Spacecraft Rendezvous with Non-Linear Dual-Quaternion Controller Under Orbital Perturbations

Abstract

A non-linear control system based on several controllers is applied the satellite rendezvous problem with a dual quaternion framework. The spacecraft pose is simulated under the effects of typical orbital perturbations with some initial proximity already established in advance. The objective is to present an approach to the rendezvous and proximity operations problem with the addition of attitude constraints using control barrier functions and dual quaternion feedback. Such applications with dual quaternions may also be applied to planetary descent and landing, six degree of freedom simulation, video graphics, and robotic pose control.