Adaptive robust control of uncertain neutral time-delay systems

In this paper, the problem of adaptive robust stabilization of neutral time-delay systems with uncertainties is investigated. It is assumed that the system parameters are subject to uncertainties with unknown bounds, but with known functional properties. A novel memoryless adaptive robust state feedback controller is proposed, and an adaptive scheme is introduced to estimate the bounds on uncertainties. A set of time-dependent trajectories which follow specific switching dynamic equations are utilized in the adaptive scheme and in the adaptive robust control input to achieve the stability of the closed-loop system. It is shown that by applying the proposed adaptive robust control input the states of the resultant closed-loop uncertain time-delay system will be uniformly ultimately bounded. The simulation results elucidate the effectiveness of the proposed approach.