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A Framework for Implementation of Dynamic Discrepancy Reduced-Order Modeling in Advanced Process Control.

San Dinh1, Claudemi A Nascimento1, David S Mebane2

  • 1Department of Chemical and Biomedical Engineering, West Virginia University, Morgantown, West Virginia 26506, United States.

Industrial & Engineering Chemistry Research
|January 19, 2026
PubMed
Summary
This summary is machine-generated.

This study presents a new gray-box modeling approach for advanced process control. It improves model accuracy and computational efficiency for dynamic discrepancy reduced-order modeling in model predictive control (MPC).

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Area of Science:

  • Chemical Engineering
  • Control Systems Engineering
  • Computational Modeling

Background:

  • Advanced process control relies on accurate dynamic models.
  • Reduced-order models offer computational efficiency but often sacrifice accuracy.
  • Existing methods for model mismatch correction are limited.

Purpose of the Study:

  • To introduce a novel dynamic discrepancy reduced-order modeling framework.
  • To enhance model accuracy and computational performance in process control.
  • To develop a gray-box modeling approach for advanced process control applications.

Main Methods:

  • Constructing gray-box models combining first-principles and black-box components.
  • Focusing on discrepancies in the rates of change within the reduced-order model.
  • Utilizing moving horizon estimation for data generation and Bayesian inference for calibration.

Main Results:

  • The proposed dynamic discrepancy approach compensates for lost dynamic information in reduced models.
  • Improved model accuracy and computational performance were demonstrated.
  • The framework was validated using a Fischer-Tropsch synthesis reactor simulation.

Conclusions:

  • The novel framework effectively implements dynamic discrepancy reduced-order modeling.
  • This approach enhances the suitability of reduced-order models for model predictive control (MPC).
  • The method offers a balance between computational complexity and model accuracy for advanced process control.