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This manuscript describes the approach to stabilize the line of sight (LOS) of 2-axis gimbal system. For stabilization of LOS the direct approach technique have been used. LOS stabilization is needed in missile guidance, gun target, and handheld cameras. The compensator has been composed utilizing Linear-Quadratic-Gaussian (LQG), Linear-Quadratic Regulator (LQR) and H-infinity technique furthermore with PID controller, to meet the prerequisite of following command rate, unsettling influence constriction and stability robustness. The plant model was simulated under disturbance and without disturbance. This paper has also demonstrated bode plot and the step response of LQR/LQG and H-infinity controller to meet the design specifications. The simulation of the plant model is carried under MATLAB tool. The result collected from H-infinity controller are far better than above all methodologies as it reduces the error up to minimum and also reduces the overshoot in the system and make the system speed faster. It also increases the Gain margin and Phase margin of the system and makes the system without lack of robustness.