Towards a controllability analysis of multiscale systems: application of the set-theoretic approach to a semi-batch emulsion polymerization process

•A framework for evaluating the controllability of multiscale systems based on a set-theoretic approach is presented.•The curse of dimensionality is overcome combining Variance Algebra concepts and a statistical modeling approach to obtain a closed-form from a multiscale semi-batch emulsion polymerization.•Results shows that the PSD (mesoscopic variable) and the secondary particle nucleation rate (microscopic variable) are both output-controllable.•Three different scenarios were evaluated to better understand the process capabilities of achieving the desired product quality specifications.