Continuous fixed-time control for cart inverted pendulum stabilization

This paper presents a novel continuous fixed-time convergent control algorithm applied to the cart inverted pendulum stabilization problem in the presence of unbounded disturbances. A continuous fixed-time convergent control is designed to drive the cart inverted pendulum states to the origin for a finite pre-established (fixed) time using a scalar input. The fixed-time convergence is established and the uniform upper bound of the settling time is computed.