Moving horizon estimation in microalgae-bacteria based wastewater treatment using online and analytical multi-rate measurements

Population growth and industrialization have resulted into a substantial increase in wastewater production, thereby establishing water purification as a primary concern on a global scale. In this context, microalgae-bacteria based wastewater treatment has emerged as a solution for wastewater treatme...

Full description

Saved in:
Bibliographic Details
Published inAlgal research (Amsterdam) Vol. 91; p. 104338
Main Authors Bausa-Ortiz, Irina, Oliveira-Silva, Erika, Muñoz, Raúl, P. Cristea, Smaranda, de Prada, Cesar
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2025
Subjects
Online AccessGet full text
ISSN2211-9264
2211-9264
DOI10.1016/j.algal.2025.104338

Cover

Abstract Population growth and industrialization have resulted into a substantial increase in wastewater production, thereby establishing water purification as a primary concern on a global scale. In this context, microalgae-bacteria based wastewater treatment has emerged as a solution for wastewater treatment and nutrient recovery at a low-energy demand. Nevertheless, operation of this type of wastewater treatment plants is more complex and requires of advanced control systems, capable of maintaining its key variables within appropriate ranges in spite of the periodic variations in environmental variables and wastewater composition. Very often, the implementation of state feedback control laws and model-based control techniques in these processes necessitates full information of the states and other variables of the system in real-time. However, in practical scenarios, only a subset of the variables of microalgae-bacteria processes can be measured online due to the need for more reliable measuring devices or the high costs of online sensors. In addition, these biological processes are subjected to frequent variations, so that the parameters of the models representing them requires continuous adaptation. This paper presents the application of a moving horizon estimation technique to a wastewater treatment process with microalgae and bacteria. The objective of this study is to estimate those variables or parameters that cannot be measured reliably online. This process was nonlinear and subject to uncertainties in the states and parameters. The estimation was coded using MATLAB® software, and simulation results demonstrated the effectiveness of estimation in this biological process, characterized by the availability of multi-rate measurements. [Display omitted] •Moving horizon estimation was successfully applied in microalgae-bacteria processes.•State and parameter estimation was intended to monitor effluent water quality.•Online and analytical multi-rate measurements were used in the state estimation.•Estimation was conducted considering significant mismatch between plant and model.
AbstractList Population growth and industrialization have resulted into a substantial increase in wastewater production, thereby establishing water purification as a primary concern on a global scale. In this context, microalgae-bacteria based wastewater treatment has emerged as a solution for wastewater treatment and nutrient recovery at a low-energy demand. Nevertheless, operation of this type of wastewater treatment plants is more complex and requires of advanced control systems, capable of maintaining its key variables within appropriate ranges in spite of the periodic variations in environmental variables and wastewater composition. Very often, the implementation of state feedback control laws and model-based control techniques in these processes necessitates full information of the states and other variables of the system in real-time. However, in practical scenarios, only a subset of the variables of microalgae-bacteria processes can be measured online due to the need for more reliable measuring devices or the high costs of online sensors. In addition, these biological processes are subjected to frequent variations, so that the parameters of the models representing them requires continuous adaptation. This paper presents the application of a moving horizon estimation technique to a wastewater treatment process with microalgae and bacteria. The objective of this study is to estimate those variables or parameters that cannot be measured reliably online. This process was nonlinear and subject to uncertainties in the states and parameters. The estimation was coded using MATLAB® software, and simulation results demonstrated the effectiveness of estimation in this biological process, characterized by the availability of multi-rate measurements. [Display omitted] •Moving horizon estimation was successfully applied in microalgae-bacteria processes.•State and parameter estimation was intended to monitor effluent water quality.•Online and analytical multi-rate measurements were used in the state estimation.•Estimation was conducted considering significant mismatch between plant and model.
