Intercepting a Superior Missile: Trajectory Optimization Approach to a Pursuit-Evasion Game

Mohammad Altaher, Omaima Nomir () and Samir ElMougy ()
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Mohammad Altaher: Computers and Information Sciences, Mansoura University, Mansoura, Egypt
Omaima Nomir: Computers and Information Sciences, Mansoura University, Mansoura, Egypt
Samir ElMougy: Computers and Information Sciences, Mansoura University, Mansoura, Egypt

International Game Theory Review (IGTR), 2020, vol. 22, issue 04, 1-21

Abstract: This paper handles the problem of intercepting a superior missile using a formation of lower-capabilities pursuers. The problem is formulated as multi-player differential game and solved using optimal control techniques. This approach makes use of the Apollonius circles as a final path constraint of the problem in order to achieve the capturing conditions. Additionally, a dimensionality reduction technique based on differential flatness property of the formation is investigated.

Keywords: Differential game; dimensionality reduction; trajectory optimization; differential flatness (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219198920500048

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