Article: Design of IMC-PID controller with PSO-based fractional filter for SOPTD processes Journal: International Journal of Automation and Control (IJAAC) 2025 Vol.19 No.2 pp.213 - 235 Abstract: Over the decades proportional integral and derivative (PID) controllers are the main choice for industrial applications. Second order plus time delay (SOPTD) models are considered in industry because of better process dynamics than other processes. The internal model control (IMC) technique in a PID form is mostly designed for SOPTD processes. But in this scheme, limited numbers of tuning rules are available to provide satisfactory performances. An IMC-PID controller with cascading fractional filter can offer better control for the SOPTD processes. But, choosing its appropriate fractional order value is a crucial task. So, particle swarm optimisation (PSO) based fractional IMC filter with a PID controller is proposed. The effectiveness of the proposed controller is performed on several types of SOPTD processes both in set-point tracking and load variations. The robustness and sensitivity functions are compared for the proposed scheme with the other reported control strategy toward achieving the best possible controller structure for SOPTD processes. Inderscience Publishers - linking academia, business and industry through research

Title: Design of IMC-PID controller with PSO-based fractional filter for SOPTD processes

Authors: Parikshit Kumar Paul; Chanchal Dey; Rajanikanta Mudi; Pubali Mitra Paul

Addresses: Instrumentation Engineering, Department of Applied Physics, University of Calcutta, Calcutta, 700009, India ' Instrumentation Engineering, Department of Applied Physics, University of Calcutta, Calcutta, 700009, India ' Department of Instrumentation and Electronics Engineering, Jadavpur University, Calcutta, 700032, India ' Department of Electronics and Communication Engineering, Brainware University, Barasat, 700125, India

Abstract: Over the decades proportional integral and derivative (PID) controllers are the main choice for industrial applications. Second order plus time delay (SOPTD) models are considered in industry because of better process dynamics than other processes. The internal model control (IMC) technique in a PID form is mostly designed for SOPTD processes. But in this scheme, limited numbers of tuning rules are available to provide satisfactory performances. An IMC-PID controller with cascading fractional filter can offer better control for the SOPTD processes. But, choosing its appropriate fractional order value is a crucial task. So, particle swarm optimisation (PSO) based fractional IMC filter with a PID controller is proposed. The effectiveness of the proposed controller is performed on several types of SOPTD processes both in set-point tracking and load variations. The robustness and sensitivity functions are compared for the proposed scheme with the other reported control strategy toward achieving the best possible controller structure for SOPTD processes.

Keywords: IMC; internal model control; fractional filter; PSO; particle swarm optimisation; second order plus time delay process; PID controller.

DOI: 10.1504/IJAAC.2025.144717

International Journal of Automation and Control, 2025 Vol.19 No.2, pp.213 - 235

Received: 06 Aug 2023
Accepted: 19 Feb 2024
Published online: 28 Feb 2025 *

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Title: Design of IMC-PID controller with PSO-based fractional filter for SOPTD processes

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