Angular velocity-based Euler angle Fourier approximate output method

An output method and angular velocity technology, applied in the direction of navigation through velocity/acceleration measurement, navigation calculation tools, etc., can solve problems such as poor Euler angle output accuracy

Inactive Publication Date: 2012-06-27
NORTHWESTERN POLYTECHNICAL UNIV
View PDF4 Cites 1 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] In order to overcome the problem of poor output accuracy of Euler angles during the maneuvering flight of existing aircraft, the present invention provides a Fourier approximation output method for Euler angles based on angular velocity

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Angular velocity-based Euler angle Fourier approximate output method
  • Angular velocity-based Euler angle Fourier approximate output method
  • Angular velocity-based Euler angle Fourier approximate output method

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0068] 1. (a) According to the rigid body attitude equation (Euler equation):

[0069]

[0070] In the formula, ψ refers to the roll, pitch, and yaw angles; p, q, and r are the roll, pitch, and yaw angular velocities respectively; the definitions of the parameters throughout the text are the same; the calculation of these three Euler angles is to solve the pitch angle, roll angle, and The steps of the yaw angle are carried out; the n-order expansions of the roll, pitch, and yaw angular velocities p, q, and r are respectively

[0071] p(t)=p A [1 cos(ωt) L cos[(n-1)ωt] cos(nωt)] T

[0072] +p B [sin(ωt) sin(2ωt) L sin[(n-1)ωt] sin(nωt)] T

[0073] q(t)=q A [1 cos(ωt) L cos[(n-1)ωt] cos(nωt)] T

[0074] +q B [sin(ωt) sin(2ωt) L sin[(n-1)ωt] sin(nωt)] T

[0075] r(t)=r A [cos(ωt) cos(2ωt) L cos[(n-1)ωt] cos(nωt)] T

[0076] + r B [sin(ωt) sin(2ωt) L sin[(n-1)ωt] sin(nωt)] T

[0077] where ω is the angular frequency,

[0078] p A =[p a0 p a1 L p a(n-...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses an angular velocity-based Euler angle Fourier approximate output method, which is used for solving the technical problem of low Euler angle output accuracy when the conventional aircraft performs maneuver flight. According to the technical scheme, a plurality of parameters are introduced, Fourier series is adopted for approximate description of the rolling, pitch and yaw rates p, q and r, the rolling, pitch and yaw rates p, q and r are solved in turn according to the order of the Fourier series description of the rolling, pitch and yaw rates p, q and r, and an expression formula of a Euler angle is directly subjected to high-order approximation integral, so that the solution of the Euler angle approximates according to superlinearity, the iterative calculation accuracy of determining the time update of the Euler angle is ensured, and the accuracy of outputting a flight attitude by inertial equipment is improved.

Description

technical field [0001] The invention relates to a method for determining the maneuvering flight attitude of an aircraft, in particular to an angular velocity-based Euler angle Fourier approximation output method. Background technique [0002] Inertial equipment plays an important role in the navigation and control of moving bodies; the acceleration, angular velocity and attitude of rigid body motion usually depend on the output of inertial equipment, so improving the output accuracy of inertial equipment has clear practical significance; in inertial equipment, the acceleration adopts The accelerometer and angular velocity are directly measured by the angular rate gyro. When the attitude accuracy of the rigid body is very high, such as the flight test, the attitude gyro is used for measurement. However, in many application fields, the angular velocity and other measurements are directly calculated and output; the main reason is that the dynamic attitude The sensor is expensiv...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G01C21/16G01C21/20
Inventor 史忠科
Owner NORTHWESTERN POLYTECHNICAL UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap