Design of a fractional-order fuzzy PI controller for fractional-order chaotic systems

In this paper, for the stable of fractional order chaotic systems with time delay, based on PID stability theory, a fuzzy PI control scheme is established. In the case of no eliminating the nonlinear part, the controller is designed with fractional order PI controller and fuzzy control. The simulation of the stable linear systems and Chen chaotic systems was conducted by the fuzzy PI controller which effectively shorten stable time and ensure the smooth. The simulation results verify the validity and feasibility of the controller.