Considering a model of air breathing hypersonic vehicle, a robust adaptive control strategy and stability analysis is presented. In light of the non minimum phase property of hypersonic vehicle, output redefinition is carried out to make the unstable zero dynamics exhibit an asymmetrically stable behavior. To achieve the stable tracking of both velocity and flight path angle references, a feedback linearization control method is adopted. Moreover, a switching control method is employed to eliminate the effect of model uncertainties, thus improving the robust of the system. The stability analysis shows that the control system has a common Lyapunov function and all of the states are stable. Finally, the simulation results show that the designed controller can track the reference trajectories effectively in given disturbances.