Fuzzy surface-based control for uncertain unified chaotic systems

This paper proposes a fuzzy sliding mode control strategy for an uncertain unified chaotic system with input nonlinearity. Using the sliding mode control technique, a sliding surface is determined and the control law is established. A fuzzy system is used instead of sign function in the sliding mode control to reduce the chattering phenomenon on the sliding surface. Based on Lyapunov stability theory, stability of the fuzzy sliding control law is determined. Chattering in the system with nonlinearity input is also damped due to this control law. The illustrative simulation results are given to demonstrate the effectiveness of the proposed fuzzy sliding mode control design.