Basic Geometric Considerations for a Self-Calibration of Strapdown Inertial Sensor Blocks by Tumbles

  • Ernst H. Knickmeyer
  • Elfriede T. Knickmeyer
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 107)


Strapdown Inertial Systems are usually calibrated by means of very accurate and expensive turn tables. This high accuracy is not required if self-calibration techniques are employed which make proper use of less accurate reference information and the uncalibrated system output itself. Starting from fundamental calibration principles, such a technique is stepwise evaluated for geometric parameters. The steps cover the general three-dimensional calibration model, solvability considerations, the self-calibration of pairs and triplets of sensors-separate for accelerometers and single-degree-of-freedom gyroscopes, the essential determination of the rotation between them, and finally the combined self-calibration of both triplets. Pros and cons are discussed in view of the calibration principles.


Inertial Navigation System Specific Force Target Parameter Sensor Error Compensation Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. /1/.
    Brewer, J.W.: Kronecker Products and Matrix Calculus in System Theory. IEEE Trans. on Circuits and Systems, Vol. CAS-25, No. 9, Sept. 1978, pp. 772–781.CrossRefGoogle Scholar
  2. /2/.
    Diesel, J.W.: Calibration of a Ring Laser Gyro Inertial Navigation System. 13th Biennial Guidance Test Symposium, Holloman Air Force Base, New Mexico, Oct. 1987, Vol. I, pp. 1–37.Google Scholar
  3. /3/.
    Diesel, J. W.: Calibration of Strapdown Inertial Systems. In: Chinese Society of Inertial Technology (ed.), P.O. Box 3913, Beijing 100854, People’s Rep. of China: First Int. Symp. on Inertial Technology in Beijing, China, May 1989, pp. 109–112.Google Scholar
  4. /4/.
    Grewal, M.S., V.D. Henderson, and R.S. Miyasako: Application of Kalman Filtering to the Calibration and Alignment of Inertial Navigation Systems. In: The Institute of Electrical and Electronics Engineers (IEEE), Position, Location, and Navigation Symp., Record 86 CH 2365–5, Las Vegas, NV, Nov 4–7, 1986, pp. 65–72.Google Scholar
  5. /5/.
    Joos, D.K.: Identification and Determination of. In: H. Sorg (Ed.): Advances in Inertial Navigation Systems and Components, AGARD-AG-254, Neuilly sur Seine, April 1981.Google Scholar
  6. /6/.
    Knickmeyer, E.H.: Calibration, Handling, and Use of a Cardan Frame with the Litton LTN 90–100 Inertial Reference System. Publ. no. 30011, Dept. of Surveying Eng., The University of Calgary, 1989.Google Scholar
  7. /7/.
    Mark, J., D. Tazartes, and T. Hilby: Fast Orthogonal Calibration of a Ring Laser Strapdown System. In: Symp. Gyro Technology, Stuttgart 23./24. Sept. 1986.Google Scholar
  8. /8/.
    Mondsheim, L.F.: Observability of Accelerometer Test-Input Errors, AIAA, 80–1766, 1980, pp 290–296.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Ernst H. Knickmeyer
    • 1
  • Elfriede T. Knickmeyer
    • 2
  1. 1.Pulsearch Consolidated Technology LtdCalgaryCanada
  2. 2.Dept. Surveying Eng., Univ. CalgaryCalgaryCanada

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