Matrix Game for Evasion Guidance with Limited Information

This paper proposes an evasion strategy based on matrix game theory, assuming the pursuer adopts the Proportional Navigation (PN) guidance law, while the evader employs a corresponding evasive guidance law, with both sides having a finite set of selectable guidance parameters. By pairing the selectable guidance parameters of the evader and pursuer, the expected miss distance is generated. An enumeration strategy is used to comprehensively generate all possible expected miss distances, and the results are populated into a game matrix. A min - max approach is employed to select the corresponding guidance parameter for the evader, which demonstrates strong robustness against different pursuers. Similarly, a max - min approach can select a reasonably effective guidance parameter for the pursuer, which is utilized in simulation verification. Simulation results show that the selected guidance parameters can increase the miss distance, particularly by significantly raising the lower bound of the miss distance, while exhibiting strong robustness.