Added note on derivative-on-measurement.
If you want to use derivative-on-measurement, you will need to negate the 'D'-gain you would typically use in a 'standard derivative-on-error' PID controller - I did not mention that in the video. Since the 'error signal' effectively going into the differentiator does not depend on the setpoint: e[n] = 0 - measurement, and therefore (e[n] - e[n - 1]) = (0 - measurement) - (0 - prevMeasurement) = -Kd * (measurement - prevMeasurement). So, for example, if you require a controller with a D-gain of 10, you would set pid->Kd = -10. This is a slight quirk of the derivative-on-measurement form - however, the code can of course be adapted to include the minus sign.
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2
PID.h
2
PID.h
@@ -6,7 +6,7 @@ typedef struct {
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/* Controller gains */
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float Kp;
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float Ki;
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float Kd;
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float Kd; /* Note: since using derivative-on-measurement, Kd needs to be negative (in contrast to conventional 'derivative-on'error') */
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/* Derivative low-pass filter time constant */
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float tau;
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@@ -24,7 +24,7 @@ float TestSystem_Update(float inp);
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int main()
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{
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/* Initialise PID controller */
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PIDController pid = { PID_KP, PID_KI, PID_KD,
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PIDController pid = { PID_KP, PID_KI, -PID_KD,
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PID_TAU,
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PID_LIM_MIN, PID_LIM_MAX,
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SAMPLE_TIME_S };
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