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Hermite-interpolation-based rotation vector acquisition method

A technology of rotation vector and acquisition method, applied in the direction of navigation calculation tools, etc., can solve the problem of low accuracy, and achieve the effect of high solution accuracy and low algorithm drift.

Active Publication Date: 2018-12-07
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

Common numerical integration formulas include trapezoidal formula, Simpson formula and Lagrange interpolation integral formula. Although their calculations do not need to provide derivative values, their accuracy is not high

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  • Hermite-interpolation-based rotation vector acquisition method
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  • Hermite-interpolation-based rotation vector acquisition method

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Embodiment Construction

[0016] In order to enable those skilled in the art to better understand the solutions of the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application.

[0017] see figure 1 , which is a flowchart of a method for acquiring a rotation vector based on Hermite interpolation provided in this embodiment. A method for obtaining a rotation vector based on Hermite interpolation, comprising the following steps:

[0018] S1: Based on the Hermite interpolation formula, the expression of the second sample angle increment of the gyroscope is obtained:

[0019]

[0020] Among them, Δθ 1 is the angle increment of the two samples corresponding to the first moment to the third moment, Δθ 2 is the second sample angle increment corresponding to the third moment to the fifth moment, Δθ is the second sample angle increment correspondin...

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Abstract

The invention provides a Hermite-interpolation-based rotation vector acquisition method comprising introducing a high-precision Hermite interpolation integral formula for numerically integrating angular rates of a gyroscope at different moments to complete extraction of two sub-sample angle increments, and fully using the angular rates of the gyroscope at different moments and introducing two sub-sample angle increments in first 2 periods to obtain a Hermite-interpolation-based corrected rotation vector. The two sub-sample angle increment and corrected rotation vector obtaining method has lowalgorithm drift and high resolution accuracy, is suitable for high-rotation attitude rotation vector solution in high-dynamic environment.

Description

technical field [0001] The invention belongs to the field of attitude measurement in a high dynamic environment, in particular to a method for acquiring a rotation vector based on Hermite interpolation. Background technique [0002] Attitude measurement is a key technology for high-rotation bodies like guided projectiles to achieve precise strikes on targets. The accuracy of attitude measurement directly affects the accuracy of projectile guidance. Therefore, the analysis of the attitude calculation algorithm and the design of the attitude measurement system become an important link in the study of high-rotation body (guided projectile) navigation and guidance. At present, the commonly used attitude update algorithms mainly include the Euler angle method, the quaternion method, the direction cosine method and the rotation vector method. For the high-rotation body with high overload and high speed characteristics, during the flight of the projectile, the spatial angular posi...

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Application Information

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IPC IPC(8): G01C21/20
CPCG01C21/20
Inventor 邓志红汪进文刘彤肖烜王博
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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