ArticleNumber 104338
Author de Prada, Cesar
Bausa-Ortiz, Irina
Muñoz, Raúl
Oliveira-Silva, Erika
P. Cristea, Smaranda
Author_xml – sequence: 1
  givenname: Irina
  surname: Bausa-Ortiz
  fullname: Bausa-Ortiz, Irina
  email: irina.bausa@uva.es
  organization: Institute of Sustainable Processes, Paseo Prado de la Magdalena 3-5, Valladolid, 47011, Spain
– sequence: 2
  givenname: Erika
  surname: Oliveira-Silva
  fullname: Oliveira-Silva, Erika
  organization: Institute of Sustainable Processes, Paseo Prado de la Magdalena 3-5, Valladolid, 47011, Spain
– sequence: 3
  givenname: Raúl
  surname: Muñoz
  fullname: Muñoz, Raúl
  organization: Department of Systems Engineering and Automatic Control, University of Valladolid, Paseo Prado de la Magdalena 3-5, Valladolid, 47011, Spain
– sequence: 4
  givenname: Smaranda
  surname: P. Cristea
  fullname: P. Cristea, Smaranda
  organization: Institute of Sustainable Processes, Paseo Prado de la Magdalena 3-5, Valladolid, 47011, Spain
– sequence: 5
  givenname: Cesar
  surname: de Prada
  fullname: de Prada, Cesar
  organization: Institute of Sustainable Processes, Paseo Prado de la Magdalena 3-5, Valladolid, 47011, Spain
BookMark eNp9kE1OwzAQhS1UJErpCdj4Ail2Eqf2ggWq-JNAbGBtTZxJcZU4yHZblQ1Xx6EsWDHSaJ5G-p5m3jmZuMEhIZecLTjj1dVmAd0aukXOcpE2ZVHIEzLNc84zlVfl5I8-I_MQNiyVKjkTbEq-noeddWv6Pnj7OTiKIdoeok3SOtpb44fRHbMaTERvgdYQsKF7CBH3kFY0eoTYo4t0G0arwXXWIQXXpIbuEK2BjvbbLtrMJ4L2CGHrcUTCBTltoQs4_50z8nZ3-7p6yJ5e7h9XN0-ZyYWIWdECCCYrVfNaKr5salOVEpCJRnDJKiWNKLmSDWtlW5dKQZkDKmwLU7ZLJooZKY6-6aEQPLb6w6dH_UFzpscY9Ub_xKjHGPUxxkRdHylMp-0seh2MRWewsR5N1M1g_-W_AbjNgXk
Cites_doi 10.1016/j.algal.2018.11.009
10.1115/1.3658902
10.1016/j.jprocont.2004.10.002
10.1016/j.enconman.2013.08.028
10.1016/j.biortech.2018.07.100
10.1016/j.ces.2012.09.005
10.1007/s00449-016-1602-0
10.1016/j.compchemeng.2020.107219
10.1016/j.watres.2006.06.011
10.1007/s11356-019-05824-5
10.1002/acs.3127
10.1016/S1474-6670(17)40871-8
10.1016/j.compchemeng.2006.05.031
10.1109/TAC.1971.1099826
10.1016/S0168-1656(03)00188-3
10.1016/0043-1354(91)90066-Y
10.1109/TAC.1966.1098323
10.1016/j.ces.2014.11.016
10.1109/TAC.1967.1098584
10.1016/j.scitotenv.2017.05.215
10.1109/TME.1964.4323124
10.1016/j.compchemeng.2015.01.019
10.1016/j.scitotenv.2018.09.345
10.1016/j.watres.2013.04.007
10.1115/1.3662552
10.1016/j.cherd.2018.04.032
10.1016/j.watres.2020.116734
ContentType Journal Article
Copyright 2025 The Authors
Copyright_xml – notice: 2025 The Authors
DBID 6I.
AAFTH
AAYXX
CITATION
DOI 10.1016/j.algal.2025.104338
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Botany
EISSN 2211-9264
ExternalDocumentID 10_1016_j_algal_2025_104338
S2211926425004497
GroupedDBID --M
.~1
0R~
1~.
1~5
4.4
457
4G.
5VS
6I.
7-5
8P~
AAEDT
AAEDW
AAFTH
AAHBH
AAHCO
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AARJD
AATLK
AATTM
AAXKI
AAXUO
AAYWO
ABGRD
ABGSF
ABJNI
ABMAC
ABUDA
ABWVN
ABXDB
ACDAQ
ACGFS
ACLOT
ACRLP
ACRPL
ADBBV
ADEZE
ADNMO
ADQTV
ADUVX
AEBSH
AEHWI
AEIPS
AEKER
AEQOU
AFJKZ
AFTJW
AFXIZ
AGHFR
AGUBO
AGYEJ
AHIDL
AIEXJ
AIIUN
AIKHN
AITUG
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
APXCP
AXJTR
BELTK
BKOJK
BLXMC
EBS
EFJIC
EFKBS
EFLBG
EJD
FDB
FEDTE
FIRID
FNPLU
FYGXN
GBLVA
HVGLF
HZ~
JARJE
KOM
M41
MO0
O-L
O9-
OAUVE
P-8
P-9
PC.
