Abstract: With the W-shaped tailless aircraft which is based on forward-swept wing configuration and the integrated design of blended wing-fuselage took as a control object, by the linear quadratic Gaussian with loop transfer recovery (LQG/LTR) method of multivariable robust control, the aircraft′s lateral-directional control system was designed. The inherent instability of this special configuration, the problem of control system′s instability and lack of control accuracy which may be caused by the aircraft motion model′s uncertainty and random disturbance were solved. The simulation results show that the lateral-directional command can be followed accurately, and the control system not only has good robustness, but also has good regulating process, which satisfy the lateral-directional control design requests of the W-shaped tailless aircraft.