Title: Fractional-order PID control of valve opening in a centrifugal pump system using simulation

Authors: Yucheng Pan; Yanwei Wang

Addresses: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, China ' School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, China

Abstract: In response to the control challenges commonly observed in centrifugal pump systems - particularly the insufficient accuracy and low stability associated with conventional proportional-integral (PI) and proportional-integral-derivative (PID) controllers - this paper presents a mathematical model of the valve opening control system using MATLAB Simulink. The study determines the optimal control range for valve opening within the pump, pipeline, and valve subsystems. A novel control scheme is then developed based on a fractional-order PID (FOPID) algorithm in combination with the Oustaloup filter for approximating non-integer order dynamics. Simulation results demonstrate that, under identical proportional, integral, and derivative gains and a target valve opening of 75%, the proposed FOPID controller achieves an 8.7% reduction in overshoot and a 5.6 s decrease in settling time compared to the traditional PID controller. These improvements indicate significantly enhanced dynamic performance and system stability. The results provide a valuable foundation for future research and development of advanced valve control strategies in centrifugal pump systems.

Keywords: centrifugal pump system; valve opening; optimal valve opening range; FOPID; fractional-order PID; simulation.

DOI: 10.1504/IJMMS.2025.148935

International Journal of Mechatronics and Manufacturing Systems, 2025 Vol.18 No.1, pp.72 - 83

Received: 12 Nov 2024
Accepted: 17 Jun 2025
Published online: 04 Oct 2025 *

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