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AuthorMohammadi, L.
AuthorAksikas, I.
AuthorDubljevic, S.
AuthorForbes, J. F.
Available date2024-03-18T06:08:41Z
Publication Date2014
Publication NameIFAC Proceedings Volumes (IFAC-PapersOnline)
ResourceScopus
ISSN14746670
URIhttp://dx.doi.org/10.3182/20140824-6-za-1003.01784
URIhttp://hdl.handle.net/10576/53127
AbstractThis paper deals with boundary optimal control problem for coupled parabolic PDEODE systems. The problem is studied using infinite-dimensional state space representation of the coupled PDE-ODE system. Linearization of the non-linear system is established around a steady state profile. Using some state transformations, the linearized system is formulated as a well-posed infinite-dimensional system with bounded input and output operators. It has been shown that the resulting system is a Riesz Spectral system. The LQ-control problem is studied on the basis of the solution of the corresponding eigenvalues problem. The results have been applied to the case study of catalytic cracking reactor with catalyst deactivation. Numerical simulations are performed to illustrate the performances of the developed controller.
Languageen
PublisherIFAC Secretariat
SubjectAutomation
Catalyst deactivation
Eigenvalues and eigenfunctions
Linear systems
Linearization
Optimal control systems
Ordinary differential equations
State space methods
Boundary optimal control
Catalytic cracking reactor
Infinite dimensional
Infinite-dimensional system
Riesz spectral systems
State space representation
State transformation
Steady state profiles
Catalytic cracking
TitleBoundary optimal control of coupled parabolic PDE-ODE systems
TypeConference
Pagination1574-1579
Volume Number19
dc.accessType Abstract Only


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