The missile pitch-axis autopilot design is revisited using a new and recently available LPV control technique. The missile plant model is characterized by an LFT representation. The synthesis task is conducted by exploiting new capabilities of the LPV method: a set of H²/H criteria is considered and different Lyapunov and scaling variables are used for each channel/specification. The method is shown to provide additional flexibility to tradeoff conflicting and demanding performance and robustness specifications for the missile while preserving the practical advantage of previous single-objective LPV methods.