Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation

Matthew Rhudy, Yu Gu, Marcello Napolitano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The Extended Kalman Filter (EKF) is a widely used estimator for nonlinear systems. The stability characteristics of the EKF have been examined, but have not been rigorously proven for realistic assumptions on the initial error and noise disturbances. The existing stability analysis methods were first implemented in order to obtain a baseline calculation of the requirements on the system's initial error and noise disturbances. Since these requirements were determined to be too strict for realistic application, modifications were applied to the stability analysis in order to relax these assumptions and prove the stability with more realistic assumptions. Significant improvements in the initial error and noise bounds were achieved. Using a case study of low-cost attitude estimation, experimental flight data was utilized to reinforce and demonstrate the theoretically derived results. While the stability characteristics were examined in the context of a specific problem, the derived methods can be applied to any EKF application.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference
DOIs
StatePublished - Feb 28 2014
EventAIAA Guidance, Navigation, and Control Conference 2014 - SciTech Forum and Exposition 2014 - National Harbor, MD, United States
Duration: Jan 13 2014Jan 17 2014

Publication series

NameAIAA Guidance, Navigation, and Control Conference

Other

OtherAIAA Guidance, Navigation, and Control Conference 2014 - SciTech Forum and Exposition 2014
CountryUnited States
CityNational Harbor, MD
Period1/13/141/17/14

Fingerprint

Extended Kalman filters
Global positioning system
Nonlinear systems
Costs

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Control and Systems Engineering

Cite this

Rhudy, M., Gu, Y., & Napolitano, M. (2014). Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation. In AIAA Guidance, Navigation, and Control Conference (AIAA Guidance, Navigation, and Control Conference). https://doi.org/10.2514/6.2014-0446
Rhudy, Matthew ; Gu, Yu ; Napolitano, Marcello. / Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation. AIAA Guidance, Navigation, and Control Conference. 2014. (AIAA Guidance, Navigation, and Control Conference).
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Rhudy, M, Gu, Y & Napolitano, M 2014, Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation. in AIAA Guidance, Navigation, and Control Conference. AIAA Guidance, Navigation, and Control Conference, AIAA Guidance, Navigation, and Control Conference 2014 - SciTech Forum and Exposition 2014, National Harbor, MD, United States, 1/13/14. https://doi.org/10.2514/6.2014-0446

Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation. / Rhudy, Matthew; Gu, Yu; Napolitano, Marcello.

AIAA Guidance, Navigation, and Control Conference. 2014. (AIAA Guidance, Navigation, and Control Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Rhudy M, Gu Y, Napolitano M. Relaxation of stability requirements for extended Kalman filter stability within GPS/INS attitude estimation. In AIAA Guidance, Navigation, and Control Conference. 2014. (AIAA Guidance, Navigation, and Control Conference). https://doi.org/10.2514/6.2014-0446