Abstract:
This paper focuses on the problem of global practical output tracking
for a class of high-order non-linear systems with time-varying delays (via state
feedback). Under mild growth conditions on the system nonlinearities involving
time-varying delays, we construct a state feedback controller with an adjustable scaling gain. With the aid of a Lyapunov–Krasovskii functional, the
scaling gain is adjusted to dominate the time-delay nonlinearities bounded by
the growth conditions and make the tracking error arbitrarily small while all
the states of the closed-loop system remain to be bounded. Finally,
a simulation example is given to illustrate the effectiveness of the tracking
controller.
