Proportional Navigation: Optimal Homing and Optimal Evasion

This note presents a game-theoretic justification of the homing guidance law called proportional navigation, in which a moving pursuer homes in on a moving target by turning with a rate proportional to the turn rate of the line-of-sight. It also uses optimal control to show that the optimal evasive...

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Bibliographic Details
Published in:SIAM review 2015-01, Vol.57 (4), p.611-624
Main Authors: Girard, Anouck R., Kabamba, Pierre T.
Format: Article
Language:English
Subjects:
EDUCATION
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Summary:This note presents a game-theoretic justification of the homing guidance law called proportional navigation, in which a moving pursuer homes in on a moving target by turning with a rate proportional to the turn rate of the line-of-sight. It also uses optimal control to show that the optimal evasive maneuver must jink, i.e., use a sequence of perfectly timed hard turns to the left and to the right. Throughout the note, the developments are at a level suitable for classroom use.
ISSN:0036-1445
1095-7200
DOI:10.1137/130947301