The Application of H2/H-Infinity Filter in Transfer Alignment Based on Convex Optimization Technology

Abstract

In this paper, the “velocity and attitude” matching method is used and the unknown flexure deformation is treaded as the noise with limited energy. Algorithms of H∞ filter, adaptive H∞ filter and H₂/H∞ filter are introduced and compared. Results show that: the alignment accuracy of adaptive H∞ filter is the highest, the alignment accuracy of H₂/H ∞ filter is suboptimal when the unknown flexure deformation exists. While the alignment accuracy of H₂/H∞ filter is the highest when there is no unknown flexure deformation. From the overall consideration, H₂/H∞ filter is the optimal when the unknown flexure deformation exists.