Positioning

Volume 3, Issue 2 (May 2012)

ISSN Print: 2150-850X   ISSN Online: 2150-8526

Google-based Impact Factor: 0.8  Citations  

Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm

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DOI: 10.4236/pos.2012.32003    6,391 Downloads   13,915 Views  Citations
Author(s)

ABSTRACT

The rigid body motion can be represented by a motor in geometric algebra, and the motor can be rewritten as a trinometric function of the screw blade. In this paper, a screw blade strapdown inertial navigation system (SDINS) algorithm is developed. The trigonometric function form of the motor is derived and utilized to deduce the Bortz equation of the screw blade. The screw blade SDINS algorithm is proposed by using the procedure similar to that of the conventional rotation vector attitude updating algorithm. The superiority of the screw blade algorithm over the conventional ones in precision is analyzed. Simulation results reveal that the screw blade algorithm is more suitable for the high-pre- cision SDINS than the conventional ones.

Share and Cite:

Wu, D. and Wang, Z. (2012) Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm. Positioning, 3, 13-20. doi: 10.4236/pos.2012.32003.

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[3] Strapdown INS/GPS Integrated Navigation Using Geometric Algebra
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[4] Strapdown navigation using geometric algebra: Modeling and error analysis
Control and Automation (ICCA), 2013 10th IEEE International Conference on. IEEE, 2013
[5] Control Law Design Based on Geometric Algebra
Applied Mechanics and Materials, 2013

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