Monday , September 21 2020

Design and Performance Evaluation of Fuzzy Variable Fractional-Order [PI]λDµ Controller for a Class of First-Order Delay-Time Systems*

N. KANAGARAJ
Electrical Engineering Department, Prince Sattam Bin Abdulaziz University,
Wadi Aldawasir, 11991, Saudi Arabia
thirukanagaraj@yahoo.com

Abstract: This paper presents the design of a fuzzy variable fractional-order PID (FVF[PI]λDµ) controller and its level of performance. The first-order plus delay-time (FOPDT) pressure control fractional-order plant model is identified using an experimental dataset and designed for study the control scheme. The conventional integer-order PID (IOPID) controllers’ performance is not satisfactory for the systems with nonlinear characteristics, plant uncertainties, and external load disturbances. Thus, a modified control structure is proposed in which the exponent terms λ and µ of the controller are changed lively using an intelligent fuzzy logic controller (FLC). To investigate the usefulness of the proposed control method, simulation studies are carried out using MATLAB software. Further on, the proposed controller performance for the identified fractional-order plant is compared with that of the IOPID and classical fractional-order PID (FOPIλDµ) controllers. The controllers’ performance is demonstrated during the parameter change and under external load disturbance conditions. The results confirm that the FVF[PI]λDµ controller is capable to achieve an improved performance and robustness for the identified FOPDT pressure control systems.

Keywords: Fractional-order controller, Fuzzy logic controller, Pressure control, First-order delay-time system, PID controller.

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CITE THIS PAPER AS:
N. KANAGARAJ, Design and Performance Evaluation of Fuzzy Variable Fractional-Order [PI]λDµ Controller for a Class of First-Order Delay-Time Systems, Studies in Informatics and Control, ISSN 1220-1766, vol. 28(4), pp. 443-452, 2019. https://doi.org/10.24846/v28i4y201908

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* This paper is an extended version of the paper called “Fuzzy fractional-order PID controller for fractional model of pneumatic pressure system”, published in Mathematical Problems in Engineering, 2018, Article ID 5478781, DOI: 10.1155/2018/5478781. In the current paper, a novel control method based on a fuzzy variable fractional-order PID (FVF[PI]λDµ) controller is used to enhance the system performance. The simulation studies are carried out in order to demonstrate controllers’ performance during the parameter change and under external load disturbance conditions.