This paper focuses on the design and evaluation of an explicit moving horizon controller and an explicit moving horizon estimator for a batch polymerization process. It is of particular interest since there are currently no reported case studies or implementations of the explicit parametric controller/estimator for batch and polymerization processes. In this paper we aim at achieving tight offset-free tracking of a desired reactor temperature profile, making accurate states estimation despite of the possible perturbations, and demonstrating the practical applicability to a case with industrially relevant complexity.Index Terms-batch polymerization reactor, explicit moving horizon control, explicit moving horizon estimation, offset-free tracking.