Differential game-theoretic approach to a spatial jamming problem

Abstract

In this work, we investigate the effect of an aerial jamming attack on the communication network of a team of UAVs flying in a formation. We propose a communication and motion model for the UAVs. The communication model provides a relation in the spatial domain for effective jamming by an aerial intruder. We formulate the problem as a zero-sum pursuit-evasion game. In our earlier work, we used Isaacs’ approach to obtain motion strategies for a pair of UAVs to evade the jamming attack. We also provided motion strategies for an aerial intruder to jam the communication between a pair of UAVs. In this work, we extend the analysis to multiple jammers and multiple UAVs flying in a formation. We analyze the problem in the framework of differential game theory, and provide analytical and approximate techniques to compute non-singular motion strategies of the UAVs.