On-line structured identification of switching systems with possibly varying orders

Laurent Bako (1) , Guillaume Mercère (2) , Stéphane Lecoeuche (1)

1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 LAII [Poitiers] - Laboratoire d'automatique et d'informatique industrielle [EA 1219]

This paper is concerned with the identification of piecewise linear MIMO state space systems in a recursive way. The proposed method summons up benefits of recursive parameters estimation, on-line switching times detection and on-line order estimation. A structured identification scheme which applied on-line, allows to track both the extended observability matrix range space and its dimension. This method is used on-line to blindly identify switching systems and to label the different submodels. Since subspace identification methods rely on batch data block matrices, a minimum dwell time in each discrete state is necessary to achieve good performances. Simulation results comfort this point and illustrate the abilities and the benefits of the proposed approach.

Domaines: Automatique / Robotique

Laurent Bako, Guillaume Mercère, Stéphane Lecoeuche. On-line structured identification of switching systems with possibly varying orders. European Control Conference 2007, ECC'07, Jul 2007, Kos, Greece. pp.CDROM. ⟨hal-00164363⟩