Q38
ROL
SDF
SPC
SPCBC
SSA
SSR
SSU
SSZ
T5K
~G-
~HD
AAYXX
CITATION
ID FETCH-LOGICAL-c255t-3faa50869b1b8917dbc648ae05d5180698c54198d0f8fb499a42ae9ef3c4f7053
IEDL.DBID .~1
ISSN 2211-9264
IngestDate Sat Oct 25 05:26:53 EDT 2025
Sat Oct 25 17:45:41 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Keywords microalgae
state estimation
photobioreactor
moving horizon estimation
software sensors
wastewater treatment
Language English
License This is an open access article under the CC BY-NC-ND license.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c255t-3faa50869b1b8917dbc648ae05d5180698c54198d0f8fb499a42ae9ef3c4f7053
OpenAccessLink https://www.sciencedirect.com/science/article/pii/S2211926425004497
ParticipantIDs crossref_primary_10_1016_j_algal_2025_104338
elsevier_sciencedirect_doi_10_1016_j_algal_2025_104338
PublicationCentury 2000
PublicationDate October 2025
2025-10-00
PublicationDateYYYYMMDD 2025-10-01
PublicationDate_xml – month: 10
  year: 2025
  text: October 2025
PublicationDecade 2020
PublicationTitle Algal research (Amsterdam)
PublicationYear 2025
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Su, Li, Xu (bb0060) 2003; 105
Risbeck, Rawlings (bb0170) 2016
Kalman, Bucy (bb0055) 1961; 83
Metcalf & Eddy Inc. (bb0125) 2003
Luenberger (bb0045) 1964; 8
Takács, Patryioand, Nolasco (bb0160) 1991; 25
Busch (bb0105) 2013; 47
Solimeno, Parker, Lundquist, García (bb0145) 2017; 601–602
Rawlings, Bakshi (bb0080) 2006; 30
Alessandri, Battistelli (bb0085) 2020; 34
Chae, Kang (bb0005) 2013; 75
Mohd Ali, Ha Hoang, Hussain, Dochain (bb0025) 2015; 76
Raïssi, Ramdani, Candau (bb0100) 2005; 15
Casagli, Zuccaro, Bernard, Steyer, Ficara (bb0155) 2021; 190
MathWorks Inc (bb0165) 2024
Arnold, Dietze (bb0110) 2001; 34
Stiles (bb0015) 2018; 267
Rawlings (bb0075) 2014
Tebbani, Le Brusquet, Petre, Selisteanu (bb0090) 2013
Yin, Decardi-Nelson, Liu (bb0115) 2018; 134
Solimeno, García (bb0150) 2019; 650
Luenberger (bb0040) 1966; 11
Henze, Gujer, Takashi, van Loosdrecht, International Water Association (bb0130) 2000
Luenberger (bb0030) 1971; 16
García-Mañas, Guzmán, Berenguel, Acién (bb0065) 2019; 37
Bausa-Ortiz, Muñoz, Torres-Franco, Cristea, de Prada (bb0140) 2024; 86
Elsheikh, Hille, Tatulea-Codrean, Krämer (bb0095) 2021; 146
Kalman (bb0050) 1960; 82
Tebbani, Lopes, Becerra Celis (bb0020) 2015; 123
Solimeno, Gómez-Serrano, Acién (bb0135) 2019; 26
Yoo, Jeong, Kim, Lee (bb0070) 2016; 39
Muñoz, Guieysse (bb0010) 2006; 40
Luenberger (bb0035) 1967; AC-12
Abdollahi, Dubljevic (bb0120) 2012; 84
Bausa-Ortiz (10.1016/j.algal.2025.104338_bb0140) 2024; 86
Solimeno (10.1016/j.algal.2025.104338_bb0150) 2019; 650
Risbeck (10.1016/j.algal.2025.104338_bb0170) 2016
Muñoz (10.1016/j.algal.2025.104338_bb0010) 2006; 40
Rawlings (10.1016/j.algal.2025.104338_bb0080) 2006; 30
Stiles (10.1016/j.algal.2025.104338_bb0015) 2018; 267
Henze (10.1016/j.algal.2025.104338_bb0130) 2000
Luenberger (10.1016/j.algal.2025.104338_bb0040) 1966; 11
Rawlings (10.1016/j.algal.2025.104338_bb0075) 2014
Casagli (10.1016/j.algal.2025.104338_bb0155) 2021; 190
Luenberger (10.1016/j.algal.2025.104338_bb0030) 1971; 16
Tebbani (10.1016/j.algal.2025.104338_bb0090) 2013
García-Mañas (10.1016/j.algal.2025.104338_bb0065) 2019; 37
Luenberger (10.1016/j.algal.2025.104338_bb0035) 1967; AC-12
Luenberger (10.1016/j.algal.2025.104338_bb0045) 1964; 8
Arnold (10.1016/j.algal.2025.104338_bb0110) 2001; 34
Busch (10.1016/j.algal.2025.104338_bb0105) 2013; 47
Solimeno (10.1016/j.algal.2025.104338_bb0135) 2019; 26
Takács (10.1016/j.algal.2025.104338_bb0160) 1991; 25
Abdollahi (10.1016/j.algal.2025.104338_bb0120) 2012; 84
Mohd Ali (10.1016/j.algal.2025.104338_bb0025) 2015; 76
