OUTPUT TRACKING FOR A CLASS OF UNCERTAIN HIGH-ORDER NONLINEAR TIME-DELAY SYSTEMS

Abstract

In this paper, we study the problem of global practical output tracking via state feedback for a class of uncertain nonlinear time-delay systems. First, unnder mild conditions on the system nonlinearities involving time delay, we construct a homogeneous state feedback controller with an adjustable scaling gain. Then, by a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjustedto dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the tracking error can be made arbitrarily small while all the states of the closed-loop system remain to be bounded