Rate-dependent hysteresis modeling method for piezoelectric actuator
A piezoelectric driver and hysteresis modeling technology, applied in the fields of instruments, electrical digital data processing, special data processing applications, etc., can solve the problem of inability to respond to the characteristics of the hysteresis rate, and achieve the convenience of controller design, high fitting accuracy, The effect of fewer model parameters
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[0030] The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments.
[0031] A method for modeling rate-dependent hysteresis of a piezoelectric driver, comprising the following steps:
[0032] Step 1. Based on the Bouc-Wen model, the Bouc-Wen model is improved by introducing a rotation factor and a rate-dependent amplification factor so that it can reflect the rate-dependent characteristics of nonlinear hysteresis, and a second-order system is used to further describe it to obtain the rate-dependent hysteresis model;
[0033] The mathematical expression of the described rate-dependent hysteresis model is:
[0034]
[0035] Among them: u is the input voltage of the power amplifier, h is the operator of the Bouc-Wen model, α, β, γ are the shape control parameters of the hysteresis loop, which belong to the static parameters of the rate-dependent hysteresis model, k w is the rate-dependent amplification factor...
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