请问例程里面的PID程序,PID的公式是怎么来的
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def get_pid(self, error, scaler): tnow = millis() dt = tnow - self._last_t output = 0 if self._last_t == 0 or dt > 1000: dt = 0 self.reset_I() self._last_t = tnow delta_time = float(dt) / float(1000) output += error * self._kp if abs(self._kd) > 0 and dt > 0: if isnan(self._last_derivative): derivative = 0 self._last_derivative = 0 else: derivative = (error - self._last_error) / delta_time derivative = self._last_derivative + \ ((delta_time / (self._RC + delta_time)) * \ (derivative - self._last_derivative)) self._last_error = error self._last_derivative = derivative output += self._kd * derivative output *= scaler if abs(self._ki) > 0 and dt > 0: self._integrator += (error * self._ki) * scaler * delta_time if self._integrator < -self._imax: self._integrator = -self._imax elif self._integrator > self._imax: self._integrator = self._imax output += self._integrator return output def reset_I(self): self._integrator = 0 self._last_derivative = float('nan')
为什么D的计算是这样来的
if abs(self._kd) > 0 and dt > 0:
if isnan(self._last_derivative):
derivative = 0
self._last_derivative = 0
else:
derivative = (error - self._last_error) / delta_time
derivative = self._last_derivative +
((delta_time / (self._RC + delta_time)) *
(derivative - self._last_derivative))
I的计算是这样来的:
if abs(self._ki) > 0 and dt > 0:
self._integrator += (error * self._ki) * scaler * delta_time
if self._integrator < -self._imax: self._integrator = -self._imax
elif self._integrator > self._imax: self._integrator = self._imax
output += self._integrator
有人可以帮忙解答下吗?