Global Fixed-Time Output Feedback Stabilization for a Class of Double Integrator Systems

This brief deals with the problem of fixed-time output feedback stabilization for a class of stable double integrator systems. A simple output feedback nonlinear proportional-derivative (PD) control is proposed. Lyapunov stability theory and bi-limit homogeneity technique are employed to show global fixed-time stability, i.e., there exists a convergence time that is uniformly bounded a priori and such a bound is independent of the initial states. The appealing feature of the proposed control is that it is fairly easy to construct with intuitive structure and can ensure global fixed-time stability by output feedback. Simulations illustrate the improved performance of the proposed approach.