Open AccessProbabilistic Collision-free Pattern Control For Large-Scale Spacecraft Swarms Around Circular Orbits
Author(s) -
Lin Chen,
Chi Wang,
Chao Yang,
Hong Deng,
Hao Zhang
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2252/1/012070
Subject(s) - voronoi diagram , spacecraft , probabilistic logic , swarm behaviour , partition (number theory) , trajectory , mathematical optimization , computer science , circular orbit , control theory (sociology) , mathematics , algorithm , physics , geometry , aerospace engineering , engineering , classical mechanics , control (management) , artificial intelligence , combinatorics , astronomy
This work considers controlling large-scale spacecraft swarms to achieve complex spatial configuration. A novel distributed guidance algorithm is proposed based on Inhomogeneous Markov Chains, Probabilistic Density Guidance and Voronoi partition (IMC-PDG-Voronoi) algorithms. The physical space is partitioned into multiple bins and the density distribution of the swarm is controlled via a probabilistic approach. Then the modified Voronoi partition method is used to generate a collision-free trajectory for each agent. To apply the probabilistic control algorithm to circular Earth orbit, the periodic solution of the Clohessy-Wiltshire (C-W) equation in configuration space is transformed into a parameter space. Then a convex optimization open-loop controller with minimum fuel consumption in LVLH coordinates is designed to control the swarm to expected positions. Numerical simulations show that the algorithm can effectively guide and control large-scale spacecraft swarms to form complex configurations on circular orbits, with high precision and little cost.