An algorithm for state and parameter estimation through elimination

Krishnan Srinivasarengan (1) , José Ragot (1) , Didier Maquin (1) , Christophe Aubrun (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

We are interested in the problem of the estimation of states and some unknown parameters for a class of discrete-time nonlinear state-space model. The class contains those nonlinear models written using a Linear Parameter Varying (LPV) or a quasi-LPV form. The unknown parameters appear affinely in the LPV/quasi-LPV form. An elimination approach forms the core of the proposed algorithm that leads to the estimation of the parameter and then the states in a sliding measurement window. Several examples illustrate the mechanics and the working of the algorithm. Some insights and implications of this approach are discussed.

Mots clés: state estimation; Parameter estimation; LPV system; parity space approach

Domaines: Automatique / Robotique

Krishnan Srinivasarengan, José Ragot, Didier Maquin, Christophe Aubrun. An algorithm for state and parameter estimation through elimination. 14th International Workshop on Advanced Control and Diagnosis, ACD 2017, Nov 2017, Bucharest, Romania. ⟨hal-01637827⟩