of the algorithm's small amount of calculation and fast calculation speed.Referring to the PI model inverse model,an inverse compensation algorithm is proposed.The experimental results show that the inverse algorithm improves the tracking accuracy of the piezoelectric ceramic driver.