Data reconciliation in generalized linear dynamic system

Mohamed Darouach (1) , Michel Zasadzinski (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

A generalized linear dynamic model or singular model, for which the standard state space representation and the Kalman filtering cannot be applied, is used to develop a new algorithm to solve the linear dynamic material balance problem. This algorithm is based on the method developed in the steady state case and leads to a recursive scheme, which is very useful in real time processing. It reduces the computational problem such as singularities and round-off errors that may occur in complex systems. Convergence conditions are given and verified for the dynamic material balance case.

Mots clés: Generalized systems; Descriptor systems; Data reconciliation; State estimation; Discrete Riccati equation; Dynamic balance equation

Domaines: Automatique / Robotique

Mohamed Darouach, Michel Zasadzinski. Data reconciliation in generalized linear dynamic system. AIChE Journal, 1991, 37 (2), pp.193-201. ⟨10.1002/aic.690370205⟩. ⟨hal-00143553⟩