The damping during low frequency oscillation is one of a troublesome problem that occurs in single machine infinite-bus power system, power system stabilizers (PSSs) are used to solve this problem. In This paper, a study of using fuzzy logic technique to enhance the stability of a single machine infinite bus system is proposed. Fuzzy logic control is used to design the control system of PSSs to achieve recognized improvement in Dynamic Stability. The usage of this technique which based on Artificial Intelligence (AI) fuzzy logic and Model Predictive Control (MPC) made the signal damped out very fast, reduced Steady state error, maximum overshooting.