Economic Model Predictive Control for Wastewater Treatment Processes Based on Global Maximum Error POD-TPWL

Zhiyu Wang, Jing Zeng () and Jinfeng Liu
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Zhiyu Wang: College of Information Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China
Jing Zeng: College of Information Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China
Jinfeng Liu: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada

Mathematics, 2025, vol. 13, issue 10, 1-19

Abstract: To address the challenge of low computational efficiency in nonlinear Economic Model Predictive Control (EMPC) for large-scale systems such as wastewater treatment plants (WWTPs), this paper proposes a Trajectory Piecewise Linearization (TPWL)-based EMPC framework integrated with global maximum error control (GMEC) and Proper Orthogonal Decomposition (POD). The TPWL method constructs a reduced-order model framework, while GMEC iteratively refines the linearization point selection process. A two-stage strategy is employed: first, coarse selection of candidate linearization points along the original nonlinear model’s state trajectory based on Euclidean distance, followed by refinement to determine optimal points that minimize global approximation errors. Simulation results demonstrate that the proposed method reduces computational time by at least 65% under identical weather conditions while maintaining effluent quality and total cost indices within acceptable thresholds. Compared with conventional TPWL-POD approaches, this framework achieves higher model accuracy and superior EMPC control performance. These advancements underscore the method’s potential for real-time implementation in complex industrial systems, balancing computational efficiency with control precision. Additionally, the framework’s modular design enables integration with existing optimization techniques to further reduce computational complexity without compromising effluent quality compliance.

Keywords: proper orthogonal decomposition; model order reduction; economic model predictive control; wastewater treatment plants; trajectory piecewise linearization; global maximum error control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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