Abstract:
This paper considers the global practical tracking problem by state feedback for a class of
high-order non-linear systems with more general uncertainties, to which the existing control
methods are inapplicable. We successfully propose a new tracking control design scheme for the
system studied by introducing sign function and necessarily modifying the method of adding a
power integrator. It is shown that the designed controller guarantees that all states of the
resulting closed-loop system are globally bounded and the tracking error remains prescribed
arbitrarily small after a finite time.
