TSToolSphere

PID Tuning Helper

robotics100% Client-Side

Simulate first-order lag and delay control systems, suggest PID gains using Ziegler-Nichols or Cohen-Coon rules, and plot the step response.

Step-Response Simulation Chart

Live Plot

1. FOPDT Plant Model

Enter the process gain (K), lag time (T), and transport delay (L) representing your plant transfer function:

2. Suggested PID Gains

Suggested Kp:3.2000
Suggested Ki:3.2000
Suggested Kd:0.8000

3. Manual Fine-Tuning

Adjust the controller gains below to optimize settling time, overshoot, and steady-state error:

Proportional Gain (Kp)2.4
Integral Gain (Ki)1.2
Derivative Gain (Kd)0.3
Use the copy button to copy all parameter specifications to your clipboard.
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How to use PID Tuning Helper

  1. 1Enter the plant model parameters: gain (K), time constant (T), and dead time (L).
  2. 2Select your tuning rule (Ziegler-Nichols or Cohen-Coon) and controller type (P, PI, or PID).
  3. 3Click 'Apply Suggested Gains' to load the calculated parameters into the controller.
  4. 4Manually adjust the Kp, Ki, or Kd sliders to optimize settling time and overshoot on the live step response plot.

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About PID Tuning Helper

Tuning PID Loops in Robotics and Automation

PID (Proportional-Integral-Derivative) controllers are widely used to maintain motors, heaters, and robotic arm positions. Finding the correct control gains can be challenging:

  • Proportional (Kp): Reacts to the current error. A higher gain speeds up response but can cause oscillation.
  • Integral (Ki): Corrects steady-state offsets over time. Prevents static errors but increases overshoot.
  • Derivative (Kd): Dampens rate of change to reduce overshoot and settling times.

Ziegler-Nichols vs. Cohen-Coon

This helper calculates starting parameters using two classic open-loop step response methods:

  • Ziegler-Nichols: Simple and aggressive, but can result in highly oscillatory closed-loop responses.
  • Cohen-Coon: Corrects for dead time / lag ratio drift, offering better stability when dead time is small relative to the time constant.

Frequently Asked Questions

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