Free chattering and finite time in a high order system by terminal back-stepping and terminal sliding mode control techniques

Nowadays, finite Time stability of systems is popular for control engineering designers. In this paper, two control inputs will be designed for a typical high order system with using of Nonsingular Terminal Sliding Mode Control (NTSMC) and Back-Stepping methods, which clearly and completely remove chattering phenomena, also as finite time cause system stability. The control inputs are robust against of disturbance and uncertainties. The high order system that is used in this paper is a general sample and the most systems are compatible on it.