Modeling method of asymmetric hysteresis model

Abstract

The invention discloses a modeling method of an asymmetric hysteresis model, and relates to the field of parameter identification and compensation of a hysteresis nonlinear model. The problem that inthe prior art, the depicting degree of the actual asymmetric hysteresis characteristic is not ideal enough, and the approximation degree of the depicted actual asymmetric hysteresis characteristic islow is solved. The method comprises the following steps: firstly, identifying a symmetric hysteresis model through an input voltage vector X and an output displacement vector Y, and then identifying anonlinear correction curve h (x) according to the input voltage vector X, the output displacement vector Y, a rising curve f (x) of the symmetric hysteresis model and a falling curve g (x) of the symmetric hysteresis model; and finally, correcting the symmetric hysteresis model through the nonlinear correction curve h (x), thereby obtaining an asymmetric hysteresis model, and completing the establishment of the asymmetric hysteresis model. The method is mainly used for describing the asymmetric hysteresis characteristic of the piezoelectric ceramic.

Description

technical field [0001] The invention relates to the field of parameter identification and compensation of hysteresis nonlinear models. Background technique [0002] There are asymmetric hysteresis characteristics in smart materials such as piezoelectric ceramics and shape memory alloys, that is, a complex multi-valued relationship between the input voltage and the elongation of smart materials. This property limits piezoelectric ceramics in practical applications. , shape memory alloys and other material properties. Taking piezoelectric ceramics as an example, this asymmetric hysteresis is manifested when the piezoelectric ceramics are added such as figure 1 (The abscissa is the sampling time, and the ordinate is the input voltage) When the triangular wave input voltage is shown, the relationship between the output displacement and time of the piezoelectric ceramic is as follows figure 2 (The abscissa is the sampling time, and the ordinate is the output displacement). ac...

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Problems solved by technology

[0004] The purpose of the present invention is to solve the problem that the description degree of the actual asymmetric hysteresis characteristics in the prior art is not ideal enough, so that the approximation degree of the actual asymmetric hysteresis characteristics described is low. Therefore, the present invention provides a modeling of an asymmetric hysteresis model method for highly accurate characterization of practical asymmetric hysteresis characteristics

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