Optimal Sensing Precision for Celestial Navigation Systems in Cislunar Space using LPV Framework

TL;DR

This paper presents convex optimization methods to optimize celestial navigation system accuracy in cislunar space, ensuring precise spacecraft positioning with minimal measurements and guaranteed performance.

Contribution

It introduces novel convex optimization formulations for joint observer gain and sensing precision design in LPV systems, with application to cislunar celestial navigation.

Findings

Achieves accurate spacecraft positioning with minimal measurements.

Guarantees estimation error bounds through convex optimization.

Demonstrates effectiveness in cislunar navigation scenarios.

Abstract

This paper introduces two innovative convex optimization formulations to simultaneously optimize the H2/Hinf observer gain and sensing precision, and guarantee a specified estimation error bound for nonlinear systems in LPV form. Applied to the design of an onboard celestial navigation system for cislunar operations, these formulations demonstrate the ability to maintain accurate spacecraft positioning with minimal measurements and theoretical performance guarantees by design.