Based on the similarity theory and the SOS(sum of squares) programming, taking into account a corrected piecewise LPV(linear parameter varying) model of aero-engine in the whole flight envelope, a switching /LPV control based on the guardian maps theory is proposed. According to the corrected variables, the state space model is converted to the corrected state space model. The corrected high-pressure speed is adopted as the scheduling variable and to fit a corrected LPV model. By incorporating technique and the guardian maps theory, a set of controllers are designed such that the closed loop poles of LPV system lie in a desired area. The stability conditions of the closed loop LPV system are converted to SOS constraints and the controllers are obtained by solving the problem of SOS programming. A switching LPV control for aero-engine in the full envelope is proposed based on the Lyapunov theory. The switching LPV controller can ensure the stability of the closed-loop. The validity and performance of the theoretical results are demonstrated through the numerical simulation.