Third-order, minimal-parameter solution of the orthogonal matrix differential equation

Journal of Guidance, Control, and Dynamics

Volumn 20, Issue 3, 1997, Pages 516-521

  Ronen, Margalit ^a,b   Oshman, Yaakov ^a,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Ministry of Defence Government of Israel   (Israel)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INERTIAL NAVIGATION SYSTEMS; INTEGRATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION; RICCATI EQUATIONS;

ORTHOGONAL MATRIX DIFFERENTIAL EQUATION; PEANO-BAKER METHOD;

CONTROL SYSTEM ANALYSIS;

EID: 0031139508     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4070     Document Type: Article

References (10)

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2. Bar-Itzhack, I. Y., and Markley, F. L., "Minimal Parameter Solution of the Orthogonal Matrix Differential Equation," NASA TM 4043, MD, June 1988.
3. Bar-Itzhack, I. Y., and Markley, F. L., "Minimal Parameter Solution of the Orthogonal Matrix Differential Equation," IEEE Transactions on Automatic-Control, Vol. AC-35, No. 3, 1990, pp. 314-317.
4. Markley, F. L., "Parameterization of the Attitude," Spacecraft Attitude Determination and Control, edited by J. R. Wertz, D. Reidel, Dordrecht, The Netherlands, 1978, Sec. 12.1.
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7. Grubin, C., "Attitude Determination for a Strapdown Inertial System Using the Euler Axis/Angle and Quaternion Parameters," Proceedings of the AIAA Guidance and Control Conference (Key Biscayne, FL), AIAA, Washington, DC, 1973 (AIAA Paper 73-900).
8. Edwards, A., Jr., "The State of Strapdown Inertial Guidance and Navigation," Journal of the Institute of Navigation, Vol. 18, No. 4, 1971, 1972, pp. 386-401.
9. Rolh, E., "Error Propagation in the Strapdown INS Matrix Computation" (in Hebrew), M.S. Thesis, Technion - Israel Institute of Technology, Haifa, Israel, July 1980.
10. Spence, C. B., Jr., and Markley, F. L., "Attitude Propagation," Spacecraft Attitude Determination and Control, edited by J. R. Wertz, D. Reidel, Dordrecht, The Netherlands, 1978, Sec. 17.1.