Variable Structure Controller with Prescribed Transient Response for the Second-Order Uncertain Systems

Abstract

In this paper, a variable structure controller with prescribed transient response is proposed for uncertain systems. By using a function augmented sliding hyperplane, it is guaranteed that the output tracking error converges to zero in finite time. In addition, the proposed scheme eliminates the reaching phase problem so that the closed-loop system always shows the invariance property to parameter uncertainties and external disturbances.