Document Type: Article
Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran
Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
This paper investigates a novel nonsingular fast terminal sliding-mode control method for the stabilization of the uncertain time-varying and nonlinear thirdorder systems. The designed disturbance observer satises the nite-time convergence of the disturbance approximation error and the suggested nite-time stabilizer assures
the presence of the switching behavior around the switching curve in the nite time. Furthermore, this approach can overcome the singularity problem of the fast terminal sliding-mode control technique. Moreover, knowledge about the upper bounds of the disturbances is not required and the chattering problem is eliminated. Usefulness and effectiveness of the offered procedure are conrmed by numerical simulation results.