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Fuzzy H∞ excitation controller is presented for a single machine infinite-bus system. Firstly, the model of a single machine infinite-bus system with an excitation controller is changed to a linear system form based on the traditional method. A series of partial dynamic model are educed from the linear system. Then the degree of membership function is presented, based on which, the overall dynamic system (fuzzy T-S model system) is established. A H∞ excitation controller is designed for every dynamic subsystem by LMI (Linear Matrix Inequality) method. PDC (Parallel Distributed Compensation) is used to design the controller for the overall system. The sufficient condition which guarantees the stability of the overall system is proposed. It can be seen from the MATLAB simulations that the PDC can both improve the static stability and transient stability of power system, and possess good robustness.