Design of fuzzy proportional plus fractional-order integral-derivative controller

Fractional-order PID (FOPID) controller has been focused lately and has become a popular controller which is an extension to the conventional PID controller. However, the controller introduced more parameters that need to be tuned. The incorporation of fuzzy rules in the tuning procedures can basically simplify the problem but it has been proven that not every parameters need to be updated recursively. Hence, this paper presents an approach to the design of fuzzy proportional plus fractional-order integral-derivative (fuzzy P+FOID) controller that only updated the proportional gain with respect to current error and rate of error while all other parameters were fixed. The effectiveness of the proposed controller was validated by simulations on a steam distillation process model.