State estimation of unknown input fuzzy bilinear systems: Application to fault diagnosis

This article aims the observer synthesis for a class of nonlinear systems and affected by unknown inputs, represented under the multimodel bilinear formulation. Sufficient conditions to design an unknown input fuzzy bilinear observer are given in Linear Matrix Inequalities (LMIs) terms. The paper studies also the problem of fault detection and isolation. An unknown input fuzzy bilinear fault diagnosis observer design is proposed. Numerical example is given to illustrate the effectiveness of the given results.