An escape strategy in orbital pursuit-evasion games with incomplete information
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escape strategy in orbital pursuit-evasion games with incomplete information *
LI ZhenYu, ZHU Hai & LUO YaZhong
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China Received March 8, 2020; accepted May 29, 2020; published online September 29, 2020
The orbital pursuit-evasion game is typically formulated as a complete-information game, which assumes the payoff functions of the two players are common knowledge. However, realistic pursuit-evasion games typically have incomplete information, in which the lack of payoff information limits the player’s ability to play optimally. To address this problem, this paper proposes a currently optimal escape strategy based on estimation for the evader. In this strategy, the currently optimal evasive controls are first derived based on the evader’s guess of the pursuer’s payoff weightings. Then an online parameter estimation method based on a modified strong tracking unscented Kalman filter is employed to modify the guess and update the strategy during the game. As the estimation becomes accurate, the currently optimal strategy gets closer to the actually optimal strategy. Simulation results show the proposed strategy can achieve optimal evasive controls progressively and the evader’s payoff of the strategy is lower than that of the zero-sum escape strategy. Meanwhile, the proposed strategy is also effective in the case where the pursuer changes its payoff function halfway during the game. orbital pursuit-evasion, incomplete-information game, online parameter estimation Citation:
Li Z Y, Zhu H, Luo Y Z. An escape strategy in orbital pursuit-evasion games with incomplete information. Sci China Tech Sci, 2020, 63, https://doi. org/10.1007/s11431-020-1662-0
1 Introduction The orbital pursuit-evasion problem is considered to be critically significant for space security. An efficient escape strategy may enhance the survivability of a satellite in the presence of threats like the debris [1,2]. Since that the game theory provides a natural and powerful framework to model interactions among players [3,4], major efforts have been taken towards studying orbital pursuit-evasion differential games [5,6]. Typically, the pursuit-evasion game is formulated as a two-player differential game, in which an evader and a pursuer seek to minimize their individual payoffs [7]. Some researchers have also challenged the study of multiple-player pursuit-evasion games [8,9], where multiple payoff functions are involved. Generally, the payoff *Corresponding author (email: [email protected])
function of a game (e.g., the two-player game) is assumed to be common knowledge for both sides, i.e., each player has full knowledge of the payoff function of the other player. However, the assumption fails in more realistic pursuitevasion scenarios where the players have no or partial knowledge of their opponents’ payoff function [10,11]. In this case, the pursuit-evasion game becomes an incompleteinformation game. Motivated by this idea, this paper studies
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