Temperature control in continuous stirred tank heater (CSTH) systems is essential for ensuring energy efficiency, safety, and product quality in industrial processes. However, the nonlinear dynamics and external disturbances make conventional proportional-integral-derivative (PID) control inadequate for reliable operation. This study presents a novel two-degrees-of-freedom PID (2DoF-PID) controller optimized using the quadratic interpolation optimization (QIO) algorithm to enhance CSTH temperature regulation. The QIO-based approach allows independent tuning for setpoint tracking and disturbance rejection, overcoming the limitations of classical PID controllers. Extensive nonlinear time-domain simulations, reference tracking, and disturbance rejection tests demonstrate the superior performance of the proposed controller in terms of reduced overshoot, faster settling time, and minimal steady-state error. Furthermore, comparative evaluations with traditional tuning methods (Murrill and Rovira) and several state-of-the-art metaheuristic optimizers (DE, PSO, FLA, MGO) validate the effectiveness and robustness of the QIO-optimized strategy. This work introduces a pioneering application of the QIO algorithm in industrial temperature control, offering a scalable and cost-efficient solution for complex nonlinear systems.

Applied Science Research Center Applied Science Private University Amman 11931 Jordan

Department of Computer Engineering Istanbul Gedik University Istanbul 34876 Turkey

Department of Electrical and Electronics Engineering Bursa Uludag University Bursa 16059 Turkey

Department of Electrical Engineering Graphic Era Dehradun 248002 India

Distance Education Application and Researcher Center Batman University Batman Turkey

ENET Centre CEET VSB Technical University of Ostrava 708 00 Ostrava Czech Republic

Graphic Era Hill University Dehradun 248002 India

Hourani Center for Applied Scientific Research Al Ahliyya Amman University Amman Jordan

Jadara University Research Center Jadara University Irbid Jordan

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