Skip to main content
Log in

Considering Measurement Model Parameter Errors in Static and Dynamic Systems

  • Published:
The Journal of the Astronautical Sciences Aims and scope Submit manuscript

Abstract

In static systems, state values are estimated using traditional least squares techniques based on a redundant set of measurements. Inaccuracies in measurement model parameter estimates can lead to significant errors in the state estimates. This paper describes a technique that considers these parameters in a modified least squares framework. It is also shown that this framework leads to the minimum variance solution. Both batch and sequential (recursive) least squares methods are described. One static system and one dynamic system are used as examples to show the benefits of the consider least squares methodology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. MILLER, J., KONOPLIV, A., ANTREASIAN, P., BORDI, J., CHESLEY, S., et al. “Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros,” Icarus, Vol. 155, No. 1, 2002, pp. 3–17.

    Article  Google Scholar 

  2. SCHMIDT, S.F. “Application of State-Space Methods to Navigation Problems,” Advances in Control Systems, Vol. 3, 1966, pp. 293–340.

    Google Scholar 

  3. JAZWINSKI, A.H. Stochastic Processes and Filtering Theory, Academic Press, Inc., 1970.

  4. BIERMAN, G.J. Factorization Methods for Discrete Sequential Estimation, Mineola, NY, Dover Publications, Inc., 1977.

    MATH  Google Scholar 

  5. TAPLEY, B., SHUTZ, B., and BORN, G. Statistical Orbit Determination, Academic Press, 2004.

  6. CRASSIDIS, J. and JUNKINS, J. Optimal Estimation of Dynamic Systems, Boca Raton, FL, Chapman & HallnCRC Press, 2004.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Woodbury, D.P., Majji, M. & Junkins, J.L. Considering Measurement Model Parameter Errors in Static and Dynamic Systems. J of Astronaut Sci 58, 461–478 (2011). https://doi.org/10.1007/BF03321180

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03321180

Keywords

Navigation