Modelling and state observation of Simulated Moving Bed processes based on an explicit functional wave form description

T. Kleinert and J. Lunze

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 68, issue 3, 235-270

Abstract: This paper proposes a method for the on-line determination of the concentration profiles in a Simulated Moving Bed (SMB) process in terms of discrete measurement values. A direct solution of this state observation problem is very complex because the physical SMB model exhibits the infinite state dimension of distributed-parameter systems with switching initial conditions and cyclic boundary conditions. This paper proposes a solution that is based on a parametric model describing the wave fronts of the concentration profiles of SMB processes. The parametric model is derived for SMB processes which are a good approximation of the TMB. The model parameters determine the form, the movement and the position of the wave fronts. If the parameters are interpreted as a model state, a three-dimensional linear state-space model describing the properties of the profiles is obtained whose state can be determined by a Luenberger observer. An application study shows the simplicity of the observation scheme and the correctness of the results under practical circumstances like the existence of model uncertainties.

Keywords: Simulated Moving Bed process; Distributed-parameter system; Process modelling; Explicit functional wave form description; State observation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:68:y:2005:i:3:p:235-270

DOI: 10.1016/j.matcom.2004.12.004

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