A smooth switching linear parameter varying(LPV) robust controller is proposed for the control problem of a class of morphing aircraft. The LPV model of morphing aircraft is developed, and the smooth switching control law is designed, in which the controllers of the even subsystems are smoothly scheduled between the two controllers of adjacent subsystems. Then, a sufficient condition for ensuring the LPV system exponential stable and having a certain robust performance is presented. Considering the scheduling parameter changing gradually, a switching law without constraint on average dwell time is obtained. Simulation result shows that, by using the proposed method, the aircraft system not only has good stability and robustness, but also can switch smoothly during morphing.