Formation flying control of multiple spacecraft - Graph theoretic properties and switching schemes

Mehran Mesbahi, Fred Y. Hadaegh · Guidance, Navigation, and Control Conference and Exhibit · 1999

We present several results on the leader-following (LF) paradigm in the formation flying of multiple spacecraft in free apace. In this direction, ideas from elementary graph theory and linear matrix inequalities are combined with logic-based switching to shed light on the various control designs which are feasible using the leader-following mechanism for various formation scenarios. Ke yworda: Formation flying; Linear matrix inequality; Logic-baaed switching; Graph theory

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