Abstarct: In this thesis, robust observer design for uncertain linear time invariant singular systems is generalized. The generalized dynamic observer have better performance in contrast with the proportional and proportional-integral observers. Also, a robust state observer for the linear singular system is proposed while the system has parametric uncertainty in the derivative, the system and the input matrices of its state equations. Another novelty in this method is that in addition to the state variables, their derivatives are also estimated by the proposed observer. Sufficient conditions for the existence of response and observer's convergence are proved using the Lyapunov method and linear matrix inequalities, and parameters of the observer are obtained by solving these inequalities. Finally, the design loop can be completed by designing a state feedback controller to make admissible the singular system.