Multi-objective optimization of angles-only navigation and closed-loop guidance control for spacecraft autonomous noncooperative rendezvous

Abstract

In this paper, the angles-only navigation and closed-loop guidance control for spacecraft autonomous noncooperative rendezvous in geosynchronous Earth orbit (GEO) are studied, and a multi-objective optimization model is established considering various constraints. The optimization objectives include the total flight time, the total fuel cost, and the observability of angles-only navigation. First of all, the angles-only navigation model is established, including relative dynamics and Line-of-Sight (LoS) measurement models. Then, the closed-loop guidance control covariance is analyzed, and the navigation and control covariance analysis models are established. And then, a multi-objective optimization model is established, including the objective functions, optimization variables, constraints, and the mathematical model. After that, a crowding mechanism based on vector space model (VSM) is proposed to improve the fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II, and a VSM-NSGA-II is constructed to solve the proposed multi-objective optimization model. Finally, a set of Pareto optimal solutions are simulated and analyzed by using closed-loop guidance control covariance analysis and Monte Carlo simulation, thereby proving the effectiveness of the multi-objective optimization model proposed in this paper.