PNNL

Abstract

A continuous output feedback control scheme rendering the closed-loop double integrator system globally stable in finite-time is presented. In particular, the settling time is independent of initial conditions. The bi-limit homogeneous technique is used for controller and observer designs with fixed-time convergence. Some classic algorithms, such as twisting, super-twisting and its modified versions, can be recovered from the proposed controller and observer with specified parameters. Then, a continuous output feedback control law is proposed for nominal double-integrator system and its perturbed version. The homogeneity and Lyapunov techniques are provided to ensure the fixed-time stability of the closed-loop system under the constructed output feedback control laws. Finally, the efficiency of the proposed methods are illustrated by numerical simulations.