Pursuit-Evasion Differential Game Guidance Strategy with Incomplete-Information in Two-on-Two Engagement

This article investigates a pursuit-evasion game issue with incomplete-information in a two-on-two engagement, which involves two pursuers and two evaders. First, for the complete-information, a linear quadratic game scheme is designed to reduce the fuel cost of the evaders and the norm-bounded differential game approach is adopted to obtain the guidance scheme, which ensures that the evaders lure two pursuers into collision and successfully avoid the interception of the pursuers. Furthermore, for the incomplete-information circumstance, there are four combinations of the pursuers’ guidance schemes to form as a finite set. And the smooth variable sliding filter is injected into the interacting multiple model algorithm to estimate the pursuers’ unknown information, which identifies the pursuers’ guidance schemes by matching the different information modes in parallel. Finally, the performance and superiority of the guidance scheme are validated by numerical and comparing simulations for incomplete-information game scenarios.