<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The design of an interval observer for estimation of unmeasured state variables with application to drinking water distribution systems is described. In particular, the design process of such an observer is considered for estimation of the water quality described by the concentration of free chlorine. The interval observer is derived to produce the robust interval bounds on the estimated water quality state variables. The stability and robustness of the interval observer are investigated under uncertainty in system dynamics, inputs, initial conditions and measurement errors. The bounds on the estimated variables are generated by solving two systems of first-order ordinary differential equations. For that reason, despite a large scale of the systems, the numerical efficiency is sufficient for the on-line monitoring of the water quality. Finally, in order to validate the performance of the observer, it is applied to the model of a real water distribution network.</p></abstract>

The design of an interval observer for estimation of unmeasured state variables with application to drinking water distribution systems is described. In particular, the design process of such an observer is considered for estimation of the water quality described by the concentration of free chlorine. The interval observer is derived to produce the robust interval bounds on the estimated water quality state variables. The stability and robustness of the interval observer are investigated under uncertainty in system dynamics, inputs, initial conditions and measurement errors. The bounds on the estimated variables are generated by solving two systems of first-order ordinary differential equations. For that reason, despite a large scale of the systems, the numerical efficiency is sufficient for the on-line monitoring of the water quality. Finally, in order to validate the performance of the observer, it is applied to the model of a real water distribution network.

An Interval Estimator for Chlorine Monitoring in Drinking Water Distribution Systems Under Uncertain System Dynamics, Inputs and Chlorine Concentration Measurement Errors

United Kingdom of Great Britain and Northern Ireland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The design of an interval observer for estimation of unmeasured state variables with application to drinking water distribution systems is described. In...

An Interval Estimator for Chlorine Monitoring in Drinking Water Distribution Systems Under Uncertain System Dynamics, Inputs and Chlorine Concentration Measurement Errors

Published Online: Jul 08, 2017

Page range: 309 - 322

Received: Jun 13, 2016

Accepted: Mar 16, 2017

DOI: https://doi.org/10.1515/amcs-2017-0022

Keywords
observers, bounding methods, modelling dynamics, water quality

© by Rafał Łangowski

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An Interval Estimator for Chlorine Monitoring in Drinking Water Distribution Systems Under Uncertain System Dynamics, Inputs and Chlorine Concentration Measurement Errors

Published Online: Jul 08, 2017

Page range: 309 - 322

Received: Jun 13, 2016

Accepted: Mar 16, 2017

DOI: https://doi.org/10.1515/amcs-2017-0022

Keywordsobservers, bounding methods, modelling dynamics, water quality

© by Rafał Łangowski

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
observers, bounding methods, modelling dynamics, water quality