Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River

This paper proposes the realization of a soft sensor using an adaptive algorithm with proportional correction of the gain coefficient for monitoring river water quality. This algorithm makes it possible to monitor online signals of an object described by nonlinear ordinary differential equations. Si...

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Main Authors: Przemysław Hawro, Tadeusz Kwater, Robert Pękala, Bogusław Twaróg
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/9/1883
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spelling doaj-babbb3b1263c41899cd234efa6bb4a632020-11-25T01:38:20ZengMDPI AGApplied Sciences2076-34172019-05-0199188310.3390/app9091883app9091883Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted RiverPrzemysław Hawro0Tadeusz Kwater1Robert Pękala2Bogusław Twaróg3Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, PolandInstitute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, PolandInstitute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, PolandDepartment of Computer Engineering, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia Str. 1, 35-959 Rzeszow, PolandThis paper proposes the realization of a soft sensor using an adaptive algorithm with proportional correction of the gain coefficient for monitoring river water quality. This algorithm makes it possible to monitor online signals of an object described by nonlinear ordinary differential equations. Simulation studies of a biochemically polluted river, for which the water quality was represented by biochemical oxygen demand (BOD) indices and the dissolved oxygen (DO) deficit, were carried out. The algorithm concept uses only online measurements of the object, and adaptive changes in the gain coefficient are determined based on the adaptation error adopted for this purpose. Simulation results indicated the correct functioning of the soft sensor even for inaccurately identified parameters of the mathematical model and for unknown values and intensity of disturbances affecting the object. The quality of the signals monitored via a soft sensor implemented in this way was determined with the root-mean-squared error (RMSE) and mean percentage error (MPE) indicators and compared with the Kalman filter.https://www.mdpi.com/2076-3417/9/9/1883soft sensoradaptive algorithmnonlinear differential equationsmathematical modelmonitoring quality
collection DOAJ
language English
format Article
sources DOAJ
author Przemysław Hawro
Tadeusz Kwater
Robert Pękala
Bogusław Twaróg
spellingShingle Przemysław Hawro
Tadeusz Kwater
Robert Pękala
Bogusław Twaróg
Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
Applied Sciences
soft sensor
adaptive algorithm
nonlinear differential equations
mathematical model
monitoring quality
author_facet Przemysław Hawro
Tadeusz Kwater
Robert Pękala
Bogusław Twaróg
author_sort Przemysław Hawro
title Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
title_short Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
title_full Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
title_fullStr Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
title_full_unstemmed Soft Sensor with Adaptive Algorithm for Filter Gain Correction in the Online Monitoring System of a Polluted River
title_sort soft sensor with adaptive algorithm for filter gain correction in the online monitoring system of a polluted river
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-05-01
description This paper proposes the realization of a soft sensor using an adaptive algorithm with proportional correction of the gain coefficient for monitoring river water quality. This algorithm makes it possible to monitor online signals of an object described by nonlinear ordinary differential equations. Simulation studies of a biochemically polluted river, for which the water quality was represented by biochemical oxygen demand (BOD) indices and the dissolved oxygen (DO) deficit, were carried out. The algorithm concept uses only online measurements of the object, and adaptive changes in the gain coefficient are determined based on the adaptation error adopted for this purpose. Simulation results indicated the correct functioning of the soft sensor even for inaccurately identified parameters of the mathematical model and for unknown values and intensity of disturbances affecting the object. The quality of the signals monitored via a soft sensor implemented in this way was determined with the root-mean-squared error (RMSE) and mean percentage error (MPE) indicators and compared with the Kalman filter.
topic soft sensor
adaptive algorithm
nonlinear differential equations
mathematical model
monitoring quality
url https://www.mdpi.com/2076-3417/9/9/1883
work_keys_str_mv AT przemysławhawro softsensorwithadaptivealgorithmforfiltergaincorrectionintheonlinemonitoringsystemofapollutedriver
AT tadeuszkwater softsensorwithadaptivealgorithmforfiltergaincorrectionintheonlinemonitoringsystemofapollutedriver
AT robertpekala softsensorwithadaptivealgorithmforfiltergaincorrectionintheonlinemonitoringsystemofapollutedriver
AT bogusławtwarog softsensorwithadaptivealgorithmforfiltergaincorrectionintheonlinemonitoringsystemofapollutedriver
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