Abstract

The nonlinear unscented Kalman filter (UKF) is evaluated for the satellite orbit determination problem, using Global Positioning System (GPS) measurements. The assessment is based on the robustness of the filter. The main subjects for the evaluation are convergence speed and dynamical model complexity. Such assessment is based on comparing the UKF results with the extended Kalman filter (EKF) results for the solution of the same problem. Based on the analysis of such criteria, the advantages and drawbacks of the implementations are presented. In this orbit determination problem, the focus is to analyze UKF convergence behavior using different sampling rates for the GPS signals, where scattering of measurements will be taken into account. A second aim is to evaluate how the dynamical model complexity affects the performance of the estimators in such adverse situation. After solving the real-time satellite orbit determination problem using actual GPS measurements, through EKF and UKF algorithms, the results obtained are compared in computational terms such as complexity, convergence, and accuracy.

Highlights

  • This work points out the nonlinear unscented Kalman filter (UKF) robustness assessment for a real-time satellite orbit determination problem, using Global Positioning System (GPS) measurements

  • This evaluation is based on comparing the UKF performance with the extended Kalman filter (EKF) for different sampling rates of the measurement from GPS signals

  • The results showed that the performance of the filters decreases as increasing the sampling intervals

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Summary

Introduction

This work points out the nonlinear unscented Kalman filter (UKF) robustness assessment for a real-time satellite orbit determination problem, using Global Positioning System (GPS) measurements. Pardal et al (2011) compared between the EKF and the nonlinear SPKF for a real-time satellite orbit determination problem, using GPS measurements for degraded initial conditions.

Results
Conclusion

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