Adaptive fuzzy control for a class of uncertain chaotic systems based on proportional-integral sliding mode control approach

In this paper, the chaos control problem of a class of uncertain chaotic systems with unknown external disturbances is studied by using adaptive fuzzy sliding mode control. A proportional-integral (PI) sliding mode surface is designed to implement a sliding mode controller. Fuzzy logic systems are used to approximate the unknown nonlinear functions. The underlying parameter adaptation design as well as stability analysis are discussed by using Lyapunov stability criterion. Finally, numerical examples are given to show the effectiveness of our method.