Task-driven Satellite Cluster Self-organization Method Based on Linear Groups in Finite Fields

This paper proposes a method for constructing the capability and cognitive model of satellite constellations based on the linear group over a finite field. Based on this model, the capability view, autonomous mission assignment algorithm, and publish-subscribe mechanism are studied, and an on-orbit verification is conducted. Firstly, by introducing the algebraic theory of the finite field and the linear group, the capability model of satellite agents is constructed. The capabilities of satellites are mapped into matrices over the finite field, and the cognitive state vector is established to accurately describe the capability structure and cognitive state of satellite agents, providing a modeling method and logical basis for subsequent mission assignment. Secondly, based on the capability and cognitive model, the capability view of the satellite constellation is constructed. By organizing and processing the capability data, the capability view is designed to provide users with an intuitive display and interaction means of capabilities, facilitating resource subscription and management. Then, an autonomous mission assignment algorithm for satellite constellations based on the capability and cognitive model is designed. By comprehensively considering the agents' own capabilities, neighbor influences, and mission-driven factors, the autonomous matching and decision-making of mission requirements are realized, ensuring that satellite agents can allocate satellite resources reasonably. Next, the publish-subscribe mechanism of satellite constellations is constructed to achieve the precise docking of satellite resources and user requirements. Finally, an on-orbit verification experiment of the publish-subscribe service process of satellite constellations is carried out. The construction of satellite resource capabilities, the autonomous mission assignment algorithm, and the publish-subscribe service process of the capability view are realized. The instantaneous capacity subscription response time between the satellite and the ground (including the communication time of the space-to-ground link) is 31 seconds, verifying the feasibility and effectiveness of the capability and cognitive model and providing a basis for its practical application.