Abstract: Linear matrix inequality(LMI), H-infinity　 control and fuzzy logic control techniq ues were used for constructing such controller. With these techniques, the synth esis problem was reduced to a convex optimization related to LMI. A detailed pro cedure for developing a fuzzy logic gain scheduler over the full flight envelope was given in order to overcome the drawbacks of traditional design procedure ba sed on experience and ensure the global stability and robust performance of the flight control system. Simulation were constructed on an airplane model, the res ults indicates that the design method is feasible and robust to unmodeled dynami cs.