A multi-model non-fragile soft switching robust tracking control strategy was proposed in the presence of the controller gain perturbations for a near space vehicle with variable sweep wings, which had complicated dynamic characteristics such as strong nonlinearity and coupling. The work space of the system was divided into multiple regions. Then local models were built and local controllers were designed according to the performance index by descriptor system method in each region. The complexity and calculation were decreased. The feasible solution could be obtained more easily and the conservatism was reduced as the limitations on undetermined matrices were relaxed. The system stateswere smooth in the process of switching controllers on the blurred boundaries. At last, the attitude tracking of the near space vehicle during its wing morphing was controlled. Simulation results showed that the control system has good control performance.