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In order to simultaneously achieve high maneuverability and lowest off-target for the wrestle air-to-air missile, a hybrid BTT/STT autopilot is proposed. According to BTT control good turning ability in big angle-of-attack and STT control excellent accuracy in small angle-of-attack, whom would be chose on the basis of overlod command given by guidance system. We changed overload command into correlative angle instruction, then built a two-step controller based on dynamic inversion algorithm, together with actuators and missile dynamics to constitute a hybrid BTT/STT autopilot. The simulation results show that this autopilot can precisely track overload command during the whole flight process, simultaneously satisfy agile turning of big angle-of-attack in starting trajectory and high control precision in terminal guidance.