Alessandri (10.1016/j.algal.2025.104338_bb0085) 2020; 34
Yin (10.1016/j.algal.2025.104338_bb0115) 2018; 134
MathWorks Inc (10.1016/j.algal.2025.104338_bb0165) 2024
Elsheikh (10.1016/j.algal.2025.104338_bb0095) 2021; 146
Yoo (10.1016/j.algal.2025.104338_bb0070) 2016; 39
Chae (10.1016/j.algal.2025.104338_bb0005) 2013; 75
Su (10.1016/j.algal.2025.104338_bb0060) 2003; 105
Tebbani (10.1016/j.algal.2025.104338_bb0020) 2015; 123
Metcalf & Eddy Inc. (10.1016/j.algal.2025.104338_bb0125) 2003
Raïssi (10.1016/j.algal.2025.104338_bb0100) 2005; 15
Kalman (10.1016/j.algal.2025.104338_bb0055) 1961; 83
Kalman (10.1016/j.algal.2025.104338_bb0050) 1960; 82
Solimeno (10.1016/j.algal.2025.104338_bb0145) 2017; 601–602
References_xml – volume: 16
  start-page: 596
  year: 1971
  end-page: 602
  ident: bb0030
  article-title: An Introduction to Observers
  publication-title: IEEE Trans Automat Contr
– volume: 601–602
  start-page: 646
  year: 2017
  end-page: 657
  ident: bb0145
  article-title: Integral microalgae-bacteria model (BIO_ALGAE): Application to wastewater high rate algal ponds
  publication-title: Sci. Total Environ.
– volume: 84
  start-page: 619
  year: 2012
  end-page: 627
  ident: bb0120
  article-title: Lipid production optimization and optimal control of heterotrophic microalgae fed-batch bioreactor
  publication-title: Chem. Eng. Sci.
– volume: 39
  start-page: 1235
  year: 2016
  end-page: 1246
  ident: bb0070
  article-title: Optimization of microalgal photobioreactor system using model predictive control with experimental validation
  publication-title: Bioprocess Biosyst. Eng.
– volume: 86
  start-page: 2025
  year: 2024
  ident: bb0140
  article-title: Parameter estimation in anoxic aerobic algal-bacterial photobioreactor devoted to carbon and nutrient removal
  publication-title: Algal Res.
– year: 2016
  ident: bb0170
  article-title: MPCTools: Nonlinear model predictive control tools for CasADi
– volume: 30
  start-page: 1529
  year: 2006
  end-page: 1541
  ident: bb0080
  article-title: Particle filtering and moving horizon estimation
  publication-title: Comput Chem Eng
– start-page: 1
  year: 2014
  end-page: 7
  ident: bb0075
  article-title: Encyclopedia of systems and control
  publication-title: Encyclopedia of Systems and Control
– volume: 75
  start-page: 664
  year: 2013
  end-page: 672
  ident: bb0005
  article-title: Estimating the energy independence of a municipal wastewater treatment plant incorporating green energy resources
  publication-title: Energ. Conver. Manage.
– volume: 146
  year: 2021
  ident: bb0095
  article-title: A comparative review of multi-rate moving horizon estimation schemes for bioprocess applications
  publication-title: Comput Chem Eng
– volume: 15
  start-page: 537
  year: 2005
  end-page: 545
  ident: bb0100
  article-title: Bounded error moving horizon state estimator for non-linear continuous-time systems: Application to a bioprocess system
  publication-title: J. Process Control
– volume: 26
  start-page: 25855
  year: 2019
  end-page: 25868
  ident: bb0135
  article-title: BIO_ALGAE 2: improved model of microalgae and bacteria consortia for wastewater treatment
  publication-title: Environ. Sci. Pollut. Res.
– volume: 134
  start-page: 405
  year: 2018
  end-page: 419
  ident: bb0115
  article-title: Subsystem decomposition and distributed moving horizon estimation of wastewater treatment plants
  publication-title: Chem. Eng. Res. Des.
– volume: 267
  start-page: 732
  year: 2018
  end-page: 742
  ident: bb0015
  article-title: Using microalgae in the circular economy to valorise anaerobic digestate: challenges and opportunities
  publication-title: Bioresour. Technol.
