A—L INDEPENDENT STUDY  /  2026 ABOUT THE MODEL ↘

INTERACTIVE STUDY  01

Balance is
a moving
target.

A closed-loop balance study: a PD controller senses leg angle and applies virtual ankle torque while periodic disturbances nudge the body off center.

EXPLORE THE MODEL ↓
REFERENCE MODELMABEL / LEG PARTS
LOADING MABEL STL COMPONENTS…
ACTUAL STL CAD · EXPLODED PARTSMABEL SOURCE ↗

01 — THE PLAYGROUND

Try to stay
upright.

Set an initial lean, vary controller gain, then watch the controller resist disturbances and recover toward upright.

STABLE · CENTERED
INVERTED PENDULUM + PD CONTROL ⓘ
+0.5 m0−0.5 m
COM
STEP
CENTER OF MASS SUPPORT FOOT
x = 0.00 m
0°
← BACKFORWARD →
1.0×
SLOWQUICK
LIVE COM OFFSET0.00 m

Educational linear inverted-pendulum approximation with PD feedback; virtual torque is applied about the ankle. Not a rigid-body/contact simulation.

MODEL STATEThe controller is holding near upright.VISUAL FRAME 000

02 — READ THE MODEL

Useful to explore.
Honest by design.

A

What you’re seeing

The browser model integrates θ̈ = (g/h)θ − Kpθ − Kdθ̇ + d, with h = 0.82 m, g = 9.81 m/s², and a bounded support interval. Kp = 18 + 9g (where g is the gain slider), Kd = 6.8, and the support interval are illustrative assumptions.

B

What it leaves out

This is a single-link linearized model with a PD controller and synthetic external disturbances. It does not solve a multi-link leg, foot-ground contact, actuator saturation, or a walking gait; it is not PyBullet/MuJoCo.

C

Reference hardware

MABEL publishes articulated-leg CAD/print parts as a reference. This page does not reproduce MABEL geometry or claim that its hardware is Anushka’s design. The repository lists GPL-3.0; model source and terms are linked here.