Power system studies usually account for the most part of the investigations performed in master’s dissertation on electrical engineering. It is said in the dissertation that changes in the utilization conditions of the power systems usually leads to low-frequency variations. In the master’s dissertation on electrical engineering, these variations is said to be sometimes damping by itself, but sometimes they expand and result in exiting from the circuit in a part of the system. Based on the master’s dissertation on electrical engineering, small signal is at the main point of the focus, in terms of stability of the power systems. In the master’s dissertation on electrical engineering, using the fuzzy T-S method, a non-linear fuzzy stabilizer is designed for stabilizing low-frequency variations in the power system. In this dissertation, the Fuzzy T-S method is used to transform non-linear equations of the system to a series of linear sub-systems. Also, it is said in the dissertation that for any of the linear sub-systems, a controller is designed by using the parallel distributed compensator method. Finally, as for the sum of internal linear controllers, non-linear controller would be obtained. In the master’s dissertation on electrical engineering, conditions of the Liapanov’s method of stability are used as matrix inequalities. MATLAB software is used for the simulation in the dissertation. The proposed stabilizer is tested on both the single-machine and multiple-machine system and it is then compared with the designed conventional methods
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