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Fuzzy super-twisting sliding mode control for municipal wastewater nitrification process

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Abstract

A fuzzy super-twisting algorithm sliding mode controller is developed for the dissolved oxygen concentration in municipal wastewater nitrification process. First, a fuzzy neural network (FNN) model is designed to approach the oxygen dynamics with unmeasurable disturbances, then the established model consists of the nominal system model and the modelling error. Second, based on the FNN model, a super-twisting sliding mode controller is employed to stabilize the nominal system and to suppress the modelling error. Moreover, the stability of the system is investigated and an adaption law is applied to ensure the robustness of the closed-loop system. Finally, the comparison experiments on benchmark simulation model no. 2 (BSM2) of wastewater treatment show the advantages of the proposed method in multiple-units oxygen concentration control.

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References

  1. Wang H, Mei C, Liu J H, et al. A new strategy for integrated urban water management in China: Sponge city. Sci China Tech Sci, 2018, 61: 317–329

    Article  Google Scholar 

  2. Liu H, Chen M. Water resources assessment issues and isotope hydrology application in China. Sci China Ser E-Technol Sci, 2001, 44: 6–10

    Article  Google Scholar 

  3. Du X J, Wang J L, Jegatheesan V, et al. Dissolved oxygen control in activated sludge process using a neural network-based adaptive PID algorithm. Appl Sci, 2018, 8: 261

    Article  Google Scholar 

  4. Revollar S, Meneses M, Vilanova R, et al. Eco-efficiency assessment of control actions in wastewater treatment plants. Water, 2021, 13: 612

    Article  Google Scholar 

  5. Hu S Y, Wang Z Z, Wang Y T, et al. Total control-based unified allocation model for allowable basin water withdrawal and sewage discharge. Sci China Tech Sci, 2010, 53: 1387–1397

    Article  Google Scholar 

  6. Ma J Z, Xu Y, Xu W, et al. Slowing down critical transitions via Gaussian white noise and periodic force. Sci China Tech Sci, 2019, 62: 2144–2152

    Article  Google Scholar 

  7. Schraa O, Rosenthal A, Wade M J, et al. Assessment of aeration control strategies for biofilm-based partial nitritation/anammox systems. Water Sci Tech, 2020, 81: 1757–1765

    Article  Google Scholar 

  8. Lin M J, Luo F. Adaptive neural control of the dissolved oxygen concentration in WWTPs based on disturbance observer. Neurocomputing, 2016, 185: 133–141

    Article  Google Scholar 

  9. Han H G, Zhang J C, Du S L, et al. Robust optimal control for anaerobic-anoxic-oxic reactors. Sci China Tech Sci, 2021, 64: 1485–1499

    Article  Google Scholar 

  10. Hou Y, Wu Y L, Liu Z, et al. Dynamic multi-objective differential evolution algorithm based on the information of evolution progress. Sci China Tech Sci, 2021, 64: 1676–1689

    Article  Google Scholar 

  11. Francisco M, Skogestad S, Vega P. Model predictive control for the self-optimized operation in wastewater treatment plants: Analysis of dynamic issues. Comput Chem Eng, 2015, 82: 259–272

    Article  Google Scholar 

  12. Hermansson A W, Syafiie S. Model predictive control of pH neutralization processes: A review. Control Eng Pract, 2015, 45: 98–109

    Article  Google Scholar 

  13. Man Y, Shen W, Chen X, et al. Dissolved oxygen control strategies for the industrial sequencing batch reactor of the wastewater treatment process in the papermaking industry. Environ Sci-Water Res Technol, 2018, 4: 654–662

    Article  Google Scholar 

  14. Santín I, Barbu M, Pedret C, et al. Fuzzy logic for plant-wide control of biological wastewater treatment process including greenhouse gas emissions. ISA Trans, 2018, 77: 146–166

    Article  Google Scholar 

  15. Sadeghassadi M, Macnab C J B, Gopaluni B, et al. Application of neural networks for optimal-setpoint design and MPC control in biological wastewater treatment. Comput Chem Eng, 2018, 115: 150–160

    Article  Google Scholar 

  16. Han H G, Wu X L, Liu Z, et al. Design of self-organizing intelligent controller using fuzzy neural network. IEEE Trans Fuzzy Syst, 2018, 26: 3097–3111

