Speaker
Description
We study a class of nonlinear hyperbolic partial differential equations with boundary control. This class describes chemical reactions of the type “A → product” carried out in a plug flow reactor (PFR) in the presence of an inert component. An isoperimetric optimal control problem with periodic boundary conditions and input constraints is
formulated for the considered mathematical model in order to maximize the mean amount of product over the period. For the single-input system, the optimality of a bang-bang control strategy is proved in the class of bounded measurable inputs. The case of controlled flow rate input is also analyzed by exploiting the method of characteristics. A case study is performed to illustrate the performance of the reaction
model under different control strategies. We show that the optimal periodic boundary control improves the yield as compared to the traditional steady operation of a PFR.
