PID Controller Simulator

Tune Kp, Ki, and Kd to see step response behavior

Setpoint

Time (s)

PID Formula

Error	e(t) = setpoint - output
Control output	u(t) = Kp e + Ki integral(e) + Kd de/dt
Goal	reduce error with stable response

Tuning Rules

Increase Kp to make the response faster, but watch for overshoot.
Increase Ki to remove steady-state error, but too much can cause oscillation.
Increase Kd to damp fast changes and reduce overshoot.
Real systems may need output limits, noise filtering, and anti-windup protection.

This simulator uses a simplified first-order plant model. It is intended for learning PID behavior, not replacing hardware testing.

Frequently Asked Questions

What is a PID controller?▼

A PID controller uses proportional, integral, and derivative terms to reduce error between a setpoint and a measured output.

What does proportional gain do?▼

Proportional gain reacts to current error. Higher Kp usually speeds up response but can increase overshoot.

What does integral gain do?▼

Integral gain reacts to accumulated error and helps remove steady-state error.

What does derivative gain do?▼

Derivative gain reacts to the rate of error change and can reduce overshoot or oscillation.

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