Autonomous Satellite Rendezvous and Proximity Operations with Time-Constrained Sub-Optimal Model Predictive Control

TL;DR

This paper introduces a time-constrained model predictive control method for autonomous satellite rendezvous that reduces computational load by up to 90% while maintaining effective docking performance.

Contribution

It proposes a novel time-constrained MPC approach tailored for 6DOF satellite rendezvous, optimizing computational efficiency without sacrificing control accuracy.

Findings

Achieves successful docking under strict computational time limits.

Reduces computational effort by over 90% compared to traditional MPC.

Maintains effective control performance despite limited algorithm iterations.

Abstract

This paper presents a time-constrained model predictive control strategy for the 6 degree-of-freedom (6DOF) autonomous rendezvous and docking problem between a controllable "deputy" spacecraft and an uncontrollable "chief" spacecraft. The control strategy accounts for computational time constraints due to limited onboard processing speed. The translational dynamics model is derived from the Clohessy-Wiltshire equations and the angular dynamics are modeled on gas jet actuation about the deputy's center of mass. Simulation results are shown to achieve the docking configuration under computational time constraints by limiting the number of allowed algorithm iterations when computing each input. Specifically, we show that upwards of 90% of computations can be eliminated from a model predictive control implementation without significantly harming control performance.