Adaptive control of water quality in water distribution networks

• Published in: IEEE transactions on control systems technology Vol. 14; no. 1; pp. 149 - 156
• Main Authors: Zhong Wang, Polycarpou, M.M., Uber, J.G., Feng Shang
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptative systems; Adaptive control; Applied sciences; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Distributed control; Exact sciences and technology; Intelligent networks; Modelling and identification; periodic control; Pi control; Power engineering and energy; Proportional control; Quality control; Uncertainty; Water; water distribution network; water quality; Parameter estimation; Water distribution; Concentration; Fourier series; Adaptive control; Periodic control; Time varying system; Uncertain system; water distribution network; Quality control; Water quality; System identification; Distribution network
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2005.859633

Based on investigating the spatially distributed input-output relationship of disinfectant residual in water distribution networks, this brief paper formulates the water quality control problem of multiple nodes in a decomposed adaptive control framework, with special consideration on the periodic variation of parameter uncertainty due to varying consumer demands. The water distribution network is decomposed to subnetworks based on the effect of the decay of chlorine concentration. The periodic parametric uncertainty is represented by a Fourier series with on-line parameter estimation of the unknown coefficients. A simulation example is provided to illustrate the performance of the algorithm in a real water distribution network.