Dissipative boundary PI controller for an adiabatic plug-flow reactor with mass recycle

摘要

In this contribution we propose dissipation conditions using the second law of thermodynamics for a class of first order hyperbolic thermodynamic systems. The entropy function is used as a storage function and the internal entropy production as the dissipation function. The supply rate is found to be proportional to the difference of the entropy at the boundaries, and the time derivative of the entropy balance allows to define a PI controller with variable parameters designed using a cascade structure, which is applied to an adiabatic plug flow reactor with mass recycle, using the recycle rate as the manipulated variable. Finally, the controller is tested with numerical simulations tracking a desired yield.