Authors:
Pengfei Zhang
;
Peifeng Chen
;
Hao Zhang
;
Yiqun Zhang
;
Feng Song
and
Hongwei Lan
Affiliation:
Beijing Institute of Electronic System Engineering, Beijing, 100854, China
Keyword(s):
Dual-Role, Two pursuers two evaders, simple motion, differential games.
Abstract:
Multiple players pursuit evasion differential games are significant for the development of unmanned aircraft. In this study, a two pursuers and two evaders game is to be investigated, of which the payoff function is the instant when both the evaders are first time captured by the pursuers. The pursuers wish to minimize the capture instant while the evaders have the opposite purpose. In this game, the positional coincidence of any two players implies that the two players are destroyed. Different from previous literature, the players are considered to have two roles, that is the evader has the role of escaping from the pursuer as well as the role of pursuing the pursuer. To solve the problem, we first present the state feedback strategies of the pursuers. Secondly, the payoff function and the best strategies of the evaders are deduced under the condition that the evader does not intercept the pursuers. Thirdly, by contradiction, it is proved that the capture instant will be decreased w
hen the evaders try to intercept one of the pursuers. As a result, the underlying strategies are equilibrium strategies.
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