A Polynomial Fitting Correction Method for Hysteresis Nonlinearity of Piezoelectric Ceramics

Abstract

The present invention provides a piezoelectric ceramic hysteresis nonlinear polynomial fitting correction method in the field of piezoelectric ceramics, comprising the following steps: step S10, obtaining the rising trajectory curve and falling trajectory curve of piezoelectric ceramics; step S20, creating a correction straight line , and calculate the voltage difference between the rising trajectory curve and the falling trajectory curve and the correction straight line at the same displacement, and create a voltage difference curve according to the voltage difference; step S30, create a polynomial fitting equation according to the voltage difference curve and the correction straight line ; Step S40, correcting the rising trajectory curve and the falling trajectory curve according to the polynomial fitting equation; the present invention also provides a piezoelectric ceramic hysteresis nonlinear polynomial fitting correction system. The invention has the advantages of simplifying the correction process of piezoelectric ceramic hysteresis nonlinearity and improving the correction precision.

Description

technical field [0001] The invention relates to the field of piezoelectric ceramics, in particular to a polynomial fitting correction method for hysteretic nonlinearity of piezoelectric ceramics. Background technique [0002] As a functional material that can convert electrical energy into micro-displacement, piezoelectric ceramics have the advantages of high positioning accuracy, large bandwidth, high displacement resolution, fast response speed, and large output force; piezoelectric ceramic actuators are used as micro-displacement mechanisms. The main drive components are widely used in micro-positioning platforms, microelectronics, precision machining, biomedicine, robotics and aerospace fields. However, the inherent characteristics of piezoelectric ceramics such as hysteresis nonlinearity and creep lead to uncertainty in the output displacement of the micro-displacement system, which directly affects the control accuracy and stability of the micro-displacement system. ...

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Problems solved by technology

[0005] One is mathematical modeling, such as Preisach model, PI model, generalized Bouc-Wen model, Dahl model, and Duhem model, which have a simple structure and principle, can describe asymmetric hysteresis loops well, and its analytic inverse model is easy to find It is widely used, but the implementation form is relatively complicated, and it is difficult to realize online real-time control

[0006] The second is physical modeling, which is mainly based on the establishment of the conversion relationship between energies, such as hysteresis modeling based on neural networks, hysteresis modeling based on support vector machines, and the Jiles-Atherton model describing hysteresis phenomena based on the principle of energy conservation; However, physical modeling has the disadvantage that the transformation between variables is relatively complicated.

[0007] The third is the hysteresis control. On the basis of the hysteresis model, the feedforward inverse compensation control method is used to quickly reduce the hysteresis error. At the same time, in order to reduce the influence of various disturbances under the open-loop inverse compensation, a PID feedback compound control, robust control, adaptive control, intelligent control, etc.; but hysteresis control has the disadvantage of complex calculation method of feedforward and inverse compensation

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