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Incremental multi-subreservoirs echo state network control for uncertain aeration process.

Cuili Yang1, Qingrun Zhang1, Jiahang Zhang1

  • 1School of Information Science and Technology, Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, 100124, PR China.

Neural Networks : the Official Journal of the International Neural Network Society
|December 17, 2025
PubMed
Summary
This summary is machine-generated.

A novel incremental multi-subreservoirs echo state network (IMSESN) controller enhances dissolved oxygen control in wastewater treatment. This method improves tracking accuracy and computational efficiency for uncertain aeration processes.

Keywords:
Disturbance observerEcho state networkTracking controlWastewater treatment process

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Area of Science:

  • Environmental Engineering
  • Control Systems Engineering
  • Artificial Intelligence

Background:

  • Controlling dissolved oxygen (DO) in wastewater treatment processes (WWTP) is challenging due to nonlinear dynamics and unknown disturbances.
  • Existing methods struggle with the inherent uncertainties of aeration processes.

Purpose of the Study:

  • To propose an advanced controller for robust dissolved oxygen control in WWTP.
  • To enhance adaptability and reduce computational complexity in aeration control.

Main Methods:

  • Utilizing an echo state network (ESN) as a system state approximator and a disturbance observer for unmeasurable disturbances.
  • Incorporating an error-driven subreservoir increment mechanism for improved uncertainty approximation.
  • Applying the minimum learning parameter (MLP) algorithm to optimize weight updates and reduce computational load.
  • Employing Lyapunov stability theory to prove the stability of the closed-loop system.

Main Results:

  • The proposed incremental multi-subreservoirs echo state network (IMSESN) controller demonstrated superior tracking accuracy compared to existing methods.
  • The controller exhibited significant computational efficiency, validated through simulations on the benchmark simulation model no. 1 (BSM1).
  • The system showed robustness under diverse weather conditions, indicating reliable performance in real-world scenarios.

Conclusions:

  • The IMSESN controller offers an effective solution for precise dissolved oxygen control in WWTP.
  • The developed method balances high control accuracy with reduced computational demands.
  • This approach provides a promising advancement for optimizing wastewater treatment operations.