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.
Similar content being viewed by others
References
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
Liu H, Chen M. Water resources assessment issues and isotope hydrology application in China. Sci China Ser E-Technol Sci, 2001, 44: 6–10
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
Revollar S, Meneses M, Vilanova R, et al. Eco-efficiency assessment of control actions in wastewater treatment plants. Water, 2021, 13: 612
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
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
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
Lin M J, Luo F. Adaptive neural control of the dissolved oxygen concentration in WWTPs based on disturbance observer. Neurocomputing, 2016, 185: 133–141
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
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
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
Hermansson A W, Syafiie S. Model predictive control of pH neutralization processes: A review. Control Eng Pract, 2015, 45: 98–109
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
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
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
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
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
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
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
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
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
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
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
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
Åmand L, Carlsson B. Optimal aeration control in a nitrifying activated sludge process. Water Res, 2012, 46: 2101–2110
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
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
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
Utkin V. On convergence time and disturbance rejection of super-twisting control. IEEE Trans Automat Contr, 2013, 58: 2013–2017
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
Luca L, Vilanova R, Ifrim G A, et al. Control strategies of a waste-water treatment plant. IFAC-PapersOnline, 2019, 52: 257–262
Author information
Authors and Affiliations
Corresponding author
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.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-021-2050-x