How do I simulate a delivery bot?

Open this page and use the live Root Locus tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a delivery bot from your own measurements.

Use case · powered by Root Locus

Root Locus for a delivery bot

Simulate a delivery bot live in your browser. This runs the real Root Locus solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Root LocusLive

how poles move with gain

Controls

Presets

Second pole −p₂

Loop gain K

The root locus traces where a system's closed-loop poles travel as feedback gain increases. Poles in the left half-plane mean stability; as gain rises they migrate toward the imaginary axis, and crossing it triggers oscillation. Educational tool.

▶ Run in Python

Data Inspector

Closed-loop poles-2.00, real

Dampingoverdamped

Stabilitystable ✓

Governing equation

1 + \frac{K}{s ( s + p _{2} )} = 0 \Rightarrow s^{2} + 4 s + 3 = 0

Reading this result: Gain K=3 sits below the breakaway value, so both closed-loop poles stay real and negative near -2.00 — the response is overdamped with no oscillation.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Root Locus tool models a delivery bot with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Root Locus

Root Locus for a robot arm Root Locus for a self-driving car Root Locus for a warehouse robot Root Locus for a drone delivery Root Locus for a walking robot Root Locus for a robotic gripper Root Locus for a CNC toolpath Root Locus for a quadruped

Other ways to simulate a delivery bot

Forward Kinematics for a delivery bot Inverse Kinematics for a delivery bot Differential Drive for a delivery bot Cart-Pole Balance for a delivery bot Quadcopter Control for a delivery bot RRT Path Planning for a delivery bot

Frequently asked questions

How do I simulate a delivery bot?: Open this page and use the live Root Locus tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a delivery bot from your own measurements.