Fuzzy fractional order controller based on fractional calculus

A novel fuzzy fractional order proportional integral derivative (FFPID) controller based on fractional calculus is presented. Fractional calculus performs more effectively for the controller design than integer order calculus with arbitrary integral and derivative orders of real number. Combined the fractional proportional integral derivative controller with fuzzy control logic, the unit of fractional proportional integral derivative replaces the unit of proportional integral derivative in conventional fuzzy PID controllers to establish the structure of FFPID. The operational process of FFPID controllers is realized with the method of Tustin discretization and fuzzy logic reasoning. To demonstrate better control characteristics of the FFPID controllers, a numerical simulation with a detailed comparative analysis under individual conditions is carried out. The results verify the fine robust performance for the nonlinearity and parameter uncertainty.