Global Fixed-Time Output Feedback Stabilization of Perturbed Planar Nonlinear Systems

Abstract

The global fixed-time stabilization of a class of perturbed planar nonlinear systems using output feedback is addressed in this brief. Under a generalized Lipschitz continuous condition, a constructive controller design of global output feedback is proposed based on a continuous fixed-time observer. The bi-limit homogeneity technique is employed to show global fixed-time stability of the closed-loop system. Simulation of a MEMS mirror model illustrates the appealing performance of the proposed method.