Interaction between the attacking drones salvo and the anti-aircraft drones salvo as a computer antagonistic non-Newtonian 2D game

Abstract

The paper considers problem of the attacking drone avoiding interception at the final stage of its flight. Duration of this stage is a few seconds. Drones are flying to the target, explode and die. The literature traditionally considers the attack and the anti-aircraft drones independently. It is proposed to identify the attacking and the anti-aircraft drones as a single oscillatory system with the antagonistic components. Antagonistic components are connected using the non-Newtonian elastic element. Test game with a high-explosive drone, test game with a fragmentation drone and 2D salvo game were considered. The game in this case is not a traditional minimax optimization problem, but appears to be simulation of the compromise unstable motion mode. Salvo of three attack drones in the 2D games is aimed against three stationary targets. Anti-aircraft salvo includes two high-explosive and two fragmentation drones. The attacking drones “know nothing” about the anti-aircraft target distribution; thus, each of them “avoids” the anti-aircraft drones simultaneously. One operator is playing. Therefore, the game has only two parameters, i.e. two different stiffness coefficients of any non-Newtonian elastic element. The non-Newtonian oscillatory system under study is non-oscillatory. There are violations of the well-known oscillation theorems of the oscillations theory: with the increasing rigidity, the system oscillation frequency drops, the oscillation forms acquire additional nodes, etc.