Abstarct: Linear Parameter Varying systems are linear dynamical systems whose mathematical descxription depends on parameters that change values over time. LPV approximation could be equivalent to the original nonlinear system. Recently, considerable attention has been focused on the LPV fault detection approaches, due to possibility of using linear approaches for LPV systems. In this thesis a model baxsed fault estimation approach is presented for a class of Linear Parameter Varying (LPV) systems subject to sesnor, actuator and component faults using dissipativity theory and Energetic approach. Please notice that both multiplicative and additive fault has been considered. In order to estimate the faults, an energetic baxsed approach is considered. Finally, a fault tolerant approach for overactuated-oversensed systems subject to multiplicative and additive faults has been presented. All the theorem and Lema are proofed using Lyapunov theory and Linear Matrix Inequality (LMI).