On the use of partial explicit inversion maps in moving horizon observers

International audience ; This paper proposes a new Moving-Horizon Estimation Scheme based on the use of Partial Explicit Inversion Maps. This scheme is used to reconstruct unmeasured quantities of a dynamic system (states and/or system's parameters). The use of explicit inversion maps reduces the computational burden involved in Classical Moving Horizon Estimation techniques (MHE). The maps express a part of the problem unknowns as a function of the remaining part. The computational effort can then be focused on the remaining reduced-dimensional unknown vector. The paper shows how these maps can be derived based on a recently developed graphical-signature-oriented technique. A detailed illustrative example concerning the estimation problem in E-Coll culture is proposed to show the efficiency of the proposed methodology. (15 References).