Simulation Data: Modeling, Observer and Controller Design for AZO particle Synthesis and Characterization

Model predictive control is utilized to regulate the size of nanoparticles synthesized within a batch reactor under specific temperature, concentration, and pressure conditions. A custom model of the synthesis process is developed, focusing on integrating nucleation, growth, and aggregation phenomena of particles.

This model is constructed with a combination of partial and ordinary differential equations, which are efficiently discretized to maintain accuracy and robustness while facilitating real-time implementation of the controller. This method employs dynamic mode decomposition with control to approximate the nonlinear system as a time-discrete linear system. The initial state, estimated from the measured nanoparticle concentration, serves to initialize the optimization problem solved at each time step.