Discrete Output Regulator Design for a Mono-tubular Reactor with Recycle

This manuscript addresses design of discrete output regulator for an important class of distributed parameter systems problem given by the mono-tubular reactor with recycle stream. The proposed discrete regulator utilizes an output gain based boundary applied feedback to ensure the closed-loop system stability and output tracking of the polynomial type of reference signals. The discrete nature of design is achieved by application of structure preserving Caley-Tustin discretization to the mono-tubular reactor model with recycle given by the first order transport hyperbolic PDE without use of any spatial approximation and/or order reduction. The output regulator design admits the discrete exo-system representation which leads to the corresponding algebraic Sylvester equation which is easily solvable. Finally, the simulation studies provide an insight in the trajectory tracking performances of design controller.