Multiple model adaptive intercept strategy of spacecraft for an incomplete-information game

Aiming at the problem of spacecraft terminal intercept game with incomplete-information, the multiple mode adaptive intercept strategy is proposed. In the game, both sides try their effort to pursuit or evade with minimal cost. Associated to the saddle point equilibrium, the spacecraft game strategy pair with the complete-information assumption is derived through differential game theory. Whereas, the scenario where the interceptor cannot obtain the target information is formulated as the incomplete-information game. Assume that the target information belongs to a finite set and is fixed throughout the game. A multiple mode adaptive identification scheme, with a bank of filters matching different target information modes in parallel, is proposed to identify the unknown information and derive the estimation-dependent strategy. In addition, the probability-weighted adaptive strategy is derived through the multiple mode adaptive control approach, and the estimation is input into a controller that matches the specific mode. Finally, the effectiveness of the proposed strategies is demonstrated by numerical simulations.