Fuzzy Fractional Order Proportional Integral Derivative Controller Design for Higherorder Time Delay Processes

Abstract

Process control is the interested domain of interest as the industrial high-order applications require an effective control mechanism with higher robustness. Since the conventional method of proportional integral derivative (PID) controller remains inadequate for the higher-order processes, this research concentrates on the fuzzy fractional-order controllers, that more and more attention nowadays in various research areas of science and engineering specifically, on the areas of tuning, design, implementation, and analysis of these controllers. Accordingly, this research marks a milestone for the control industry through introducing a robust controller, fuzzy fractional-order (FO) PI[Formula: see text]D[Formula: see text] (fuzzy FOPID) for higher-order applications with dead time. The fractional-order controller requires the fractional orders for the derivative term [Formula: see text] and integral term [Formula: see text]. The results of the proposed fuzzy FOPID controller is analyzed and compared with the comparative methods, such as a proportional integral derivative (PID) controller and fractional order PID controller (FOPID). Accordingly, the time-domain specifications are evaluated in the presence/absence of the disturbances is analyzed and in addition, the time domain optimal integral metrics are determined. Simulations are carried out using MATLAB/SIMULINK.