Open AccessOptimal guidance strategy for the defense of a non‐manoeuvrable target in 3‐dimensions
Author(s) -
Weintraub Isaac,
Garcia Eloy,
Pachter Meir
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0541
Subject(s) - pursuer , saddle point , control theory (sociology) , terminal (telecommunication) , heuristic , saddle , computer science , interception , range (aeronautics) , point (geometry) , mathematical optimization , mathematics , engineering , control (management) , artificial intelligence , aerospace engineering , telecommunications , ecology , geometry , biology
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.