Construction and Evaluation of a Control Mechanism for Fuzzy Fractional-Order PID

Abstract

In this research, a control mechanism for fuzzy fractional-order proportional integral derivatives was suggested (FFOPID). The fractional calculus application has been used in different fields of engineering and science and showed to be improved in the past few years. However, there are few studies on the implementation of the fuzzy fractional-order controller for control in real time. Therefore, for an experimental pressure control model, a fractional order PID controller with intelligent fuzzy tuning was constructed and its results were calculated through simulation. To highlight proposed control scheme advantages, the performances of the controller were inspected under load disturbances and variations in set-point conditions. Furthermore, with classical PID control schemes and fractional order proportional integral derivative (FOPID), a comparative study was made. It is revealed from the results that the suggested control scheme outclasses other categories of the control schemes.

An Optimal Nonlinear Type-2 Fuzzy FOPID Control Design Based on Integral Performance Criteria Using FSM

“…However, there are certain gaps in the existing literature regarding the design of these controllers. Specifically, when considering the membership functions of the type-1 fuzzy controller (or UMF of type-2 fuzzy), most algorithms focus solely on optimizing the PID or FOPID parameters and employ linear (triangular) membership functions that are uniformly distributed around the operating point [5], [6], [7], [8], [9], [10], [13], [14], [15], [30], [31], [33], [36], [38]. These studies assume that optimizing the PID or FOPID control parameters is sufficient to optimize the entire controller, disregarding the impact of the membership functions.…”

“…Another notable gap identified in the existing literature pertains to the treatment of fractional-order parameters within FOPID (Fractional-order Proportional Integral Derivative) controllers. A majority of the algorithms proposed in the literature resort to approximating the fractional parameters by mapping them to an integer-transfer function that closely resembles the desired response [5], [6], [7], [8], [9], [10], [13], [14], [30], [31], [33], [36], [37], [38]. This approach overlooks the inherent characteristics and advantages offered by fractional-order dynamics, thereby limiting the true potential and efficacy of FOPID controllers.…”