In order to minish the error boundaries of system output and control parameter governed by e-modification law, the robust model reference adaptive controller (MRAC) for linear system's relative degree equale to or more than one are designed respectively. The designing process of Lyapunov proves that the output signals and control parameters of the proposed controller updated by e-sigma-modification law are uniformly bounded. The policy of choosing adaptive gains is also proposed. Finally, the damage tolerant flight test was conducted through cascading to guidance law for enroute flight. The flight test shows that the controller could not only quickly stabilize the aircraft with one-sided wing damage largely but also continue to recover the performance and track waypoints in allowable deflection of control surfaces. The effectiveness and practicability of the algorithm are verified.