Dynamic model inversion is a popular method for flight controllers of air vehicles reducing the need for gain scheduling. However, imperfect model inversion, and non-accurate aerodynamic data may cause degradation of performance, and may lead to un-stability of the controller. The novel L1 adaptive control augmentation system offers an adaptive element to augment the control signal to account for matched and un-matched system uncertainties. In this paper, dynamic inversion controllers designed for the control of a missile are augmented with L1 adaptive controllers. The resulting controllers are examined through high fidelity, nonlinear, 6 D.o.F. simulations.