Variable-order fuzzy fractional PID controller

- A variable-order fractional fuzzy PID controller with two inputs and five outputs is proposed.
- The orders of the proposed controller could change automatically along with the variation of control plant.
- The influence of fractional orders λ and μ on control systems has been investigated.
- The proposed controller achieves better system performance compared with the other two controllers.

In this paper, a new tuning method of variable-order fractional fuzzy PID controller (VOFFLC) is proposed for a class of fractional-order and integer-order control plants. Fuzzy logic control (FLC) could easily deal with parameter variations of control system, but the fractional-order parameters are unable to change through this way and it has confined the effectiveness of FLC. Therefore, an attempt is made in this paper to allow all the five parameters of fractional-order PID controller vary along with the transformation of system structure as the outputs of FLC, and the influence of fractional orders λ and μ on control systems has been investigated to make the fuzzy rules for VOFFLC. Four simulation results of different plants are shown to verify the availability of the proposed control strategy.