– volume: 34
  start-page: 703
  year: 2020
  end-page: 705
  ident: bb0085
  article-title: Moving horizon estimation: Open problems, theoretical progress, and new application perspectives
  publication-title: Int J Adapt Control Signal Process
– volume: 11
  start-page: 190
  year: 1966
  end-page: 197
  ident: bb0040
  article-title: Observers for multivariable systems
  publication-title: IEEE Trans Automat Contr
– year: 2003
  ident: bb0125
  article-title: Wastewater Engineering: Treatment and Reuse
– year: 2024
  ident: bb0165
  article-title: MATLAB
– year: 2000
  ident: bb0130
  article-title: Task group on mathematical modelling for design and operation of biological wastewater treatment
  publication-title: Activated sludge models ASM1, ASM2, ASM2d and ASM3
– volume: 25
  start-page: 1263
  year: 1991
  end-page: 1271
  ident: bb0160
  article-title: A dynamic model of the clarification-thickening process
  publication-title: Wat. Res.
– volume: 105
  start-page: 165
  year: 2003
  end-page: 178
  ident: bb0060
  article-title: State and parameter estimation of microalgal photobioreactor cultures based on local irradiance measurement
  publication-title: J. Biotechnol.
– volume: 650
  start-page: 1818
  year: 2019
  end-page: 1831
  ident: bb0150
  article-title: Microalgae and bacteria dynamics in high rate algal ponds based on modelling results: long-term application of BIO_ALGAE model
  publication-title: Sci. Total Environ.
– volume: 190
  year: 2021
  ident: bb0155
  article-title: ALBA: a comprehensive growth model to optimize algae-bacteria wastewater treatment in raceway ponds
  publication-title: Water Res.
– volume: 40
  start-page: 2799
  year: 2006
  end-page: 2815
  ident: bb0010
  article-title: Algal-bacterial processes for the treatment of hazardous contaminants: a review
  publication-title: Water Res.
– volume: 37
  start-page: 103
  year: 2019
  end-page: 114
  ident: bb0065
  article-title: Biomass estimation of an industrial raceway photobioreactor using an extended Kalman filter and a dynamic model for microalgae production
  publication-title: Algal Res
– volume: 47
  start-page: 4774
  year: 2013
  end-page: 4787
  ident: bb0105
  article-title: State estimation for large-scale wastewater treatment plants
  publication-title: Water Res.
– volume: 83
  start-page: 95
  year: 1961
  end-page: 108
  ident: bb0055
  article-title: New results in linear filtering and prediction theory
  publication-title: J. Basic Eng.
– volume: AC-12
  start-page: 290
  year: 1967
  end-page: 293
  ident: bb0035
  article-title: Canonical forms for linear multivariable systems
  publication-title: IEEE Trans Automat Contr
– volume: 82
  start-page: 35
  year: 1960
  end-page: 45
  ident: bb0050
  article-title: A new approach to linear filtering and prediction problems
  publication-title: Journal of Basic Engineering
– volume: 8
  start-page: 74
  year: 1964
  end-page: 80
  ident: bb0045
  article-title: Observing the state of a linear system
  publication-title: IEEE Transactions on Military Electronics
– volume: 123
  start-page: 207
  year: 2015
  end-page: 219
  ident: bb0020
  article-title: Nonlinear control of continuous cultures of Porphyridium purpureum in a photobioreactor
  publication-title: Chem. Eng. Sci.
– volume: 76
  start-page: 27
  year: 2015
  end-page: 41
  ident: bb0025
  article-title: Review and classification of recent observers applied in chemical process systems
  publication-title: Comput. Chem. Eng.
– start-page: 539
  year: 2013
  end-page: 544
  ident: bb0090
  article-title: Robust moving horizon state estimation: application to bioprocesses
  publication-title: 2013 17th International Conference on System Theory, Control and Computing, ICSTCC 2013; Joint Conference of SINTES 2013, SACCS 2013, SIMSIS 2013 - Proceedings
– volume: 34
  start-page: 545
  year: 2001
  end-page: 550
  ident: bb0110
  article-title: Nonlinear moving horizon state estimation of an activated sludge model
  publication-title: IFAC Proceedings Volumes
– volume: 37
  start-page: 103
  issue: November 2018
  year: 2019
  ident: 10.1016/j.algal.2025.104338_bb0065
  article-title: Biomass estimation of an industrial raceway photobioreactor using an extended Kalman filter and a dynamic model for microalgae production
  publication-title: Algal Res
  doi: 10.1016/j.algal.2018.11.009
– volume: 83
  start-page: 95
  issue: 1
  year: 1961
  ident: 10.1016/j.algal.2025.104338_bb0055
  article-title: New results in linear filtering and prediction theory
  publication-title: J. Basic Eng.
