Abstract
This paper aims to present a comprehensive survey on water quality soft-sensing of a wastewater treatment process (WWTP) based on artificial neural networks (ANNs). We mainly present problem formulation of water quality soft-sensing, common soft-sensing models, practical soft-sensing examples and discussion on the performance of soft-sensing models. In details, problem formulation includes characteristic analysis and modeling principle of water quality soft-sensing. The common soft-sensing models mainly include a back-propagation neural network, radial basis function neural network, fuzzy neural network (FNN), echo state network (ESN), growing deep belief network and deep belief network with event-triggered learning (DBN-EL). They are compared in terms of accuracy, efficiency and computational complexity with partial-least-square-regression DBN (PLSR-DBN), growing ESN, sparse deep belief FNN, self-organizing DBN, wavelet-ANN and self-organizing cascade neural network (SCNN). In addition, this paper generally discusses and explains what factors affect the accuracy of the ANNs-based soft-sensing models. Finally, this paper points out several challenges in soft-sensing models of WWTP, which may be helpful for researchers and practitioner to explore the future solutions for their particular applications.












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Alex J, Benedetti L, Copp J, Gernaey K, Winkler S (2008) Benchmark simulation model no. 1 (BSM1), IWA Task group on benchmarking of control strategies for WWTPs, London
Bhattacharyya S, Pal P, Bhowmick S (2014) Binary image denoising using a quantum multilayer self-organizing neural network. Appl Soft Comput 24:717–729
Bo Y, Zhang X (2018) Online adaptive dynamic programming based on echo state networks for dissolved oxygen control. Appl Soft Comput 62:830–839
Buonocore E, Mellino S, De-Angelis G, Liu G, Ulgiati S (2018) Life cycle assessment indicators of urban wastewater and sewage sludge treatment. Ecol Ind 94:13–23
Canete de J F, del Saz-Orozco P, Baratti R, Mulas M, Ruano A, Garcia-Cerezo A (2016) Soft-sensing estimation of plant effluent concentrations in a biological wastewater treatment plant using an optimal neural network. Expert Systems with Applications, 63: 8-19
Chen Y, Xu J, Yu H, Zhen Z, Li D (2016) Three-dimensional short-term prediction model of dissolved oxygen content based on PSO-BPANN algorithm coupled with Kriging interpolation. Math Probl Eng 4:1–10
Cong Q, Yu W (2018) Integrated soft sensor with wavelet neural network and adaptive weighted fusion for water quality estimation in wastewater treatment process. Measurement 124:436–446
Gao S, Zhou MC, Wang Y, Cheng J (2019) Dendritic neuron model with effective learning algorithms for classification, approximation, and prediction. IEEE Trans Neural Networks Learn Syst 30(2):601–614
Ghasemi N, Rohani S (2019) Optimization of cyanide removal from wastewaters using a new nano-adsorbent containing ZnO nanoparticles and MOF/Cu and evaluating its efficacy and prediction of experimental results with artificial neural networks. J Mol Liq 285:252–269
Gontarski C, Rodrigues P, Mori M, Prenemn L (2000) Simulation of an industrial wastewater treatment plant using artificial neural networks. Comput Chem Eng 24(2–7):1719–1723
Guo H, Jeong K, Lim J, Jo J, Kim Y, Park J, Kim J, Cho K (2015) Prediction of effluent concentration in a wastewater treatment plant using machine learning models. J Environ Sci 32:90–101
Guo M, Zhu S, Han H (2017) Soft-sensor method for total phosphorus and ammonia nitrogen based on Fuzzy neural network. Comput Appl Chem 34(1):79–84
Hanbay D, Turkoglu I, Demir Y (2008) Prediction of wastewater treatment plant performance based on wavelet packet decomposition and neural networks. Expert Syst Appl 34(2):1038–1043
Han H, Qiao J (2014) Nonlinear model-predictive control for industrial processes: An application to wastewater treatment process. IEEE Trans Industr Electron 61(4):1970–1982
Han HG, Chen Q, Qiao JF (2011) An efficient self-organizing RBF neural network for water quality prediction. Neural Netw 24(7):717–725
Han H, Qiao J (2013) Hierarchical neural network modeling approach to predict sludge volume index of wastewater treatment process. IEEE Trans Control Syst Technol 21(6):2423–2431
Han H, Qiao J (2010) A self-organizing fuzzy neural network based on a growing-and-pruning algorithm. IEEE Trans Fuzzy Syst 18(6):1129–1143
Hinton G, Osindero S, Teh Y (2006) A fast learning algorithm for deep belief nets. Neural Comput 18(7):1527–1554
