Finite-time convergence of perturbed nonlinear systems using adaptive barrier-function nonsingular sliding mode control with experimental validation

Abstract

In this study, an adaptive barrier procedure is combined with nonsingular sliding mode control (SMC) technique at the aim of the fast stabilization of nonlinear system with external disturbances. It is verified that the barred function-based control law leads to the fast convergence of state errors to a region near origin. Furthermore, the suggested method eradicates the requirement for the knowledge of upper bounds of exterior perturbations which are frequently required in SMC scheme. The stability analysis confirms fast convergence of the error states to a predetermined region. In order to demonstrate the validity of the planned method, a mass-spring system is examined as the case study. Finally, simulation and experimental outcomes on a mass-spring system are given to prove the efficacy and success of the advised methodology.