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Article

On Reduced Observer-Bank Synthesis and Edge Implementation for Residual Chlorine Concentration Soft Sensors in Water Distribution Networks

by
Nikolaos D. Kouvakas
,
Fotis N. Koumboulis
*,
Antonios N. Menexis
,
Dimitrios G. Fragkoulis
and
Maria P. Tzamtzi
Robotics, Automatic Control and Cyber-Physical Systems Laboratory, Department of Digital Industry Technologies, School of Science, National and Kapodistrian University of Athens, Euripus Campus, 34400 Euboea, Greece
*
Author to whom correspondence should be addressed.
Water 2026, 18(15), 1924; https://doi.org/10.3390/w18151924
Submission received: 17 June 2026 / Revised: 26 July 2026 / Accepted: 3 August 2026 / Published: 6 August 2026
(This article belongs to the Special Issue Sustainable Management of Water Distribution Networks)

Abstract

In the present paper, a reduced observer-bank synthesis and edge-oriented implementation framework for a model-based residual chlorine concentration soft sensor in water distribution networks is presented. For a benchmark network described through nonlinear hydraulic and chlorine transport–reaction dynamics, local discrete-time linear approximants are derived around admissible operating points. Based on these approximants, a finite bank of full-order Luenberger-type observers is designed for the estimation of nonmeasurable chlorine concentration variables. The observer parameters are selected through a metaheuristic multicriterion tuning procedure that combines discrete-time pole-placement requirements with estimation-performance objectives. A central contribution of the paper is an observer-bank construction algorithm that eliminates redundant target operating areas. The algorithm adaptively covers the normalized input domain by generating each observer operating area after nonlinear steady-state computation, local linearization, observer tuning, and validation for each operating point. The resulting observer bank is combined with a switching supervisor based on target-area overlap and measurable-output convergence. The resulting scheme is implemented in a Node-RED edge runtime, where multiple observers execute in parallel and the supervisor/switching mechanism selects the active observer that provides the appropriate estimate. Deterministic telemetry generated by a MATLAB R2025b simulation of the water distribution network is fed to the Node-RED instance, enabling repeatable evaluation of acquisition, estimation, switching, single-stream telemetry arbitration, and runtime adaptation. Computational and edge runtime experiments demonstrate the feasibility of deploying the proposed switching-observer soft sensor for real-time chlorine monitoring in water distribution networks.
Keywords: water distribution networks; residual chlorine soft sensors; discrete-time switching observers; observer-bank construction; observer-bank reduction; Node-RED edge implementation; simulation-supported edge validation water distribution networks; residual chlorine soft sensors; discrete-time switching observers; observer-bank construction; observer-bank reduction; Node-RED edge implementation; simulation-supported edge validation

Share and Cite

MDPI and ACS Style

Kouvakas, N.D.; Koumboulis, F.N.; Menexis, A.N.; Fragkoulis, D.G.; Tzamtzi, M.P. On Reduced Observer-Bank Synthesis and Edge Implementation for Residual Chlorine Concentration Soft Sensors in Water Distribution Networks. Water 2026, 18, 1924. https://doi.org/10.3390/w18151924

AMA Style

Kouvakas ND, Koumboulis FN, Menexis AN, Fragkoulis DG, Tzamtzi MP. On Reduced Observer-Bank Synthesis and Edge Implementation for Residual Chlorine Concentration Soft Sensors in Water Distribution Networks. Water. 2026; 18(15):1924. https://doi.org/10.3390/w18151924

Chicago/Turabian Style

Kouvakas, Nikolaos D., Fotis N. Koumboulis, Antonios N. Menexis, Dimitrios G. Fragkoulis, and Maria P. Tzamtzi. 2026. "On Reduced Observer-Bank Synthesis and Edge Implementation for Residual Chlorine Concentration Soft Sensors in Water Distribution Networks" Water 18, no. 15: 1924. https://doi.org/10.3390/w18151924

APA Style

Kouvakas, N. D., Koumboulis, F. N., Menexis, A. N., Fragkoulis, D. G., & Tzamtzi, M. P. (2026). On Reduced Observer-Bank Synthesis and Edge Implementation for Residual Chlorine Concentration Soft Sensors in Water Distribution Networks. Water, 18(15), 1924. https://doi.org/10.3390/w18151924

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