Use of minimum-time controllers in vertically-launched surface-to-air missiles
Mull, Timothy Brian
Titus, Harold A.
Burl, Jeffrey B.
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This thesis develops the concept of minimum-time (Bang-Bang) controllers and their application to missile control. Based on Pontryagin's minimum principle, a minimum-time second order controller is derived. This controller is then applied to control of a vertically-launched surface-to-air missile. In the boost phase of missile flight, the minimum-time controller drives the missile body axis from vertical to a commanded angle in minimum time. In the terminal phase of the missile-target engagement, the minimum time controller drives the time rate of change of the line of sight angle to zero in minimum time. The results obtained with the minimum time controller are compared with those obtained with the proportional navigation control algorithm, which is commonly used in tactical surface-to-air and air-to-air missile.
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