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Author:

Wu, X.-L. (Wu, X.-L..) | Han, W.-H. (Han, W.-H..) | Yang, H.-Y. (Yang, H.-Y..) | Li, X. (Li, X..) | Han, H.-G. (Han, H.-G..)

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Abstract:

A robust soft constrained model predictive control (RSCMPC) method is proposed to address the effects of unknown disturbances for wastewater treatment processes (WWTPs). The disturbances involving inflow fluctuation and noises from WWTPs may result in the constraints violation of MPC due to its uncertainty of bioprocess, which may degrade the performance of the steady state. First, the artificial steady state is introduced to mimic the nearest feasible steady state when the reference steady state is not feasible. The deviation caused by disturbances between the artificial steady state and the reference steady state is also penalized to ensure that the output of MPC converges to the reference steady state. Second, the soft constraints, incorporating two slack variables and a penalty term, are designed to relax the state constraints of MPC and continuously mitigate the constraint violation, thereby ensuring its stability. Third, the input state stability (ISS) under disturbances is analyzed. Finally, the simulation tested on Benchmark simulation model 1 verifies the effectiveness of the proposed RSCMPC. The results demonstrate that RSCMPC improves the robustness of the system to maintain the stable operation of the WWTPs. © 2004-2012 IEEE.

Keyword:

soft constraints wastewater treatment processes Model predictive control artificial steady state

Author Community:

  • [ 1 ] [Wu X.-L.]Ministry of Education, Beijing Artificial Intelligent Institute, Beijing University of Technology, Faculty of Information Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing Laboratory for Urban Mass Transit, Engineering Research Center of Digital Community, Beijing, 100124, China
  • [ 2 ] [Han W.-H.]Ministry of Education, Beijing Artificial Intelligent Institute, Beijing University of Technology, Faculty of Information Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing Laboratory for Urban Mass Transit, Engineering Research Center of Digital Community, Beijing, 100124, China
  • [ 3 ] [Yang H.-Y.]Ministry of Education, Beijing Artificial Intelligent Institute, Beijing University of Technology, Faculty of Information Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing Laboratory for Urban Mass Transit, Engineering Research Center of Digital Community, Beijing, 100124, China
  • [ 4 ] [Li X.]Northeast Forestry University, College of Computer and Control Engineering, Harbin, 150040, China
  • [ 5 ] [Han H.-G.]Ministry of Education, Beijing Artificial Intelligent Institute, Beijing University of Technology, Faculty of Information Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing Laboratory for Urban Mass Transit, Engineering Research Center of Digital Community, Beijing, 100124, China

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Source :

IEEE Transactions on Automation Science and Engineering

ISSN: 1545-5955

Year: 2025

Volume: 22

Page: 13198-13211

5 . 6 0 0

JCR@2022

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ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 6

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