Output Feedback Stabilization of High-Order Nonlinear Time-Delay Systems With Low-Order and High-Order Nonlinearities

Abstract

This letter deals with the output feedback stabilization of a class of high-order nonlinear time-delay systems with more general low-order and high-order nonlinearities. By constructing reduced-order observer, based on homogeneous domination theory together with the adding a power integrator method, an output feedback controller is developed guarantee the equilibrium of the closed system globally uniformly asymptotically stable.We consider high-order nonlinear time-delay systems as follows:

Global stabilization of a class of nonlinear systems with polynomial nonlinearities by output feedback

“…Refs. [5][6][7]. Global finite-time stabilization by output feedback for a class of nonlinear systems was studied in Refs.…”