Optimal guidance strategy for the defense of a non-manoeuvrable target in 3-dimensions
Document Type
Article
Publication Date
7-2020
Abstract
An engagement scenario involving the defence of a non-manoeuvrable agent, called the Target, is considered. A pursuing agent, engages the non-manoeuvrable Target while a defending agent, which aims at intercepting the Pursuer to protect the Target, is considered in 3-dimensions. A zero-sum differential game is formulated where the objective of the Defender is to capture the Pursuer and maximise the terminal Pursuer-Target range at final time; while the Pursuer aims at minimising the terminal Pursuer-Target range at final time. The terminal time is not fixed and is determined by the interception of the Pursuer by the Defender. The saddle point state-feedback strategies for the Pursuer and the Defender are obtained using a gradient-based minimisation routine. A comparison of the saddle point strategy against a heuristic approach, Pure Pursuit, is conducted. The comparison demonstrates that poorer performance is achieved by players who deviate from the optimal saddle point strategy; and, as a result, the saddle point strategies outperform the heuristic method.
Source Publication
IET Control Theory & Applications (ISSN 1751-8644)
Recommended Citation
Weintraub, I. E., Garcia, E., & Pachter, M. (2020). Optimal guidance strategy for the defense of a non-manoeuvrable target in 3-dimensions. IET Control Theory & Applications, 14(11), 1531–1538. https://doi.org/10.1049/iet-cta.2019.0541
Comments
© 2020 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology.
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Co-author Isaac Weintraub was an AFIT PhD candidate at the time of this conference. (AFIT-ENG-DS-21-M-091, March 2021)