Journal of Process Control, Vol.22, No.10, 1856-1864, 2012
Reachability-based feedback control of crystal size distribution in batch crystallization processes
In the paper, we investigate the controllability of crystallization processes by reachability analysis. Crystallization processes are governed by hyperbolic partial differential equations. Given a desired crystal size distribution, we study its reachability by the temperature control from the initial condition without seeding. When the desired crystal size distribution is reachable, we construct an admissible control steering the state to the desired distribution. Our construction is developed based on the discretized model. To ensure that the desired distribution be reached facing model uncertainty, we propose an output feedback control law to correct errors resulted from disturbed parameters of the model. (C) 2012 Elsevier Ltd. All rights reserved.
Keywords:Reachability analysis;Population balance;Crystal size distribution;Hyperbolic partial differential equations;Output feedback control;Batch crystallization process;Observer design