基于相对位置测量的分布式卫星自主导航能观性

Observability of autonomous navigation of distributed satellite system using relative position measurements

本文考虑由两卫星组成的分布式卫星系统,研究仅利用星间相对位置测量的自主导航系统的能观性问题;提出局部k阶能观性的概念并将其用来分析非线性系统的能观性,分别得到自主导航系统局部4–6阶能观的充要条件并给出数学证明;通过分析这3个条件与非线性系统能观性秩条件成立的关系,给出并证明自主导航系统能观性秩条件成立的充要条件.

The purpose of this paper is to investigate the observability of autonomous navigation system of two satellite system using relative position measurements only. The concept of local k-order observability is proposed and introduced into analysis of nonlinear system. Necessary and sufficient conditions of local 4-order, 5-order and 6-order observability of the autonomous navigation system are presented and mathematically proved. The relationships between these three conditions as well as the sufficient and necessary condition of satisfying observability rank condition for the autonomous navigation system are given and proved.