A Control Method of Brushless DC Motor Based on Arx Model and Pi Prediction Function
A technology of DC motor and prediction function, applied in motor generator control, electronic commutation motor control, control system and other directions, can solve problems such as poor control performance
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[0052] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:
[0053] 1. The derivation steps of PI prediction function are as follows:
[0054] (1) Prediction model
[0055] The predictive model is based on the extended autoregressive model (ARX model):
[0056] A(z -1 )y(k)=B(z -1 )u(k-1)+ξ(k)(2)
[0057] Among them, A(z -1 )=1+a 1 z -1 +…+a na z -na , B(z -1 )=1+b 1 z -1 +…+b nb z -nb , A(z -1 ), B(z -1 ) is about the translation operator z -1 polynomial, a, b are A(z -1 ), B(z -1 ) about the translation operator z -1 The coefficients of , the subscripts na and nb are the input and output orders respectively, ξ(k) is zero mean, and the variance is σ 2 system noise interference, u(k-1) is the input voltage at time k-1, and y(k) is the output speed at time k.
[0058] It is difficult to directly calculate the output of the prediction model, so the Diophantine equation is introduced, which...
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