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Interval quartering lagrangian method used for high-speed spinning projectile attitude algorithm

A high-speed rotation and attitude quaternion technology, applied in navigation calculation tools, measuring devices, instruments, etc., can solve complex calculation problems

Inactive Publication Date: 2016-10-05
ZHONGBEI UNIV
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  • Summary
  • Abstract
  • Description
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  • Application Information

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Problems solved by technology

[0009] The purpose of the present invention is to solve the problem of complex calculation in the above-mentioned prior art, and provide a four-interval Lagrangian method for high-speed rotating projectile attitude solution

Method used

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  • Interval quartering lagrangian method used for high-speed spinning projectile attitude algorithm
  • Interval quartering lagrangian method used for high-speed spinning projectile attitude algorithm
  • Interval quartering lagrangian method used for high-speed spinning projectile attitude algorithm

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Embodiment Construction

[0085] Present embodiment a kind of high-speed rotating projectile attitude solving uses four-interval Lagrangian method, it is characterized in that: comprise following process:

[0086] 1.1 Interpolation basis function representation of angular velocity and quaternion

[0087] The differential equation of quaternion motion is

[0088]

[0089] or

[0090]

[0091] In the formula,

[0092] q is the coordinate transformation quaternion from the inertial system to the carrier system;

[0093] ω=[ω x ω y ω z ] T , represents the component of rigid body angular velocity in the system;

[0094] ω ^ = 0 ω x ω y ω z ...

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Abstract

The invention relates to an interval quartering lagrangian method used for high-speed spinning projectile attitude algorithm. The method aims at the problem of complex calculation. The method comprises the following steps: expression of an interpolation basis function of angular velocity and quaternion, and numerical integral derivation. According to the invention, a quaternion method is employed for describing the rotation motion of an aircraft, which solves the parameter degradation, reduces the calculation of trigonometric function, and is beneficial to improve the speed and precision of operation. Compared with the prior art, the method has the advantages of simple and convenient calculation.

Description

technical field [0001] The invention specifically relates to a four-interval Lagrangian method for calculating the attitude of a high-speed rotating projectile. Background technique [0002] In traditional flight mechanics, it is assumed that the projectile has flight stability and the magnitude of the projectile angle of attack is small, so the attitude of the aircraft relative to the reference frame can be described by the Euler angle. The three Euler angles are the pitch angle θ, the yaw angle ψ, and the roll angle γ respectively, then the relationship between the rate of change of the three Euler angles and the angular velocity of the projectile can be expressed in the form of the following differential equation: [0003] γ · = ω x + ( ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C21/20G01C1/00
Inventor 岳凤英温建飞孙玉环高阳杨鸥宁刘克轩
Owner ZHONGBEI UNIV