Formation Control of Flying Spacecraft over Signed Networks with Inter-Satellite Constraints
Résumé
This paper addresses the distributed formation control problem of networked satellites operating in cooperative and competitive settings. We propose a distributed bipartite formation controller that guarantees connectivity maintenance among cooperative satellites while preventing collisions between interconnected satellites. We design a gradient-based control law using barrier-Lyapunov functions to ensure that the constraints on the inter-satellite distances are satisfied. Moreover, we establish asymptotic stability of the bipartite formation manifold for almost all initial conditions satisfying the required constraints. Finally, the proposed approach is illustrated through a numerical simulation.
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