  doi: 10.1115/1.3658902
– volume: 15
  start-page: 537
  issue: 5
  year: 2005
  ident: 10.1016/j.algal.2025.104338_bb0100
  article-title: Bounded error moving horizon state estimator for non-linear continuous-time systems: Application to a bioprocess system
  publication-title: J. Process Control
  doi: 10.1016/j.jprocont.2004.10.002
– volume: 75
  start-page: 664
  year: 2013
  ident: 10.1016/j.algal.2025.104338_bb0005
  article-title: Estimating the energy independence of a municipal wastewater treatment plant incorporating green energy resources
  publication-title: Energ. Conver. Manage.
  doi: 10.1016/j.enconman.2013.08.028
– volume: 86
  start-page: 2025
  issue: November
  year: 2024
  ident: 10.1016/j.algal.2025.104338_bb0140
  article-title: Parameter estimation in anoxic aerobic algal-bacterial photobioreactor devoted to carbon and nutrient removal
  publication-title: Algal Res.
– volume: 267
  start-page: 732
  issue: July
  year: 2018
  ident: 10.1016/j.algal.2025.104338_bb0015
  article-title: Using microalgae in the circular economy to valorise anaerobic digestate: challenges and opportunities
  publication-title: Bioresour. Technol.
  doi: 10.1016/j.biortech.2018.07.100
– volume: 84
  start-page: 619
  year: 2012
  ident: 10.1016/j.algal.2025.104338_bb0120
  article-title: Lipid production optimization and optimal control of heterotrophic microalgae fed-batch bioreactor
  publication-title: Chem. Eng. Sci.
  doi: 10.1016/j.ces.2012.09.005
– volume: 39
  start-page: 1235
  issue: 8
  year: 2016
  ident: 10.1016/j.algal.2025.104338_bb0070
  article-title: Optimization of microalgal photobioreactor system using model predictive control with experimental validation
  publication-title: Bioprocess Biosyst. Eng.
  doi: 10.1007/s00449-016-1602-0
– volume: 146
  year: 2021
  ident: 10.1016/j.algal.2025.104338_bb0095
  article-title: A comparative review of multi-rate moving horizon estimation schemes for bioprocess applications
  publication-title: Comput Chem Eng
  doi: 10.1016/j.compchemeng.2020.107219
– volume: 40
  start-page: 2799
  issue: 15
  year: 2006
  ident: 10.1016/j.algal.2025.104338_bb0010
  article-title: Algal-bacterial processes for the treatment of hazardous contaminants: a review
  publication-title: Water Res.
  doi: 10.1016/j.watres.2006.06.011
– year: 2000
  ident: 10.1016/j.algal.2025.104338_bb0130
  article-title: Task group on mathematical modelling for design and operation of biological wastewater treatment
– volume: 26
  start-page: 25855
  issue: 25
  year: 2019
  ident: 10.1016/j.algal.2025.104338_bb0135
  article-title: BIO_ALGAE 2: improved model of microalgae and bacteria consortia for wastewater treatment
  publication-title: Environ. Sci. Pollut. Res.
  doi: 10.1007/s11356-019-05824-5
– start-page: 1
  year: 2014
  ident: 10.1016/j.algal.2025.104338_bb0075
  article-title: Encyclopedia of systems and control
– volume: 34
  start-page: 703
  issue: 6
  year: 2020
  ident: 10.1016/j.algal.2025.104338_bb0085
  article-title: Moving horizon estimation: Open problems, theoretical progress, and new application perspectives
  publication-title: Int J Adapt Control Signal Process
  doi: 10.1002/acs.3127
– volume: 34
  start-page: 545
  issue: 8
  year: 2001
  ident: 10.1016/j.algal.2025.104338_bb0110
  article-title: Nonlinear moving horizon state estimation of an activated sludge model
  publication-title: IFAC Proceedings Volumes
  doi: 10.1016/S1474-6670(17)40871-8
– year: 2003
  ident: 10.1016/j.algal.2025.104338_bb0125
– volume: 30
  start-page: 1529
  issue: 10–12
  year: 2006
  ident: 10.1016/j.algal.2025.104338_bb0080
  article-title: Particle filtering and moving horizon estimation
  publication-title: Comput Chem Eng
  doi: 10.1016/j.compchemeng.2006.05.031
– start-page: 539
  year: 2013
  ident: 10.1016/j.algal.2025.104338_bb0090
  article-title: Robust moving horizon state estimation: application to bioprocesses
– volume: 16
  start-page: 596
  issue: 6
  year: 1971
  ident: 10.1016/j.algal.2025.104338_bb0030
  article-title: An Introduction to Observers
  publication-title: IEEE Trans Automat Contr
  doi: 10.1109/TAC.1971.1099826
– year: 2016
  ident: 10.1016/j.algal.2025.104338_bb0170
– volume: 105
  start-page: 165
  issue: 1–2
  year: 2003
  ident: 10.1016/j.algal.2025.104338_bb0060
  article-title: State and parameter estimation of microalgal photobioreactor cultures based on local irradiance measurement
  publication-title: J. Biotechnol.
