Non-singular fast terminal sliding mode control of general class of chaotic system

This paper proposes a non-singular fast terminal sliding mode (NFTSM) strategy for control of a general class of chaotic system in presence of parametric uncertainty and matched external disturbances. NFTSM uses a nonlinear switching function designed with the focus on achieving faster convergence rate of the system states towards stable equilibrium points without any singularity problems. Further, a dynamic sliding mode control (DSMC) has also been derived which is based on additional dynamics added to the switching surface. DSMC has relatively slow asymptotic convergence rate but shows good transient performance and hence helps in appreciating the performance of NFTSM in a better way. Performance of both these controllers have been compared with the results of already established non-singular terminal sliding mode control (NTSM) method. Simulation results are shown at the end to prove the efficiency of the methods discussed.