High-performance temperature regulation of nonlinear CSTRs via a hybrid stellar oscillation optimizer and...

Area of Science:

• Chemical Engineering
• Control Systems
• Computational Intelligence

Background:

• Nonlinear temperature regulation in Continuous Stirred Tank Reactors (CSTRs) presents significant control challenges.
• Proportional-Integral-Derivative (PID) controllers with derivative filtering (PID-F) are widely used but require precise tuning for optimal performance.
• Existing metaheuristic optimizers and classical tuning methods often struggle with the complex dynamics of nonlinear CSTR systems.

Purpose of the Study:

• To introduce a novel hybrid stellar oscillation optimizer with differential evolution (hSOO-DE) for high-performance PID-F controller tuning.
• To enhance the transient and steady-state control quality in nonlinear CSTR temperature regulation.
• To evaluate the effectiveness and robustness of the proposed hSOO-DE algorithm against various state-of-the-art methods.

Main Methods:

• Development of the hybrid stellar oscillation optimizer with differential evolution (hSOO-DE) by integrating global exploration (SOO) and local exploitation (DE).
• Application of hSOO-DE to a benchmark nonlinear CSTR model for PID-F controller parameter optimization.
• Comparative analysis using statistical methods (boxplots, Mann-Whitney U-tests) against SOO, BPBO, CMA-ES, DE, Ziegler-Nichols, Tyreus-Luyben, and Simulink Tuner.
• Optimization objective focused on minimizing overshoot and integral absolute error.

Main Results:

• hSOO-DE achieved the lowest mean objective value with minimal variance compared to all tested optimizers.
• Demonstrated superior transient performance, including reduced rise and settling times and minimal overshoot.
• Validated improved steady-state precision and overall control robustness against conventional tuning methods.
• Statistical analyses confirmed the significant superiority of hSOO-DE.

Conclusions:

• The hybrid hSOO-DE algorithm provides a robust and efficient framework for PID-F controller tuning in nonlinear chemical reactor systems.
• Embedding differential evolution within the stellar oscillation optimizer structure enhances search capabilities for complex control problems.
• The proposed method offers a significant advancement in achieving high-performance temperature regulation for CSTRs.