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PI-controlled bioreactor as a generalized Liénard system

dc.contributor.authorIbarra Junquera, Vrani
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.date.accessioned2018-03-21T23:42:20Z
dc.date.available2018-03-21T23:42:20Z
dc.date.issued2007
dc.identifier.citationV. Ibarra-Junquera, H.C. Rosu, PI-controlled bioreactor as a generalized Liénard system, Computers & Chemical Engineering, Volume 31, Issue 3, 2007, Pages 136-141, ISSN 0098-1354, http://dx.doi.org/10.1016/j.compchemeng.2006.05.023.
dc.identifier.urihttp://hdl.handle.net/11627/3462
dc.description.abstract"It is shown that periodic orbits can emerge in Cholette’s bioreactor model working under the influence of a PI-controller. We find a diffeomorphic coordinate trans-formation that turns this controlled enzymatic reaction system into a general-ized Lie´nard form. Furthermore, we give sufficient conditions for the existence and uniqueness of limit cycles in the new coordinates. We also perform numerical simu-lations illustrating the possibility of the existence of a local center (period annulus). A result with possible practical applications is that the oscillation frequency is a function of the integral control gain parameter."
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectBioreactor
dc.subjectLienard Systems
dc.subjectLimit Cycles
dc.subjectPI-Controller
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titlePI-controlled bioreactor as a generalized Liénard system
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.compchemeng.2006.05.023
dc.rights.accessAcceso Abierto


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