Paper
Geometric Algebra Strapdown Navigation Algorithm Using Adams Method
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Authors:
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Dimin Wu; Zhengzhi Wang
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Abstract
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Geometric algebra (GA) is a concise representational and computational system for geometry. In this paper, a modified GA strapdown inertial navigation system (SDINS) model is developed. The attitude updating is combined with the velocity/position updating to enhance the precision of navigation. The Adams method is adopted to replace the Runge-Kutta method in the integration of the motor kinematic equations. A variety of simulations are carried out to testify the model and algorithm presented in this paper. The results show that the modified GA SDINS model is more precise than the original one, and the Adams-based GA SDINS algorithm can improve the efficiency remarkably. The Adams-based algorithm could be a better choice for SDINS with high-efficiency and low-maneuver requirements.
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Keywords
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Geometric Algebra; Strapdown Navigation; Motor Kinematic Equation; Adams Method
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StartPage
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17
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EndPage
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24
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Doi
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