Multi-Spacecraft Formation Control Under False Data Injection Attack: A Cross Layer Fuzzy Game Approach

In this paper, we address a cross-layer resilient control issue for a kind of multi-spacecraft system (MSS) under attack. Attackers with bad intentions use the false data injection (FDI) attack to prevent the MSS from reaching the goal of consensus. In order to ensure the effectiveness of the control, the embedded defender in MSS preliminarily allocates the defense resources among spacecrafts. Then, the attacker selects its target spacecrafts to mount FDI attack to achieve the maximum damage. In physical layer, a Nash equilibrium (NE) control strategy is proposed for MSS to quantify system performance under the effect of attacks by solving a game problem. In cyber layer, a fuzzy Stackelberg game framework is used to examine the rivalry process between the attacker and defender. The strategies of both attacker and defender are given based on the analysis of physical layer and cyber layer. Finally, a simulation example is used to test the viability of the proposed cross layer fuzzy game algorithm.