Enhanced fuzzy adaptive control of uncertain fractional chaotic systems using a fractional sliding mode approach

In this note, an adaptive fuzzy logic control (AFLC) strategy based on active sliding mode theory is considered to control a class of chaotic fractional-order systems. The main contribution in this work is the use of a saturation function to eliminate the chattering action in the control and surface signals. The nonlinear fractional order chaotic systems are identified using fuzzy logic sets. Based on Lyapunov stability theorem, stability analysis is performed for the proposed control method for an acceptable synchronization error level. An illustrative application example on the fractional order modified Duffing system is given to show the effectiveness of the proposed control scheme.