Global stabilization via homogeneous output feedback for a class of uncertain nonlinear systems subject to time delays
Transactions of the Institute of Measurement and Control
Published online on October 31, 2013
Abstract
This paper addresses the problem of global output feedback stabilization for a class of uncertain nonlinear systems subject to time delay. Using the homogeneous domination approach, we first 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. As a special case, a linear output feedback controller with a tunable scaling gain is constructed to globally stabilize time-delay systems under a linear growth condition. In addition, we also show the proposed approach is applicable to the time-delay systems under lower-order growth conditions and non-triangular growth conditions.