Introduction to Robotics
Explainer
PID control: the P, I and D explained
One formula steers most of the world's robot joints. Meet PID.
Quick check · tap an answer to continue
Lesson notes
Key points
- A PID controller computes its motor command from the error, which is the target value minus the measured value.
- The proportional term pushes harder when the error is large, but alone it often leaves a small steady-state error.
- The integral term adds up past error over time, so it keeps increasing output until that leftover error is removed.
- The derivative term reacts to how fast the error changes, damping the motion so the joint overshoots and oscillates less.
Definitions
- Steady-state error
- The error that remains after the system settles, when a constant correction is still needed.
Takeaway: P reacts to now, I to the past, D to the trend of the error.
Quick check: Which PID term eliminates a small error that stays after settling?
- Proportional term
- Derivative term
- Integral term
The integral accumulates persistent error and raises output until it vanishes.
ErrorProportionalIntegralDerivative
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