Hierarchical dynamic neural networks for cascade system modeling with application to wastewater treatment

Many cascade processes, such as wastewater treatment plant, include complex nonlinear sub-systems and many variables. The normal input-output relation only represent the first block and the last block of the cascade process. In order to model the whole process. We use hierarchical dynamic neural networks to identify the cascade process. The internal variables of the cascade process are estimated. Two stable learning algorithms and theoretical analysis are given. Real operational data of a wastewater treatment plant are applied to illustrate this new neural modeling approach.

[1]  Liang Jin,et al.  Stable dynamic backpropagation learning in recurrent neural networks , 1999, IEEE Trans. Neural Networks.

[2]  Li-Xin Wang,et al.  Analysis and design of hierarchical fuzzy systems , 1999, IEEE Trans. Fuzzy Syst..

[3]  S. Weijers Modelling, identification and control of activated sludge plants for nitrogen removal , 2000 .

[4]  Tianyou Chai,et al.  Cascade Process Modeling with Mechanism-Based Hierarchical Neural Networks , 2010, Int. J. Neural Syst..

[5]  Mogens Henze,et al.  Activated Sludge Model No.2d, ASM2D , 1999 .

[6]  Ming Rao,et al.  An on-line wastewater quality predication system based on a time-delay neural network , 1998 .

[7]  Zone-Ching Lin,et al.  Multiple linear regression analysis of the overlay accuracy model , 1999, ICMTS 1999.

[8]  Wenwu Yua System identification using hierarchical fuzzy neural networks with stable learning algorithm , 2007 .

[9]  R. B. Newell,et al.  Robust model-order reduction of complex biological processes , 2002 .

[10]  John Moody,et al.  Fast Learning in Networks of Locally-Tuned Processing Units , 1989, Neural Computation.

[11]  Tianyou Chai,et al.  Wastewater BOD Forecasting Model for Optimal Operation Using Robust Time-Delay Neural Network , 2005, ISNN.

[12]  Xiao-Jun Zeng,et al.  Approximation Capabilities of Hierarchical Fuzzy Systems , 2005, IEEE Transactions on Fuzzy Systems.

[13]  Claudio Garcia,et al.  Multivariable identification of an activated sludge process with subspace-based algorithms , 2001 .

[14]  P A Vanrolleghem,et al.  On-line monitoring equipment for wastewater treatment processes: state of the art. , 2003, Water science and technology : a journal of the International Association on Water Pollution Research.

[15]  I. Takács A dynamic model of the clarification-thickening process , 1991 .

[16]  Wen Yu,et al.  Hierarchical Fuzzy CMAC for Nonlinear Systems Modeling , 2008, IEEE Transactions on Fuzzy Systems.

[17]  Peter A Vanrolleghem,et al.  Parallel hybrid modeling methods for a full-scale cokes wastewater treatment plant. , 2005, Journal of biotechnology.

[18]  Thomas J. McAvoy,et al.  Control of an alternating aerobic–anoxic activated sludge system — Part 1: development of a linearization-based modeling approach , 2000 .

[19]  Tianyou Chai,et al.  Effluent COD of SBR Process Prediction Model Based on Fuzzy-Neural Network , 2005, 2005 International Conference on Neural Networks and Brain.

[20]  Guillaume Patry,et al.  Constructing a model hierarchy with background knowledge for structural risk minimization: application to biological treatment of wastewater , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[21]  Carlos André Guerra Fonseca,et al.  Hierarchical Fuzzy Control , 2012 .

[22]  Wen Yu,et al.  Discrete-time neuro identification without robust modification , 2003 .

[23]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[24]  Marios M. Polycarpou,et al.  Learning and convergence analysis of neural-type structured networks , 1992, IEEE Trans. Neural Networks.

[25]  Jan F Van Impe,et al.  Linearization of the activated sludge model ASM1 for fast and reliable predictions. , 2003, Water research.

[26]  W. E. Moore,et al.  Hierarchical artificial neural network architecture , 1998, 1998 IEEE International Joint Conference on Neural Networks Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36227).