Collision avoidance in low thrust rendezvous guidance using flatness and positive B-splines

Christophe Louembet (1) , Georgia Deaconu (1)

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes

Collision avoidance issue in close proximity orbital rendezvous is addressed in this paper. The arising optimal control problem is solved by means of differential flatness in order to apply algebraic geometry tools. These tools based on B-splines parametrization and positive piecewise polynomial concept provide a certification of constraints satifaction ontinuously in time contrary to classical collocation techniques. The non convexity derived from the avoidance constraint is overcome by using time-varying convex approximation.

Mots clés: Collision avoidance; Orbital rendezvous; Continuous thrust; Trajectory planning; Differential Flatness; B-spline positivity

Domaines: Automatique; Automatique / Robotique

Christophe Louembet, Georgia Deaconu. Collision avoidance in low thrust rendezvous guidance using flatness and positive B-splines. American Control Conference 2011 (ACC 2011), Jun 2011, San Francisco, United States. 6p. ⟨hal-00526269⟩