Fuzzy Logic Based LQG Controller Design for Inverted Pendulum On Cart

In this paper, the fuzzy logic controller-based LQG (Linear Quadratic Gaussian) will be developed to stabilize the Inverted Pendulum (IP) on Cart. The LQG that is the combination of LQR and Kalman filter is designed to stabilize the system and eliminate the influences of both the disturbance and measurement noise. Combining the Fuzzy logic Controller and LQG (Linear Quadratic Gaussian) will not only assist to decrease considerably the number of fuzzy rules and avoid the “fuzzy rule explosion” phenomenon of the fuzzy logic controller but also improve the performance of the system. Finally, the simulation results are proved to prove the effectiveness of the proposed method and the comparison is also carried to show the superior of the Fuzzy Logic-based LQG controller with respect to the conventional LQG controller.