Adaptive Robust Stabilization of Uncertain Neutral Delay-Time Systems via Control Schemes with Simple Structure

In this paper, the problem of robust stabilization is considered for a class of uncertain neutral time-delay dynamical systems with the unknown bounds of delayed state perturbations. By introducing an adaptation law with sigma-modification to update the unknown bounds, some continuous adaptive robust state feedback control schemes with a rather simple structure are proposed. The proposed adaptive robust control schemes can guarantee that the solutions of uncertain neutral time-delay systems converge uniformly exponentially towards a ball, and can be easily implemented in practical engineering control problems because of their simplicity. Finally, the simulations of a numerical example are provided to demonstrate the validity of the theoretical results of the paper. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.