Mr. Integral

MR. INTEGRAL / THE NOTEBOOK

Control systems,
made visible.

Follow the path from an equation to a moving system. Visual notes, careful examples, and tools that let you test the idea yourself.

FREE INTERACTIVE TOOL

Root Locus Lab ↗

Draw a root locus one step at a time. Understand each rule, inspect the angle geometry, and check what the complete system actually does.

10 construction stages · Custom systems · Response checks · Exports
1 + K L₀(s) = 0Predict. Reveal. Verify.

Start with the question.

  1. Why does gain change the motion?

    Read a pole as a decaying, growing, or oscillating mode.

  2. Why does the locus take this path?

    Derive the construction from the angle and magnitude conditions.

  3. Does the controller meet the target?

    Check the complete response, including every pole and zero.

The lab runs in your browser. No account or payment required.