The work presented in this dissertation is focussed on the design of robust Fault Detection and Isolation (FDI) filters for the class of LPV (Linear Parameter Varying) systems. A sufficient condition is established to guarantee sensitivity performances of the residual signal vector to faults. Robustness constraints against model perturbations and disturbances are also taken into account in the design method. A key feature of the proposed method is that it allows to include the controller actions within the synthesis procedure. The synthesis problem is formulated in terms of a convex optimization problem which is solved using LMI (Linear Matrix Inequalities) techniques.The proposed method is applied to the secondary circuit of a Nuclear Power Plant. The experimental results show the efficiency of the proposed method.