Homaei F, Najafzadeh M (2020) A reliability-based probabilistic evaluation of the wave-induced scour depth around marine structure piles. Ocean Eng 196(106818):1–12
Iratni A, Chang NB (2019) Advances in control technologies for wastewater treatment processes: status, challenges, and perspectives. IEEE/CAA J Automatica Sinica 6(2):337–363
Li F, Qiao J, Han H, Yang C (2016) A self-organizing cascade neural network with random weights for nonlinear system modeling. Appl Soft Comput 42:184–193
Li S, Li Y, Lu Q, Zhu J, Yao Y, Bao S (2014) Integrated drying and incineration of wet sewage sludge in combined bubbling and circulating fluidized bed units. Waste Manag 34(12):2561–2566
Liu H, Huang M, Yoo CK (2013) A fuzzy neural network-based soft sensor for modeling nutrient removal mechanism in a full-scale wastewater treatment system. Desalin Water Treat 51(31–33):6184–6193
Liu H, Zhou M, Liu Q (2019) An embedded feature selection method for imbalanced data classification. IEEE/CAA J Automatica Sinica 6(3):703–715
Luo J, Zhou M (2016) Petri-net controller synthesis for partially controllable and observable discrete event systems. IEEE Trans Autom Control 62(3):1301–1313
Mauricio-Iglesias M, Montero-Castro I, Mollerup A, Sin G (2015) A generic methodology for the optimisation of sewer systems using stochastic programming and self-optimizing control. J Environ Manag 155:193–203
Mjalli F, Al-Asheh S, Alfadala H (2007) Use of artificial neural network black-box modeling for the prediction of wastewater treatment plants performance. J Environ Manag 83(3):329–338
Moral H, Aksoy A, Gokcay C (2008) Modeling of the activated sludge process by using artificial neural networks with automated architecture screening. Comput Chem Eng 32(10):2471–2478
Nadiri AA, Shokri S, Tsai FTC, Moghaddam A (2018) Prediction of effluent quality parameters of a wastewater treatment plant using a supervised committee fuzzy logic model. J Clean Prod 180:539–549
Najafzadeh M (2015) Neuro-fuzzy GMDH systems based evolutionary algorithms to predict scour pile groups in clear water conditions. Ocean Eng 99:85–94
Najafzadeh M, Ghaemi A (2019) Prediction of the five-day biochemical oxygen demand and chemical oxygen demand in natural streams using machine learning methods. Environ Monit Assess 191(6):1–21
Najafzadeh M, Saberi-Movahed F (2019) GMDH-GEP to predict free span expansion rates below pipelines under waves. Mar Georesour Geotechnol 37(3):375–392
Najafzadeh M, Zeinolabedini M (2019) Prognostication of waste water treatment plant performance using efficient soft computing models: an environmental evaluation. Measurement 138:690–701
Najafzadeh M, Zeinolabedini M (2018) Derivation of optimal equations for prediction of sewage sludge quantity using wavelet conjunction models: an environmental assessment. Environ Sci Pollut Res 25(23):22931–22943
Osman YBM, Li W (2020) Soft Sensor Modeling of Key Effluent Parameters in Wastewater Treatment Process Based on SAE-NN. J Control Sci Eng 2020:1–9
Pai T, Yang P, Wang S, Lo M, Chiang C, Kuo J, Chu H, Su H, Yu L, Hu H, Chang Y (2011) Predicting effluent from the wastewater treatment plant of industrial park based on fuzzy network and influent quality. Appl Math Model 35:3674–3684
Qiao J, Li F, Han H, Li W (2017) Growing echo-state network with multiple subreservoirs. IEEE Trans Neural Networks Learn Syst 28(2):391–404
Qiao J, Meng X, Li W (2018a) An incremental neuronal-activity-based RBF neural network for nonlinear system modeling. Neurocomputing 302:1–11
Qiao J, Wang G, Li X, Li W (2018b) A self-organizing deep belief network for nonlinear system modeling. Appl Soft Comput 65:170–183
Qiao J, Wang G, Li W, Li X (2018c) A deep belief network with PLSR for nonlinear system modeling. Neural Netw 104:68–79
Qiao J, Wang L, Yang C (2019) Adaptive lasso echo state network based on modified Bayesian information criterion for nonlinear system modeling. Neural Comput Appl 31:6163–6177
Saberi-Movahed F, Najafzadeh M (2020) Receiving more accurate predictions for longitudinal dispersion coefficients in water pipelines: training group method of data handling using extreme learning machine conceptions. Water Resour Manag 34:529–561
Shi Y, Zhao X, Zhang Y, Ren N (2009) Back propagation neural network (BPNN) prediction model and control strategies of methanogen phase reactor treating traditional Chinese medicine wastewater (TCMW). J Biotechnol 144(1):70–74
Sun X, Li T, Li Q, Huang Y, Li Y (2017) Deep belief echo-state network and its application to time series prediction. Knowl-Based Syst 130:17–29
