PROFILE CONTROL IN DISTRIBUTED PARAMETER SYSTEMS USING LEXICOGRAPHIC OPTIMIZATION BASED MPC

We have studied control of spatial property in distributed parameter systems using a lexicographic optimization based MPC formulation to prioritize the different sections of the profile. We demonstrate using a hypothetical plug flow reactor that the proposed method has significant benefits when the target profile as a whole is unachievable but parts of which can be satisfied. We have also applied the proposed control strategy for property profile control in a continuous pulp digester of industrial size, which represents a large scale distributed parameter system.