Simplified Design of Dual Quaternion Strapdown Inertial Navigation Integration Algorithms

Abstract:

Dual quaternion navigation algorithm gain higher accuracy than traditional strapdown inertial navigation algorithm at the cost of real-time performance. In order to reduce tremendous computation amount of the former, a simplified design scheme for navigation integration algorithms is presented in this paper. First, based on update principle and computation rules of dual quaternion we separate rotational and translational increment information from dual quaternion increment, and deduce exact solutions defined by the spiral vector for thrust velocity increment, gravitational velocity increment and displacement increment. Then, considering characteristics of a strapdown inertial navigation system, implementation schemes of simplified integration algorithms for dual quaternion differential equations in three frames, including thrust velocity coordinates, gravitational velocity coordinates and position coordinates, are designed separately. Under the premise of ensuring the accuracy advantage of the original dual quaternion inertial navigation algorithm, the proposed simplified algorithm significantly improve the computational efficiency. This will lay favorable foundation for engineering realization of the dual quaternion strapdown inertial navigation algorithm.

• Periodical: Applied Mechanics and Materials (Volumes 239-240)
• Pages: 1421-1427
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.239-240.1421
• Online since: December 2012
• Authors: Yu Rong Lin, Liang Chen, Zhen Xian Fu
• Keywords: Dual Quatrenion, Gravitational Velocity, Integration Algorithms, Simplified Design, Thrust Velocity

References

[1] Konstantinos Daniilidis, Eduardo Bayro-Corrochano. The dual quaternion approach to hand-eye calibration, IEEE Proceedings of ICPR '96, (1996)

DOI: 10.1109/icpr.1996.546041

[2] Yuanxin Wu, Xiaoping Hu, Dewen Hu, Tao Li, Junxiang Lian. Strapdown inertial navigation system algorithms based on dual quaternions [J]. IEEE Transactions on Aerospace and Electronic Syetems, 2005, 41(1):111-132.

DOI: 10.1109/taes.2005.1413751

[3] Chen Liang. SINS algorithms based on dual quaternions[D]. Harbin: Harbin Institute of Technology, 2011:32-51

[4] Ben Yue-yang. Research of strapdown inertial navigation algorithm under highly dynamic environment[D]. Harbin: Harbin Engineering University, 2008:94-101.

[5] Savage P.G. Strapdown inertial navigation integration algorithm design part 1：attitude algorithms[J]. Journal of Guidance，Control and Dynamics，1998，21(1)：19-28.

DOI: 10.2514/2.4228

[6] Savage P. G. Strapdown inertial navigation integration algorithm design part 2:velocity and position algorithms[J]. Journal of Guidance, Control, and Dynamics, 1998, 21(2) :208-221.

DOI: 10.2514/2.4242

[7] David H. Titterton, John L. Weston, Strapdown inertial navigation technology(2nd Edition)[M], Institution of Electrical Engineers, Peter Peregrinis Ltd. on behalf of the Institution of Electrical Engineers, 1997.

[8] Bar-Itzhack I.Y. Navigation computation in terrestrial strapdown inertial navigation systems[J]. IEEE Transactions on Aerospace and Electronic Systems, 1977, AES-13(6): 679-689.

DOI: 10.1109/taes.1977.308509

[9] WU Gao-long, LIU Hua-wei. Simplified dual-quaternion navigation algorithm[J]. Journal of Applied Sciences, 2010, 28(6):646-654.