Stability of a decoupled tracking filter with pseudomeasurements in line-of-sight Cartesian co-ordinate system

摘要

Since a decoupled tracking filter in the LOS Cartesian co-ordinate system (LCCS) is an approximation, its stability cannot be guaranteed. The paper presents a stochastic stability of the decoupled tracking filters in LCCS. A predicted LCCS is introduced to reduce the filter bias. Conditions of approximations to obtain a decoupled form are investigated. Using a Lyapunov-like condition, a sufficient condition is described for the decoupled tracking filter in LCCS to operate in a stable region.