Dynamic Control of Inverted Pendulums

Inverted Pendulums are a unique system in dynamics and engineering. Inherently unstable, the center of mass is above the pivot point and without added controls the system will topple. However, despite their instability we see inverted pendulums play important roles in advanced engineering systems such as rocket boosters and motor vehicles. The controls for the systems are just as important as the systems themselves as any failure could lead to catastrophic damage.