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dc.contributor.authorMechhoud, Sarra
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2019-09-17T13:07:02Z
dc.date.available2019-09-17T13:07:02Z
dc.date.issued2019-08-08
dc.identifier.citationMechhoud, S., & Laleg-Kirati, T.-M. (2019). Bounded bilinear control of coupled first-order hyperbolic PDE and infinite dimensional ODE in the framework of PDEs with memory. Journal of Process Control, 81, 223–231. doi:10.1016/j.jprocont.2019.06.006
dc.identifier.doi10.1016/j.jprocont.2019.06.006
dc.identifier.urihttp://hdl.handle.net/10754/656773
dc.description.abstractIn this work, we consider the problem of bounded bilinear tracking control of a system of coupled first-order hyperbolic partial differential equation (PDE) with an infinite dimensional ordinary differential equation (ODE). This coupled PDE-infinite ODE system can be viewed as a degenerate system of two coupled first-order hyperbolic PDEs, the velocity of the ODE part vanishing. First, we convert this PDE-infinite ODE system into a first-order hyperbolic PDE with memory and investigate the bounded bilinear control problem in this framework. We consider as manipulated variable the constrained wave propagation velocity, which makes the control problem bounded and bilinear, and we take the measurements at the boundaries. To account for the actuator's constraints, we develop conditions under which the bounded control law ensures stability and tracking performances. This leads to a specification of the state-space region that enforces the desired system's closed-loop behaviour. To overcome the lack of full-state measurements, we design an observer-based bounded output-feedback control law which guarantees the reference tracking and uniform asymptotic stability of the system in closed-loop. A strong motivation of our work is the control problem of the solar collector parabolic trough where the manipulated control variable (the pump volumetric flow rate) is bilinear with respect to the PDE-infinite ODE model, and the measurements are taken at the boundary (tube's outlet). Simulation results illustrate the efficiency of the proposed control strategy.
dc.description.sponsorshipResearch reported in this publication has been supported by the King Abdullah University of Science and Technology (KAUST).
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0959152418302439
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Process Control. 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 Process Control, [[Volume], [Issue], (2019-09-01)] DOI: 10.1016/j.jprocont.2019.06.006 . © 2019. 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.subjectDistributed parameter systems
dc.subjectSystem of coupled PDE-infinite ODE
dc.subjectEnergy-like bilinear control
dc.subjectBounded control
dc.subjectBoundary observer design
dc.subjectBounded output feedback control
dc.titleBounded bilinear control of coupled first-order hyperbolic PDE and infinite dimensional ODE in the framework of PDEs with memory
dc.typeArticle
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Process Control
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Electrical Engineering, University of 20 August 1955 Skikda, El Hadaik, 21000 Skikda, Algeria
kaust.personLaleg-Kirati, Taous-Meriem
dc.date.published-online2019-08-08
dc.date.published-print2019-09


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