Control

Energy Shaping

Energy Shaping is a nonlinear control methodology that modifies a system's apparent energy function so the desired behavior becomes a natural minimum of the closed-loop dynamics, with damping injection added to dissipate energy toward it. Formalized in passivity-based control and interconnection-and-damping-assignment (IDA-PBC), it exploits rather than cancels system dynamics. Classic robotic applications include swing-up of underactuated pendulums and compliant manipulation.

Why it matters for physical AI

Controllers with energy-based stability certificates offer the formal guarantees that pure policy networks lack, and they increasingly serve as safe low-level layers underneath learned high-level commands on underactuated hardware.