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Abstract
This paper is devoted to the design of an optimal infinite-dimensional Luenberger observer combined with a linear-quadratic state feedback controller for a system of hyperbolic PDEs. The design is based on the duality fact between the control design and the observer design. Both the original linear-quadratic and dual control problems have been solved by using the associated Riccati equations. A general algorithm that combines the designed observer together with the (estimated) state-feedback controller has been developed. The theoretical development has been applied to a fixed-bed reactor to validate the performances of the designed observer-controller via numerical simulation. Estimation and control of the temperature and the reactant concentration in a fixed-bed reactor is investigated by using the developed algorithm, which lead to express the jacket temperature (manipulated variable) as a feedback of the estimated temperature and concentration in the reactor.
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No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Ilyasse Aksikas
Ilyasse Aksikas is an associate professor of applied mathematics at Qatar University. In 2005, he obtained a PhD in applied mathematics from Universite Catholique de Louvain (Belgium). He held the position of research associate at the University of Alberta (Canada) before joining University of King Abdulaziz (KSA) in 2011. In 2012, he joined Qatar University as an assistant professor. His main research interest is in the area of system and control theory, especially infinite dimensional system theory, linear-quadratic optimal control, spectral factorization, model predictive control and dynamical analysis and control of transport-reaction chemical processes.