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The van de Vusse reactor is an appealing benchmark problem in industrialcontrol, since it has a non-minimum phase response. The van de Vussestochasticity is attributed to the fluctuating input flow rate. The noveltiesof the paper are two. First, we utilize the surprising power of Ito stochasticcalculus for applications to account for the van de Vusse stochasticity.Secondly, the Carleman embedding is unified with the Fokker-Planck equation forfinding the estimation of the van de Vusse reactor. The revelation of the paperis that the Carleman linearized estimate of the van de Vusse reactor is morerefined in contrast to the EKF predicted estimate. This paper will be useful topractitioners aspiring for formal methods for stochastically perturbednonlinear reactors as well as system theorists aspiring for applications oftheir theoretical results to practical problems.

Estimation of the van de Vusse reactor via Carleman embedding