Global Finite-Time Stabilization of Planar Linear Systems With Actuator Saturation

This brief addresses the problem of global finite-time stabilization of planar linear systems subject to actuator saturation. A simple saturated proportional-derivative controller is proposed. Lyapunov stability theory and geometric homogeneity technique are employed to show global finite-time stability. The appealing features of the proposed control include the very simple structure and intuitive construction that involves only a single saturation function and the ability to ensure global finite-time stabilization and actuator saturation is not violated. The proposed control actually provides an easy solution for high-quality stabilization of a large class of planar systems in the presence of actuator saturation.