State estimation for non-linear systems using a decoupled multiple model Online publication date: Thu, 30-Oct-2008
by Rodolfo Orjuela, Benoit Marx, Jose Ragot, Didier Maquin
International Journal of Modelling, Identification and Control (IJMIC), Vol. 4, No. 1, 2008
Abstract: The multiple model approach is an elegant and a powerful tool for modelling real-world complex processes. In this modelling framework, a judicious combination of a set of submodels makes it possible to describe the behaviour of a non-linear system. Two different structures of multiple models can be distinguished according to whether the submodels share a common state vector (Takagi-Sugeno multiple model) or not (decoupled multiple model). This latter structure is an interesting alternative to the popular Takagi-Sugeno multiple model because different dimensions of submodels can be considered. The decoupled multiple model is nowadays increasingly used to perform the identification and the control of non-linear systems. However, to our knowledge, the state estimation problem of non-linear systems represented by this structure is not thoroughly investigated. The present paper deals with this worthwhile problem.
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