Two variations of certainty control are presented. The original certainty control formulation produced a shrinking sphere about the predicted impact point with the surface being a function of estimated error. The first variation of this formulation introduces a control effectiveness ratio to regulate thrusting time. The second formulation replaces the shrinking sphere with a shrinking ellipsoid; if the predicted miss is inside or touching the ellipsoid, thrusting is not necessary. Variational performances in lateral thrusting are examined for a hypervelocity, exoatmospheric, orbital vehicle in the final 30 seconds of flight while it is attempting to intercept a boosting missile. Neither variation simultaneously reduces maneuvering cost and miss distance, indicating that the original formulation effectively uses the state error estimates.... Thrust control, Terminal guidance, Guided missiles, Weapon control, Control theory, Hypervelocity rockets, Kinetic energy.


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