Tayebi H, Ghanei M, Aghajani K, Zohrevandi M (2019) Modeling of reactive orange 16 dye removal from aqueous media by mesoporous silica/ crosslinked polymer hybrid using RBF, MLP and GMDH neural network models. J Mol Struct 1178:514–523
Thurlimann C, Dürrenmatt D, Villez K (2018) Soft-sensing with qualitative trend analysis for wastewater treatment plant control. Control Eng Pract 70:121–133
Wang CH, Chen CY, Hung KN (2014) Toward a new task assignment and path evolution (TAPE) for missile defense system (MDS) using intelligent adaptive SOM with recurrent neural networks (RNNs). IEEE Trans Cybern 45(6):1134–1145
Wang D, Ha M, Qiao J, Yan J, Xie Y (2020a) Data-based composite control design with critic intelligence for a wastewater treatment platform. Artif Intell Rev 53:3773–3785
Wang G, Qiao J, Bi J, Jia Q, Zhou M (2020b) An adaptive deep belief network with sparse restricted Boltzmann machines. IEEE Trans Neural Netw Learn Syst 31(10):4217–4228
Wang G, Jia Q, Qiao J, Bi J, Liu C (2020c) A sparse deep belief network with efficient fuzzy learning framework. Neural Netw 121:430–440
Wang G, Jia Q, Qiao J, Bi J, Zhou M (2020d) Deep learning-based model predictive control for continuous stirred-tank reactor system. IEEE Trans Neural Networks Learn Syst. https://doi.org/10.1109/TNNLS.2020.3015869
Wang G, Jia Q, Zhou M, Bi J, Qiao J (2021) Soft-sensing of wastewater treatment process via deep belief network with event-triggered learning. Neurocomputing 436:103–113
Wang G, Qiao J, Bi J, Li W, Zhou M (2019) TL-GDBN: growing deep belief network with transfer learning. IEEE Trans Autom Sci Eng 16(2):874–885
Wang J, Kumbasar T (2019) Parameter optimization of interval Type-2 fuzzy neural networks based on PSO and BBBC methods. IEEE/CAA J Automatica Sinica 6(1):247–257
Wang Y, Zheng W, Zhang H (2017) Dynamic event-based control of nonlinear stochastic systems. IEEE Trans Autom Control 62(12):6544–6551
Wang W, Ren M (2002) Soft-sensing method for wastewater treatment based on BP neural network. Proceedings of the 4th World Congress on Intelligent Control and Automation, 2330–2332, Shanghai, China
Wang Y, Zheng W, Zhang H (2017b) Dynamic event-based control of nonlinear stochastic systems. IEEE Trans Autom Control 62(12):6544–6551
Xu ML, Yang Y, Han M, Qiu T, Lin H (2019) Spatio-temporal interpolated echo state network for meteorological series prediction. IEEE Trans Neural Netw Learn Syst 30(6):1621–1633
Xu M, Zeng G, Xu X, Huang G, Sun W, Jiang X (2005) Application of Bayesian regularized BP neural network model for analysis of aquatic ecological data–a case study of chlorophyll-a prediction in Nanzui water area of Dongting Lake. J Environ Sci 17(6):946–952
Yan A, Shao H, Wang P (2015) A soft-sensing method of dissolved oxygen concentration by group genetic case-based reasoning with integrating group decision making. Neurocomputing 169:422–429
Yan W, Xu R, Wang K, Di T, Jiang Z (2020) Soft sensor modeling method based on semisupervised deep learning and its application to wastewater treatment plant. Ind Eng Chem Res 59(10):4589–4601
Yang C, Qiao J, Ahmad Z, Nie K, Wang L (2019a) Online sequential echo state network with sparse RLS algorithm for time series prediction. Neural Netw 118:32–42
Yang C, Qiao J, Han H, Wang L (2018) Design of polynomial echo sate networks for time series prediction. Neurocomputing 290:148–160
Yang H, Csukás B, Varga M, Kucska B, Szabó T, Li D (2019b) A quick condition adaptive soft sensor model with dual scale structure for dissolved oxygen simulation of recirculation aquaculture system. Comput Electron Agric 162:807–824
Zeinolabedini M, Najafzadeh M (2019) Comparative study of different wavelet-based neural network models to predict sewage sludge quantity in wastewater treatment plant. Environ Monit Assess 191(3):1–25
Zhou H, Zhang Y, Duan W, Zhao H (2020) Nonlinear systems modelling based on self-organizing fuzzy neural network with hierarchical pruning scheme. Appl Soft Comput 95:1–16
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (No. 62003185, 62073182, 61890930 and 61890935), in part by the National Science and Technology Major Project (2018ZX07111005). No conflict of interest exits in this manuscript and it has been approved by all authors for publication.
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Wang, G., Jia, QS., Zhou, M. et al. Artificial neural networks for water quality soft-sensing in wastewater treatment: a review. Artif Intell Rev 55, 565–587 (2022). https://doi.org/10.1007/s10462-021-10038-8
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DOI: https://doi.org/10.1007/s10462-021-10038-8