Feedback Loop

Why is feedback everywhere? Because measuring the output and correcting the error makes a system dramatically more accurate and robust.

Feedback LoopLive

why feedback beats open-loop

Controls

Presets

Loop gain G

Plant drift (%)

Disturbance (%)

Feedback measures the output, compares it to the target, and corrects the difference. High loop gain shrinks both tracking error and the effect of disturbances by a factor of 1+G — which is why feedback control is everywhere, from thermostats to cruise control. Educational tool.

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Data Inspector

Closed-loop gain0.980

Error reduction51×

Disturbance rejected98%

Governing equation

T = \frac{G}{1 + G H} = \frac{50}{1 + 50 \cdot 1} = 0.980

Reading this result: Moderate gain divides both tracking error and disturbance by 1+G = 51×, cutting the 30% open-loop error down to 0.6%.

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How it works

Negative feedback compares the output to the setpoint and drives the difference to zero. High loop gain G reduces both tracking error and disturbance effects by a factor of 1+G, and makes the closed-loop behavior insensitive to plant variations — the reason feedback dominates engineering. Educational tool.

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Frequently asked questions

Is this feedback control loop tool really free?▾

Yes. Feedback Loop runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.

Do I need to install anything?▾

No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.

Can I save or share my simulation?▾

Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.

How accurate are the results?▾

The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.