Title: A fractional order proportional controller for control liquid level in nonlinear spherical tank system

Authors: S.P. Selvaraj; R. Thiyagarajan; Mohanraj Kalidass

Addresses: Department of Electrical and Electronics Engineering, Excel Engineering College, Namakkal, Tamilnadu, 637303, India ' Department of Electronics and Instrumentation Engineering, Faculty of Engineering and Technology, Annamalai University, Chidambaram Tamilnadu, 608002, India ' Instrumentation and Control Engineering, Sri Sai Ram Engineering College, Chennai – 600044, Tamilnadu, India

Abstract: In order to keep the process level at the specified operational parameters and attain peak performance, the fractional order proportional-resonant (FOPR) controller was proposed for a spherical tank. The spherical tanks are mostly used in the process industries because of their high storage capacity. The proposed FOPR controller tunes all of the parameters in the operating conditions. The FOPR approach is less reactive, and it is used to manage the liquid levels. It is cost-effective and has good time domain features. The findings are contrasted to methods: glow swarm optimisation-based proportional integral (GSO-PI) controllers, bacterial foraging optimisation, and particle swarm optimisation. Compared to existing approaches, the proposed FOPR controller can give little overshoot, minimal settling time, faster rise time, and minimal integral standard error (ISE) and integral absolute error (IAE) values. It also produces a highly stable output over the tank's full span at various operating positions.

Keywords: fractional order proportional-resonant; FOPR; bacterial foraging optimisation; BFO; glow swarm optimisation-based controller; particle swarm optimisation; PSO; integral standard error; ISE; integral absolute error; IAE.

DOI: 10.1504/IJBIC.2025.149533

International Journal of Bio-Inspired Computation, 2025 Vol.26 No.3, pp.145 - 156

Accepted: 04 Nov 2024
Published online: 05 Nov 2025 *

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