Adaptive fuzzy sliding mode, control for a class of unknown nonlinear systems

A new adaptive fuzzy control algorithm which combines sliding mode controller and a proportional-integral (PI) controller into a single adaptive fuzzy sliding mode controller (AFSMC) is proposed for a class of unknown nonlinear systems. The AFSMC can tackle the control problem of unknown nonlinear systems and systems with modeling uncertainties and external disturbance. The role of the controller is to schedule control under different operating conditions. In this way, the advantage of each control method before combining can be retained while any disadvantages are removed. The proposed control scheme provides good transient and robust performance. Moreover, the drawback of chattering phenomenon in SMC can be avoided. The AFSMC scheme is proved to guarantee the global stability of the closed-loop system.