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AuthorAksikas, Ahmed
AuthorAksikas, Ilyasse
AuthorHayes, Robert E.
AuthorFraser Forbes, J.
Available date2024-03-18T06:08:41Z
Publication Date2020
Publication NameInternational Journal of Control
ResourceScopus
ISSN207179
URIhttp://dx.doi.org/10.1080/00207179.2018.1514531
URIhttp://hdl.handle.net/10576/53123
AbstractThis paper deals with the design of a boundary optimal controller for a general model of parabolic-hyperbolic PDEs coupled with an ODE. The augmented infinite-dimensional state-space representation has been used in order to solve the optimal state-feedback control problem. By using the perturbation theorem, it has been shown that the system generates a (Formula presented.) -semigroup on the augmented state space. Also, the dynamical properties of both the original and the augmented systems have been studied. Under some technical conditions, it has been shown that the augmented system generates an exponentially stabilisable and detectable (Formula presented.) -semigroups. The linear-quadratic control problem has been solved for the augmented system. A decoupling technique has been implemented to decouple and solve the corresponding Riccati equation. Monolithic catalyst reactor model has been used to test the performances of the developed controller through numerical simulations.
Languageen
PublisherTaylor and Francis Ltd.
Subjectboundary control system
eigenvalues problem
hyperbolic PDEs
Linear-quadratic control
operator Riccati equation
parabolic PDEs
TitleBoundary optimal control design for a system of parabolic-hyperbolic PDEs coupled with an ODE
TypeArticle
Pagination1499-1509
Issue Number7
Volume Number93
dc.accessType Abstract Only


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