Adaptive fuzzy sliding mode control for uncertain non-linear system with input non-linearity

Abstract

In this brief, the problem of tracking control for a class of uncertain non-linear system with input non-linearity is considered. An adaptive fuzzy sliding mode controller is proposed. The main advantage of the proposed method is that the non-linear dynamic, the bound of disturbances and all parameters of input non-linearity are unknown. Meanwhile, the chattering phenomenon that frequently appears in the conventional sliding mode control is also eliminated without deteriorating the system's phenomenon. Using Lyapunov stability theory, the states of closed-loop system can track given signals in the sense of uniform ultimately boundedness. Finally, simulations are done to show the effectiveness of the main results.