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The styles of war progress with the development of science. To attack the enemy by launching ballistic missiles must come true in the future. To defense the threat of ballistic missiles is a very important work in many advanced countries. Some topics about the terminal guidance problems of high altitude anti-ballistic-missile missile are studied in this thesis, from the references to the theater-high-altitude-area-defense (THAAD) project of U.S. Army. The imaginary target, which the intercept missile must impact, is with the advantage of velocity (about twice of the velocity of the missile). Also with the limitation of the structure of the missile and the flight environment, the missile can only output thrust with fixed amplitude and perpendicular to the axis of the missile. The divert thrust is used to change the flight trajectory of the missile. A kind of proportional navigation guidance law based on the uniform concept of zero-effort-miss (ZEM) is proposed, and it is used to compute the acceleration command according to the attitude of the missile. Also, the guidance law can estimate the initial conditions the midcourse guidance must achieve. To decide the firing of impulse thrust and torque, a new firing logic based on the prediction of ZEM is proposed, too. The divert control system and the attitude control system are integrated and the performance is demonstrated by numerical simulation.
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