Adaptive control for a class of time-delay nonlinear systems with unknown control coefficients

This paper investigates the adaptive control for a class of high-order time-delay nonlinear systems with unknown control coefficients. Base on the method of adding a power integrator and by using the backstepping approach, an adaptive stabilizing controller independent of time-delay is successfully constructed. The controller guarantees that all states of the whole closed-loop system are globally uniformly bounded, and makes the original system states globally asymptotically converge to zero. Finally, a numerical example is given to illustrate the effectiveness of the control scheme.