Adaptive Fuzzy Sliding Mode Controller Design for Lorenz System

This paper presents an adaptive fuzzy sliding mode control (AFSMC) scheme for chaos control of Lorenz system. In this scheme, the reaching law required to drive the system states of Lorenz system to the sliding surface is inferred by an adaptive technique and a set of fuzzy logic rules based upon the output of a sliding mode controller (SMC). The feasibility and effectiveness of the AFSMC scheme are demonstrated via a numerical simulation. The numerical results demonstrate the ability of AFSMC scheme to suppress the chaotic Lorenz system and reveal that the control signal is chatter free.