Multiple observer design for a non-linear Takagi–Sugeno system submitted to unknown inputs and outputs

In this study, the authors focus on the state estimation of a non-linear system described by a Takagi-Sugeno multiple model submitted to unknown inputs and outputs. The proposed approach consists of a mathematical transformation which enables to consider the unknown outputs as unknown inputs that can be eliminated by a designed multiple observer. To evaluate the efficiency of the proposed approach, the convergence conditions of the state estimation error are formulated as linear matrix inequalities. Simulation examples are given to illustrate the proposed methods.