Based　on　Coefficient　Diagram　Methods　(CDMs),　a　polynomial-control　scheme　for　air-to-air　missiles　is　proposed.　According　to　the　analysis　of　CDM-based　polynomial　control　theory　and　missile　dynamics,　two　overload-loop　controllers　with　different　structures　for　air-to-air　missiles　are　designed.　First,　the　structure　and　order　of　the　controller　and　its　corresponding　characteristic　polynomial　of　the　closed-loop　control　system　are　defined　following　the　coefficient　diagram.　Then,　parameters　of　the　polynomial　are　determined　based　on　the　desired　control　specifications.　Numerical　simulation　studies　for　different　controllers　under　various　conditions,　including　the　variation　of　aerodynamic　parameters,　different　controller　structures　and　output　disturbances,　are　implemented　to　explore　the　characteristics　of　different　control　systems.　Simulated　results　verify　that　the　controller　designed　via　CDMs　has　better　robustness　in　comparison　with　the　traditional　three-loop　autopilot.　©　2013　IFAC.