Abstract
In this work, the problem of estimating the concentration of exothermic rectors with temperature measurement is addressed. The problem is treated within a global nonlinear stochastic framework, according to the Fokker Plank-based Kushner filtering theory. The on-line solution of the associated two-dimensional partial differential equation driven by the temperature measurements yields the evolution of the conditioned concentration-temperature probability density function (PDF), with considerable more information than the one provided by standard EKF based on a local-nonlinear approach. A catalytic reactor with deterministic multistability, experimental data, and previously addressed with EKF is addressed as case example, yielding: (i) the on-line evolution of the (possibly bimodal) conditioned concentration probability density function, and (ii) mean uncertainty values which are better than the ones drawn with EKF.
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