Robust Optimization based Air Combat Game Decision-making of Multi-UAV with Uncertain Information

The objective of this study is to design a game decision-making method for the air combat of multiple unmanned air vehicles (multi-UAV) with uncertain information, which is based on flexible and robust optimization. Aiming at the problem that the Nash equilibrium of the UAVs air combat game under uncertain information is not easy to solve, this paper proposes a new method for solving the Nash equilibrium of the air combat game under uncertain information. First of all, the interval payoff matrices of both sides are obtained according to the air combat superiority evaluation method. Secondly, the theory of obtaining the Nash equilibrium of a game by solving a linear programming problem is reviewed. Based on this idea, a novel method is proposed for solving the air combat game problem of multi-UAV with uncertain information, which is achieved by transforming it into a linear programming problem with uncertain parameters. Finally, the effectiveness of the method is verified by simulation, which shows that our method can provide new tools for solving problems in air combat with Uncertain Information.