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dc.contributor.authorGhattassi, Mohamed
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.contributor.authorVivalda, Jean Claude
dc.date.accessioned2020-07-21T11:17:13Z
dc.date.available2019-12-29T12:44:08Z
dc.date.available2020-07-21T11:17:13Z
dc.date.issued2020-07-13
dc.date.submitted2019-10-21
dc.identifier.citationGhattassi, M., Laleg, T.-M., & Vivalda, J.-C. (2020). Analysis and output tracking design for the direct contact membrane distillation parabolic system. Journal of Mathematical Analysis and Applications, 491(2), 124367. doi:10.1016/j.jmaa.2020.124367
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.doi10.1016/j.jmaa.2020.124367
dc.identifier.urihttp://hdl.handle.net/10754/660854
dc.description.abstractThis paper considers the performance output tracking for a boundary controlled Direct Contact Membrane Distillation (DCMD) system. First, the mathematical properties of a recently developed mathematical model of the DCMD system are discussed. This model consists of parabolic equations coupled at the boundary. Then, the existence and uniqueness of the solutions are analyzed, using the theory of operators. Some regularity results of the solution are also established. A particular case showing the diagonal property of the principal operator is studied. Then, based on one-side feedback law the control problem, which consists of tracking both the feed and permeate outlet temperatures of the membrane distillation system is formulated. A servomechanism and an output feedback controller are proposed to solve the control problem. In addition, an extended state observer aimed at estimating both the system state and disturbance, based on the temperature measurements of the inlet is proposed. Thus, by some regularity for the reference signal and when the disturbance vanishes, we prove the exponential decay of the output tracking error. Moreover, we show the performance of the control strategy in presence of the flux noise.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0022247X20305291
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, [491, 2, (2020-07-13)] DOI: 10.1016/j.jmaa.2020.124367 . © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleAnalysis and output tracking design for the direct contact membrane distillation parabolic system
dc.typeArticle
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentEstimation, Modeling and ANalysis Group
dc.identifier.journalJournal of Mathematical Analysis and Applications
dc.eprint.versionPre-print
dc.contributor.institutionInria, Villers-lès-Nancy, F-54600, France
dc.contributor.institutionUniversité de Lorraine, IECL, UMR 7502, Vandœuvre-lès-Nancy, F-54506, France
dc.identifier.volume491
dc.identifier.issue2
dc.identifier.pages124367
dc.identifier.arxivid1902.00964
kaust.personGhattassi, Mohamed
kaust.personLaleg-Kirati, Taous-Meriem
dc.date.accepted2020-07-13
dc.identifier.eid2-s2.0-85087838804
refterms.dateFOA2019-12-29T12:44:59Z
dc.date.published-online2020-07-13
dc.date.published-print2020-11
dc.date.posted2019-02-03


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