# Construction and Evaluation of a Control Mechanism for Fuzzy Fractional-Order PID
###### Abstract
[28] proposed a combination of control methods, which are model free controller, Fractional-order proportional integral controller, and fractional order sliding mode controller, which uplift the MFC algorithm with the term MF-FOiPI-FOSMC called Model Free-Fractional Order Intelligent Proportional Integral-Fractional Order Sliding Mode Controller. However, results of the traditional control plans are only appropriate for simple systems with a definite operating interval and not appropriate for disturbance in load and constant variations in set points [29; 30; 31]. As a result, the FOPID controller was created, which is a modified PID control structure. The orders of integrals and differentiation in a traditional IOPID controller are constrained to integers, which might limit the controller's performance, especially when the system includes plant uncertainty and load disturbances [32]. The integrator and differentiator orders of the FOPI D controller are real non-integer numbers. Fractional-order controllers have been employed by many researchers since their introduction, who have proved their superior performance over integer-order controllers [16]. [PERSON] et al. [33] proposed fractional-order PID control approach optimized by Harmony search, which was recently proved to be superior to traditional controllers in monitoring the speed of a DC engine in energy component-controlled vehicles under powerful burden circumstances. As a consequence, a one-of-a-kind model for exploratory arrangement was made, and the framework's exhibition is shown involving a FFOPID regulator for load unsettling influences and varieties in set-point level, adding to pneumatic strain control research. The FFOPID control system's performance is also compared to that of FOPID and classic PID control systems. The use of fractions has increased in the engineering and scientific fields and has proven to be superior. A study by [PERSON] [34] considers a fuzzy PID controller of fractional order. In addition, the behavior of the controller is investigated using the tubular heat exchanger process. The comparison is made using the traditional PID control structure. Simulations show that the presented control method is superior to traditional PID control structures. The pneumatic pressure is one of the vital variables used in industries similar to chemical reaction control, pneumatic positions, well drilling, servo systems, power plants, heating, ventilating and air conditioning systems, automobile, and so on. Due to the compressibility of air, load fluctuations, and outside disturbances, pneumatic pressure plants have extremely nonlinear dynamic properties. Additionally, industrial pneumatic pressure plants often operate at various pressure levels and are linked. As a result of the uncertainties and nonlinearity present, the exact control of pressure plants is difficult [35; 36; 37]. Taking the above aspects into consideration, a fuzzy-based FOPID control scheme is proposed by the current study to respond faster and have better control performances. To show the performance of the proposed control technique, the current study develops a novel pneumatic pressure system model, and a system performance is studied under load disturbances and changes in set-point conditions.