  doi: 10.1016/S0168-1656(03)00188-3
– volume: 25
  start-page: 1263
  issue: 10
  year: 1991
  ident: 10.1016/j.algal.2025.104338_bb0160
  article-title: A dynamic model of the clarification-thickening process
  publication-title: Wat. Res.
  doi: 10.1016/0043-1354(91)90066-Y
– volume: 11
  start-page: 190
  issue: 2
  year: 1966
  ident: 10.1016/j.algal.2025.104338_bb0040
  article-title: Observers for multivariable systems
  publication-title: IEEE Trans Automat Contr
  doi: 10.1109/TAC.1966.1098323
– volume: 123
  start-page: 207
  year: 2015
  ident: 10.1016/j.algal.2025.104338_bb0020
  article-title: Nonlinear control of continuous cultures of Porphyridium purpureum in a photobioreactor
  publication-title: Chem. Eng. Sci.
  doi: 10.1016/j.ces.2014.11.016
– volume: AC-12
  start-page: 290
  issue: 3
  year: 1967
  ident: 10.1016/j.algal.2025.104338_bb0035
  article-title: Canonical forms for linear multivariable systems
  publication-title: IEEE Trans Automat Contr
  doi: 10.1109/TAC.1967.1098584
– volume: 601–602
  start-page: 646
  year: 2017
  ident: 10.1016/j.algal.2025.104338_bb0145
  article-title: Integral microalgae-bacteria model (BIO_ALGAE): Application to wastewater high rate algal ponds
  publication-title: Sci. Total Environ.
  doi: 10.1016/j.scitotenv.2017.05.215
– year: 2024
  ident: 10.1016/j.algal.2025.104338_bb0165
– volume: 8
  start-page: 74
  issue: 2
  year: 1964
  ident: 10.1016/j.algal.2025.104338_bb0045
  article-title: Observing the state of a linear system
  publication-title: IEEE Transactions on Military Electronics
  doi: 10.1109/TME.1964.4323124
– volume: 76
  start-page: 27
  year: 2015
  ident: 10.1016/j.algal.2025.104338_bb0025
  article-title: Review and classification of recent observers applied in chemical process systems
  publication-title: Comput. Chem. Eng.
  doi: 10.1016/j.compchemeng.2015.01.019
– volume: 650
  start-page: 1818
  year: 2019
  ident: 10.1016/j.algal.2025.104338_bb0150
  article-title: Microalgae and bacteria dynamics in high rate algal ponds based on modelling results: long-term application of BIO_ALGAE model
  publication-title: Sci. Total Environ.
  doi: 10.1016/j.scitotenv.2018.09.345
– volume: 47
  start-page: 4774
  issue: 13
  year: 2013
  ident: 10.1016/j.algal.2025.104338_bb0105
  article-title: State estimation for large-scale wastewater treatment plants
  publication-title: Water Res.
  doi: 10.1016/j.watres.2013.04.007
– volume: 82
  start-page: 35
  issue: 1
  year: 1960
  ident: 10.1016/j.algal.2025.104338_bb0050
  article-title: A new approach to linear filtering and prediction problems
  publication-title: Journal of Basic Engineering
  doi: 10.1115/1.3662552
– volume: 134
  start-page: 405
  issue: 2013
  year: 2018
  ident: 10.1016/j.algal.2025.104338_bb0115
  article-title: Subsystem decomposition and distributed moving horizon estimation of wastewater treatment plants
  publication-title: Chem. Eng. Res. Des.
  doi: 10.1016/j.cherd.2018.04.032
– volume: 190
  year: 2021
  ident: 10.1016/j.algal.2025.104338_bb0155
  article-title: ALBA: a comprehensive growth model to optimize algae-bacteria wastewater treatment in raceway ponds
  publication-title: Water Res.
  doi: 10.1016/j.watres.2020.116734
SSID ssj0000941050
Score 2.3712149
Snippet Population growth and industrialization have resulted into a substantial increase in wastewater production, thereby establishing water purification as a...
