Title: Kharitonov-Hurwitz analysis-based robust decentralised PID controller for benchmarking industrial processes using nonlinear constraint optimisation

Authors: K.R. Achu Govind; Subhasish Mahapatra; Soumya Ranjan Mahapatro

Addresses: School of Electronics Engineering, VIT-AP University, Near Vijayawada, Andhra Pradesh, India ' School of Electronics Engineering, VIT-AP University, Amaravati, Andhra Pradesh, India ' School of Electronics Engineering, Vellore Institute of Technology, Chennai, Tamil Nadu, India

Abstract: The interconnected systems featuring a combination of interrelated variables present significant challenges in the control and stability aspects of industrial chemical processes. These systems demonstrate complex interactions, and time delays, contributing to sub-optimal performance. Traditional controllers struggle with variable interactions, resulting in poor disturbance rejection and imprecise tracking. To overcome these limitations, a robust decentralised proportional-integral-derivative (PID) controller is proposed, exploiting nonlinear constraint optimisation. The key objective is to enhance the robustness and performance of the PID controller through a comprehensive Kharitonov-Hurwitz analysis. The controller is formulated to minimise overshoot, meeting predefined design specifications. Validation of the proposed approach is conducted on benchmark industrial processes. Simulation results demonstrate its superior performance across various metrics, including settling time and overshoot, surpassing existing methodologies in the field. Rigorous assessments under multiplicative input uncertainty and stability evaluations using the Kharitonov-Hurwitz theorem validate the approach.

Keywords: FOPDT system; TITO system; decouplers; robust control; model uncertainty.

DOI: 10.1504/IJAAC.2024.142047

International Journal of Automation and Control, 2024 Vol.18 No.6, pp.605 - 635

Received: 02 Sep 2023
Accepted: 29 Dec 2023
Published online: 07 Oct 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article