A Model Reference Variable Structure Controller Design for Time-Delay Systems with Input Nonlinearities

Abstract

The problem of model reference variable structure control for a class of perturbed time-delay systems with input nonlinearities is investigated. In this paper, the variable structure control is incorporated with an adaptive law to drive the state error between the desired model state and the controlled plant state to zero. The adaptive law is utilized for adapting the unknown upper bounds of the perturbations, and variable structure control is used for enhancing the robustness of the controlled systems. Hence, the information of the upper bounds of the perturbations is not required beforehand. It also shows that the proposed method ensures the property of globally asymptotically stable or uniformly ultimate boundness for the overall controlled system. Finally, a practical example is given to illustrate the feasibility of the proposed control methodology.