    Article  Google Scholar 

  17. Santín I, Vilanova R, Pedret C, et al. New approach for regulation of the internal recirculation flow rate by fuzzy logic in biological wastewater treatments. ISA Trans, 2022, 120: 167–189

    Article  Google Scholar 

  18. Muñoz C, Young H, Antileo C, et al. Sliding mode control of dissolved oxygen in an integrated nitrogen removal process in a sequencing batch reactor (SBR). Water Sci Tech, 2009, 60: 2545–2553

    Article  Google Scholar 

  19. Wang Z, Wang X H, Xia J W, et al. Adaptive sliding mode output tracking control based-FODOB for a class of uncertain fractional-order nonlinear time-delayed systems. Sci China Tech Sci, 2020, 63: 1854–1862

    Article  Google Scholar 

  20. Ji W Q, Qiu J B, Wu L G, et al. Fuzzy-affine-model-based output feedback dynamic sliding mode controller design of nonlinear systems. IEEE Trans Syst Man Cybern Syst, 2019, 1–10

  21. Meng X, Rozycki P, Qiao J F, et al. Nonlinear system modeling using RBF networks for industrial application. IEEE Trans Ind Inf, 2018, 14: 931–940

    Article  Google Scholar 

  22. Han H, Wu X, Qiao J. Design of robust sliding mode control with adaptive reaching law. IEEE Trans Syst Man Cybern Syst, 2020, 50: 4415–4424

    Article  Google Scholar 

  23. Mohammadzadeh A, Rathinasamy S. Energy management in photovoltaic battery hybrid systems: A novel type-2 fuzzy control. Int J Hydrogen Energy, 2020, 45: 20970–20982

    Article  Google Scholar 

  24. Liu Z, Mohammadzadeh A, Turabieh H, et al. A new online learned interval type-3 fuzzy control system for solar energy management systems. IEEE Access, 2021, 9: 10498–10508

    Article  Google Scholar 

  25. Åmand L, Carlsson B. Optimal aeration control in a nitrifying activated sludge process. Water Res, 2012, 46: 2101–2110

    Article  Google Scholar 

  26. Neville M D, Doody A T, Hussain S, et al. New aeration controls for improved BNR performance and cost savings. WEFTEC 2019. Chicago: McCormick Place Convention Center, 2019

    Google Scholar 

  27. Santín I, Pedret C, Vilanova R. Applying variable dissolved oxygen set point in a two level hierarchical control structure to a wastewater treatment process. J Process Control, 2015, 28: 40–55

    Article  Google Scholar 

  28. Gao Q, Liu L, Feng G, et al. Universal fuzzy integral sliding-mode controllers based on T-S fuzzy models. IEEE Trans Fuzzy Syst, 2014, 22: 350–362

    Article  Google Scholar 

  29. Utkin V. On convergence time and disturbance rejection of super-twisting control. IEEE Trans Automat Contr, 2013, 58: 2013–2017

    Article  MathSciNet  MATH  Google Scholar 

  30. Nopens I, Benedetti L, Jeppsson U, et al. Benchmark simulation model No 2: Finalisation of plant layout and default control strategy. Water Sci Tech, 2010, 62: 1967–1974

    Article  Google Scholar 

  31. Luca L, Vilanova R, Ifrim G A, et al. Control strategies of a waste-water treatment plant. IFAC-PapersOnline, 2019, 52: 257–262

    Article  Google Scholar 

Download references

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Correspondence to HongGui Han.

Additional information

This work was supported by the National Nutural Science Foundation of China (Grant Nos. 61890930-5, 61903010, 62021003 and 62125301), the National Key Research and Development Project (Grant No. 2018YFC1900800-5), Beijing Outstanding Young Scientist Program (Grant No. BJJWZYJH01201910005020), Beijing Natural Science Foundation (Grant No. KZ202110005009), CAAI-Huawei MindSpore Open Fund (Grant No. CAAIXSJLJJ-2021-017A), and Beijing Postdoctoral Research Foundation.

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Han, H., Wang, T., Sun, H. et al. Fuzzy super-twisting sliding mode control for municipal wastewater nitrification process. Sci. China Technol. Sci. 65, 2420–2428 (2022). https://doi.org/10.1007/s11431-021-2050-x

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  • DOI: https://doi.org/10.1007/s11431-021-2050-x

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