The rapid advancements in control engineering have led to the development of intelligent hybrid controllers that integrate multiple control strategies for improved system performance. Among these, the Fractional- Order Fuzzy PID (FOFPID) controller has gained significant attention due to its enhanced flexibility and robustness in handling complex, nonlinear, and uncertain systems. This paper presents a comprehensive study on the design and implementation of the FOFPID controller, which combines the advantages of fractional-order PID (FOPID) and fuzzy logic control (FLC). The fractional-order components provide better memory effects and adaptability, while the fuzzy logic system enhances the controller’s decision-making capability in dynamic environments. Various optimization techniques, such as metaheuristic algorithms, are employed to fine-tune the controller parameters for superior performance. Simulation and experimental results demonstrate that the FOFPID controller outperforms conventional PID and FOPID controllers in terms of stability, accuracy, and disturbance rejection. The proposed intelligent hybrid control approach is applicable to a wide range of industrial and automatic systems, providing improved efficiency and reliability.
Botirov et al. (2025) studied this question.