The missile roll control system is considered based on design of autopilot that controls the roll angle of a missile. The Linear Quadratic Regulator Controller (LQR) is involved in controlling the roll angle of missile autopilot system. The roll controllers are represented in the second order time domain system and the results of LQR control is distinguished with the results of sliding mode control (SMC) and Fuzzy logic controller (FLC). Then, the behaviour of roll control systems is analysed to decide which controller gives better performance result with respect to the desired roll angle. As per the literature survey analysis, it is clear that LQR controller deliver the best performance than sliding mode controller and fuzzy logic controller. In the design of a missile roll control of an autopilot LQR is most convincingly employed. The stable performance characteristics are obtained by decoupling the dynamics of missile roll. The assessment on the effective stabilization of the missile autopilot in a practical model is discussed in this paper. Linear quadratic regulator exhibits the better effectiveness than the Fuzzy Logic Controller and Sliding Mode Control.