Neural Network Model Predictive Control of a Wastewater Treatment Bioprocess

This paper deals with the design of a nonlinear model predictive control (NMPC) scheme for the regulation of the acetate concentration in a biomethanation process – wastewater biodegradation with production of methane gas that takes place inside a Continuous Stirred Tank Bioreactor. The NMPC control structure is based on a radial basis function neural network used as on-line approximator to learn the nonlinear characteristics of process. Minimization of the cost function is realised using the Levenberg–Marquardt numerical optimisation method. Some simulation results are given to illustrate the efficiency of the proposed control strategy.

[1]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[2]  A. Isidori Nonlinear Control Systems , 1985 .

[3]  J. Rawlings,et al.  Feedback control of chemical processes using on-line optimization techniques , 1990 .

[4]  E. Petre,et al.  Neural networks based adaptive control for a class of time varying nonlinear processes , 2008, 2008 International Conference on Control, Automation and Systems.

[5]  Xiaoou Li,et al.  Some new results on system identification with dynamic neural networks , 2001, IEEE Trans. Neural Networks.

[6]  Alberto Isidori,et al.  Nonlinear control systems: an introduction (2nd ed.) , 1989 .

[7]  D. Dochain,et al.  On-Line Estimation and Adaptive Control of Bioreactors , 2013 .

[8]  E. Petre,et al.  Adaptive control strategies for a class of anaerobic depollution bioprocesses , 2008, 2008 IEEE International Conference on Automation, Quality and Testing, Robotics.

[9]  Emil Petre,et al.  Vibrational Control Of A Class Of Bioprocesses , 2001 .

[10]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[11]  Stephen P. Boyd,et al.  Fast Model Predictive Control Using Online Optimization , 2010, IEEE Transactions on Control Systems Technology.

[12]  Basil Kouvaritakis,et al.  Nonlinear predictive control : theory and practice , 2001 .

[13]  Naira Hovakimyan,et al.  Neural Network Adaptive Control for a Class of Nonlinear Uncertain Dynamical Systems With Asymptotic Stability Guarantees , 2008, IEEE Transactions on Neural Networks.

[14]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[15]  Jan F. M. Van Impe,et al.  Nonlinear and Adaptive Control in Biotechnology: A Tutorial , 1995, Eur. J. Control.

[16]  Kevin M. Passino,et al.  Decentralized adaptive control of nonlinear systems using radial basis neural networks , 1999, IEEE Trans. Autom. Control..