Observer design for hyperbolic PDEs system with application to a fixed-bed chemical reactor model

This work is devoted to the development of an optimal infinite-dimensional Luenberger observer for a system of hyperbolic PDEs. For this purpose, the duality fact linking the control design and the observer design is used. 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 the process of fixed-bed reactor to validate the performances of the designed observer-controller via numerical simulation. Estimation and control of the fixed-bed reactor state is investigated by using the developed algorithm.