Observer Based Fuzzy Terminal Sliding Mode Controller Design for a Class of Fractional Order Chaotic Nonlinear Systems

This paper presents a new observer based fuzzy terminal sliding mode controller design for a class of fractional order nonlinear systems. Robustness against uncertainty and disturbance, the stability of the close loop system and the convergence of both the tracking and observer errors to zero are the merits of the proposed the observer and the controller. The high gain observer is applied to estimate the state variables of the system. The fuzzy system is applied to decrease chattering of the controller. Finally, numerical simulation on a chaotic system demonstrates the powerful and effectiveness of the proposed method.