SourceID crossref
elsevier
SourceType Index Database
Publisher
StartPage 104338
SubjectTerms microalgae
moving horizon estimation
photobioreactor
software sensors
state estimation
wastewater treatment
Title Moving horizon estimation in microalgae-bacteria based wastewater treatment using online and analytical multi-rate measurements
URI https://dx.doi.org/10.1016/j.algal.2025.104338
Volume 91
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  customDbUrl:
  eissn: 2211-9264
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0000941050
  issn: 2211-9264
  databaseCode: GBLVA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier ScienceDirect
  customDbUrl:
  eissn: 2211-9264
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0000941050
  issn: 2211-9264
  databaseCode: .~1
  dateStart: 20120501
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier ScienceDirect (LUT)
  customDbUrl:
  eissn: 2211-9264
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0000941050
  issn: 2211-9264
  databaseCode: ACRLP
  dateStart: 20120501
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  customDbUrl:
  eissn: 2211-9264
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0000941050
  issn: 2211-9264
  databaseCode: AIKHN
  dateStart: 20120501
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELYqYGBBPEV5VB4YMc3DdpKxVFQF1C5QqVvkxA4E0aRqi1AZ4K9zl0cBCTEwZIgTK9bZucfn786EnMV-IuGZw1zXMYwL12HKJIJJZQLjqATWEOIdg6Hsj_jNWIwbpFvnwiCtstL9pU4vtHXV0q6k2Z6mafvOweJkYM_BiFucB5hRzrmHpxhcvNsrnAXCF3AhEGrB9xl2qIsPFTQvzJjALQhH4Hani3kqvxmob0ant022Km-RdsoB7ZCGyXbJxmUOHt1yj3wMCjiAPuaz9C3PKBbMKDMRaZrRCVLt8LuGRWVJZkXRZmn6quYImUETXfHMKRLgH2hZOIOqTMOlnpcF0k0L1iHDohJ08oUpzvfJqHd13-2z6kAFFkPksGBuohQ4ZDKI7MiHOE1HseS-MpbQwvYtGfix4HbgayvxkwhiIcUdnLPEjXniwe96QNayPDOHhAY68ISQRisNwbWxI648T0lwBrgfRNprkvNaiuG0rJsR1oSyp7AQeohCD0uhN4msJR3-mP4QNPtfHY_-2_GYbOJdycs7IWuL2Ys5Bf9iEbWKBdQi653r2_7wE_xN0d8
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagIMGCeIry9MCIaZPYTjJCRVWg7UIrdYuc2IEgmlZtESoD_HXu8iggIQaGLLZOic7OvfzdZ0LOIi-WMGczx7EN48KxmTKxYFIZ39gqhj2E9Y5OV7b6_HYgBkukUfbCIKyysP25Tc-sdTFSK7RZGydJ7d5GcjLw5-DE65z77jJZ4cJ2MQO7eLcWhRbIXyCGwFoLCjCUKNmHMpwXtkzgGYQt8LzTwUaV3zzUN6_T3CQbRbhIL_Mv2iJLJt0mq1cjCOnmO-Sjk9UD6ONokryNUoqMGXkrIk1SOkSsHb7XsDDnZFYUnZamr2qKNTMYogugOUUE_APNmTOoSjU86nmelbppBjtkyCpBh19Fxeku6Teve40WK25UYBGkDjPmxEpBRCb90Ao9SNR0GEnuKVMXWlheXfpeJLjle7oee3EIyZDiNi5a7EQ8duF_3SOVdJSafUJ97btCSKOVhuzaWCFXrqskRAPc80PtVsl5qcVgnBNnBCWi7CnIlB6g0oNc6VUiS00HP9Y_ANP-l-DBfwVPyVqr12kH7Zvu3SFZx5kcpHdEKrPJizmGYGMWnmSb6RMCvNN0
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Moving+horizon+estimation+in+microalgae-bacteria+based+wastewater+treatment+using+online+and+analytical+multi-rate+measurements&rft.jtitle=Algal+research+%28Amsterdam%29&rft.au=Bausa-Ortiz%2C+Irina&rft.au=Oliveira-Silva%2C+Erika&rft.au=Mu%C3%B1oz%2C+Ra%C3%BAl&rft.au=P.+Cristea%2C+Smaranda&rft.date=2025-10-01&rft.pub=Elsevier+B.V&rft.issn=2211-9264&rft.eissn=2211-9264&rft.volume=91&rft_id=info:doi/10.1016%2Fj.algal.2025.104338&rft.externalDocID=S2211926425004497
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2211-9264&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2211-9264&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2211-9264&client=summon