Adaptive fuzzy sliding mode control for SISO nonlinear systems

In this paper, we develop a fuzzy logic system with sliding mode control for unknown nonlinear system. First, an observer for unknown tracking error is designed to obtain a sliding surface. Furthermore, the fuzzy system are employed to approximate the unknown nonlinear functions with e-modification learning laws to ensure the boundedness of estimated parameters. It is proved that the overall adaptive scheme guarantees the ultimately bounded tracking in the Lyapunov sense. Simulation studies have shown that the propose control algorithm performs well in tracking performance.