Abstract: Based on the Tagaki-Sugeno (T-S) fuzzy model, a control scheme of the generalized projective synchronization was proposed for chaotic systems, with a new fuzzy-state observer designed in terms of linear matrix inequalities. Thus, the generalized projective synchronization of chaotic systems was regarded as the design of a fuzzy-state observer. According to the Lyapunov stability theory, it was verified that the proposed scheme is feasible and globally stable. Changing the scale factor of generalized projective synchronization, the chaotic signal output in any proportion to the chaotic primary driving system is obtained. The numerical simulation results verified further that the proposed scheme is available to implement the projective synchronization of the Lorenz chaotic system. The scheme is simple in design and available to be extended to other chaotic systems.