Inverted pendulum control, swing up and reference tracking (PID and LQR)

Swing-up and balancing control of an inverted pendulum mechanism

A Very Easy Inverted Pendulum: (1) Demonstration 倒立振子の動作デモ

A triple inverted pendulum is one of the most challenging problems in control engineering. In this setup, the system transitions through all eight equilibrium points while remaining stable the entire time. The controller operates in real time with a 1 millisecond sampling loop, constantly making tiny adjustments to keep the system balanced during each transition. What you’re seeing is control theory applied in the real world. Thousands of precise corrections per second keeping an unstable system

Simulating my rotary inverted pendulum in mujoco