Inverted Pendulum

An inverted pendulum is a system where a pole or rod is balanced vertically on a movable base, like a cart or a finger. It’s inherently unstable, meaning it tends to fall over unless actively kept upright. To maintain balance, sophisticated control mechanisms continuously adjust the base’s position or movement in response to the pole’s tilt. This concept is fundamental in fields like robotics, control systems, and engineering, illustrating how dynamic feedback can stabilize systems that are naturally unbalanced. It demonstrates the principles of balancing and control in a clear, practical way.