Fault tracking sliding-mode controller design for fuzzy fractional-order system subject to actuator saturation

This paper brings forth the fault tracking(estimation) problem for Fractional-Order Takagi-Sugeno Fuzzy(FOTSF) uncertain model subject to time-varying actuator fault and actuator saturation. In order to maintain the stability of considered system, fuzzy fault-tolerant sliding-mode controller is constructed based on fast adaptive fault estimation algorithm. Precisely, stability analysis is performed for the FOTSF model based on state and fault estimations by using the Lyapunov's stability theorem. More precisely, the sufficient constraints for stability of formulated model are built in proposed theorems. Eventually, two numerical exemplars including one chaotic model of Rossler are issued to support the proposed results and to demonstrate the efficacy of prescribed controller.