Improved adaptive fuzzy sliding mode control for second order nonlinear system

Abstract

In this paper, an Adaptive Fuzzy Sliding Mode combined with Model Reference Adaptive System (MRAS) is proposed to a single input-single output nonlinear system. The main goal of this paper is the control of second order nonlinear system. Firstly, adaptive fuzzy sliding mode is applied to design the controller. Next, a performance of system and a chattering phenomenon are improved by adjusting parameters of the controller via MRAS. Finally, an example is presented to illustrate the proposed methods. By applying Lyapunov stability theory, the adaptive law that is derived in this study is robust and convergent quickly. The simulation results and analysis show that the proposed method is better than Adaptive Fuzzy Sliding Mode in the sense of robustness against disturbance and reduce the chattering.