Global Output Control for a Class of Inherently Higher-Order Nonlinear Time-Delay Systems Based on Homogeneous Domination Approach

Abstract EN

This paper addresses the problem of global output feedback stabilization for a class of inherently higher-order uncertain nonlinear systems subject to time-delay.

By using the homogeneous domination approach, we construct a homogeneous output feedback controller with an adjustable scaling gain.

With the aid of a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the closed-loop system globally asymptotically stable.

In addition, we also show that the proposed approach is applicable for time-delay systems under nontriangular growth conditions.