Skip to main content
Log in

Application of Cayley-Klein parameters in the problem of strapdown navigation system stochastic state vector synthesis for a self-contained space vehicle

  • Determinate Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

The state vector and observer equations are obtained for a strapdown (gimballess) navigation system with three accelerometers, three angular rate sensors, and a barometric altimeter. These equations are based on the nonlinear filtration methods that ensure required estimation accuracy under arbitrary space maneuver of a vehicle.

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. Kryukov, S.P., Chesnokov, G.I., and Troitskii, V.A., Experience in Developing and Certifying a Strapdown Inertial Navigation System for Civil Aviation and Creating on Its Basis Modified Systems for Controlling Marine, Ground-Based and Aerospace Objects and Solving Geodetic and Gravimetry Problems, Gyroscopy and Navigation, 2002, vol. 39, no. 4, pp. 115–124.

    Google Scholar 

  2. Nesenyuk, L.P., Strapdown Inertial Navigation Systems. Current State and Perspectives of Development, Mater. III konf. molodykh uchenykh (Proc. IIIrd Conf. Young Scientists), Stepanov, O.A. and Peshekhonov, V.G., Eds., St. Petersburg: GNTs RF TsNII “Elektropribor,” 2001, p. 244.

    Google Scholar 

  3. Razorenov, G.N., Bakhramov, E.A., and Titov, Yu.F., Sistemy upravleniya letatel’nymi apparatami (Control Systems for Aircraft), Moscow: Mashinostroenie, 2003.

    Google Scholar 

  4. Integrirovannye inertsialno-sputnikovye sistemy (Integrated Inertial and Satellite Systems), Peshekhonov, V.G., Ed., St. Petersburg: GNTs RF TsNII “Elektropribor,” 2001.

    Google Scholar 

  5. Dyatlov, A.P., Dyatlov, P.A., and Kulbikayan, B.Kh., Radio Suppresion of Radionavigation Satellite System “NAVSTAR” Consumer Apparatus with the Aid of Signal-Like Noise, Izv. Vuzov, Severokavkazskiy Region, 2004, vol. 128, no. 4, pp. 19–22.

    Google Scholar 

  6. Pupkov, K.A. and Neusypin, K.A., Voprosy teorii i realizatsii sistem upravleniya i navigatsii (Theory and Implementation of Control and Navigation Systems), Moscow: Bioinform, 1997.

    Google Scholar 

  7. Petrov, B.S., Voprosy teorii inertsial’nykh navigatsionnykh sistem (Issues of Theory of Inertial Navigation Systems), Moscow: Nauka, 2003.

    Google Scholar 

  8. Sokolov, S.V. and Polovinchuk, N.Ya., Teoreticheskie osnovy avtonomnykh pomekhoustoichivykh besplatformennykh navigatsionnykh sistem (Theoretical Principles of Self-Contained Noise-Immune Strapdown Navigation Systems), Rostov-on-Don: Russian Ministry of Defence, 1997.

    Google Scholar 

  9. Stepanov, O.A., Primenenie teorii nelineinoi fil’tratsii v zadachakh obrabotki navigatsionnoi informatsii (Application of the Theory of Nonlinear Filtering in Navigation Data Processing Problems) St. Petersburg: GNTs RF TsNII “Elektropribor,” 1998.

    Google Scholar 

  10. Rivkin, S.S., Berman, Z.M., and Okon, I.M., Opredelenie parametrov orientatsii ob”ekta besplatformennoi inertsial’noi sistemoi (Determining the Orientational Parameters of an Object by Means of Strapdown Inertial Navigation System), St. Petersburg: GNTs RF TsNII “Elektropribor,” 1996.

    Google Scholar 

  11. Onishchenko, S.M., Primenenie giperkompleksnykh chisel v teorii inertsial’noi navigatsii (Application of Hypercomplex Numbers to the Theory of Inertial Navigation), Kiev: Naukova Dumka, 1983.

    Google Scholar 

  12. Khutortsev, V.V., Sokolov, S.V., and Shevchuk, P.S., Sovremennye printsipy upravleniya i fil’tratsii v stokhasticheskikh sistemakh (Modern Principles of Control and Filtering in Stochastic Systems), Moscow: Radio i Svyaz’, 2001.

    Google Scholar 

  13. Ishlinskii, A.Yu., Orientatsiya, giroskopy i inertsial’naya navigatsiya (Orientation, Gyroscopes, and Inertial Navigation), Moscow: Nauka, 1976.

    Google Scholar 

  14. Komandno-izmeritel’nye pribory (Measurement and Control Equipment), Nazarov, B.I., Ed., Moscow: USSR Ministry of Defence, 1975.

    Google Scholar 

  15. Dmitriev, S.P. and Stepanov, O.A., Noninvariante Algorithms for Information Processing of Inertial Navigation System, Gyroscopy and Navigation, 2000, no. 1, pp. 5–15.

  16. Sokolov, S.V. and Marinenko, I.N., State Estimation of Self-Contained Strapdown Inertial Navigation Systems, Izv. Vuzov, Priborostroenie, 1990, no. 3, pp. 44–49.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © V.A. Pogorelov, 2008, published in Avtomatika i Telemekhanika, 2008, No. 8, pp. 48–55.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pogorelov, V.A. Application of Cayley-Klein parameters in the problem of strapdown navigation system stochastic state vector synthesis for a self-contained space vehicle. Autom Remote Control 69, 1311–1318 (2008). https://doi.org/10.1134/S0005117908080043

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117908080043

PACS number

Navigation