The purpose of this thesis is to design an effective nonlinear flight control system that only uses elevon to control the flying-wing UAV and to design the guidance law that can track the specified trajectory. The nonlinear dynamic inversion technique is adopted for this control system design. It can effectively control the roll rate and pitch rate of the aircraft and meet the design requirement of the desired dynamics generated to satisfy certain flying qualities. The thesis also developed an infinite-horizon LQR based three-dimensional adaptive optimal guidance law to track the designated flight path. Finally, computer simulations were successfully demonstrated to show that the proposed control law and guidance law can control the flying-wing UAV track the designated trajectory effectively.