Unknown Inputs Nonlinear Observer for an Activated Sludge Process

This paper deals with the jointly estimation problem of unknown inputs and nonmeasured states of one altering aerated activated sludge process (ASP). In order to provide accurate and economic concentration measures during aerobic and anoxic phases, a cascade high gain observer (HGO) approach is deve...

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Main Authors: Feten Smida, Taoufik Ladhari, Salim Hadj Saïd, Faouzi M’sahli
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/1382914
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spelling doaj-d04eac3cedec4f75b37168f66577af7e2020-11-25T01:02:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/13829141382914Unknown Inputs Nonlinear Observer for an Activated Sludge ProcessFeten Smida0Taoufik Ladhari1Salim Hadj Saïd2Faouzi M’sahli3Department of Electrical Engineering, ENIM, Road Ibn Eljazzar, 5019 Monastir, TunisiaDepartment of Electrical Engineering, ENIM, Road Ibn Eljazzar, 5019 Monastir, TunisiaDepartment of Electrical Engineering, ENIM, Road Ibn Eljazzar, 5019 Monastir, TunisiaDepartment of Electrical Engineering, ENIM, Road Ibn Eljazzar, 5019 Monastir, TunisiaThis paper deals with the jointly estimation problem of unknown inputs and nonmeasured states of one altering aerated activated sludge process (ASP). In order to provide accurate and economic concentration measures during aerobic and anoxic phases, a cascade high gain observer (HGO) approach is developed. Only two concentrations are available; the other process’s states are assumed unavailable. The observer converges asymptotically and it leads to a good estimation of the unavailable states which are the ammonia and substrate concentration, as well as a quite reconstruction of the unknown inputs, which are the influent ammonia and the influent substrate concentrations. To highlight the efficiency of the proposed HGO with this MIMO system’s dynamics, simulation results are validated with experimental data.http://dx.doi.org/10.1155/2018/1382914
collection DOAJ
language English
format Article
sources DOAJ
author Feten Smida
Taoufik Ladhari
Salim Hadj Saïd
Faouzi M’sahli
spellingShingle Feten Smida
Taoufik Ladhari
Salim Hadj Saïd
Faouzi M’sahli
Unknown Inputs Nonlinear Observer for an Activated Sludge Process
Mathematical Problems in Engineering
author_facet Feten Smida
Taoufik Ladhari
Salim Hadj Saïd
Faouzi M’sahli
author_sort Feten Smida
title Unknown Inputs Nonlinear Observer for an Activated Sludge Process
title_short Unknown Inputs Nonlinear Observer for an Activated Sludge Process
title_full Unknown Inputs Nonlinear Observer for an Activated Sludge Process
title_fullStr Unknown Inputs Nonlinear Observer for an Activated Sludge Process
title_full_unstemmed Unknown Inputs Nonlinear Observer for an Activated Sludge Process
title_sort unknown inputs nonlinear observer for an activated sludge process
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description This paper deals with the jointly estimation problem of unknown inputs and nonmeasured states of one altering aerated activated sludge process (ASP). In order to provide accurate and economic concentration measures during aerobic and anoxic phases, a cascade high gain observer (HGO) approach is developed. Only two concentrations are available; the other process’s states are assumed unavailable. The observer converges asymptotically and it leads to a good estimation of the unavailable states which are the ammonia and substrate concentration, as well as a quite reconstruction of the unknown inputs, which are the influent ammonia and the influent substrate concentrations. To highlight the efficiency of the proposed HGO with this MIMO system’s dynamics, simulation results are validated with experimental data.
url http://dx.doi.org/10.1155/2018/1382914
work_keys_str_mv AT fetensmida unknowninputsnonlinearobserverforanactivatedsludgeprocess
AT taoufikladhari unknowninputsnonlinearobserverforanactivatedsludgeprocess
AT salimhadjsaid unknowninputsnonlinearobserverforanactivatedsludgeprocess
AT faouzimsahli unknowninputsnonlinearobserverforanactivatedsludgeprocess
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