Tamaji , Imam Robandi, Fuzzy Logic Based on Lyapunov Solution in Power System Stability Improvement, International Journal of System Signal Control and Engineering Application, Volume 10,Issue 1, 2017, Pages 7-15, ISSN 1997-5422, ijssceapp.2017.7.15, (https://makhillpublications.co/view-article.php?doi=ijssceapp.2017.7.15) Abstract: There are many methods to design controller of power system. In this study, we design the controller of generator power system to stabilize the electricity supply. The system is assumed the single machine infinite bus. The mathematical model of power system stabilizer is non-linear. The first time, the system is written in the state space system, then it is designed the output feedback controller by using Lyapunov and fuzzy Lyapunov method, finally the performance of SMIB by Lyapunov and fuzzy Lyapunov method are compared with the performance by using pole placement and routh-hurwitz method. The simulation has been done with some parameters feedback gain such as the feedback gain K, Kfuzzy, K pole , KRH based on Lyapunov, fuzzy Lyapunov, fuzzy pole placement and fuzzy Routh-Hurwitz method, respectively. Based on our simulation we know that Lyapunov and fuzzy Lyapunov have almost same performance and have the best performance compared with fuzzy pole placement and fuzzy Routh-Hurwitz. Keywords: fuzzy pole placement;Single machine infinite bus;fuzzy Lyapunov function;output feedback controller;Lyapunov;fuzzy Routh-Hurwitz