Finite time controller design for single inverted pendulum system

Following the definition of finite time stability, corresponding fundamental theories are given, including qualitative conclusion and application area results regarding finite time stabilization controller design. A detailed description of a class of nonlinear systems is provided. Modeling and linearization problem of single inverted pendulum system are considered. Finally, with the help of linear transformation, finite time stabilization controller for single inverted pendulum system is constructed, followed by relevant simulations.