Application of pseudoinverse matrix in flush airdata sensing system

ZHENG Cheng-jun~1; LU Yu-ping~1; CHEN Feng~2

doi:10.13873/j.1000-97872006.05.027

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Application of pseudoinverse matrix in flush airdata sensing system

更新时间：2025-09-11

- Application of pseudoinverse matrix in flush airdata sensing system
- Issue 5, Pages: 81-84(2006)
- 作者机构：
  
  1. 南京航空航天大学自动化学院
  2. 中国人民解放军海军92419部队
- 作者简介：
- 基金信息：
- DOI：10.13873/j.1000-97872006.05.027
  CLC： TP212
- Published：2006
- 稿件说明：
移动端阅览
[1]郑成军,陆宇平,陈峰.广义逆在嵌入式大气数据传感系统中的应用[J].传感器与微系统,2006(05):81-84.

ZHENG Cheng-jun~1, LU Yu-ping~1, CHEN Feng~2. Application of pseudoinverse matrix in flush airdata sensing system[J]. 2006, (5): 81-84.
[1]郑成军,陆宇平,陈峰.广义逆在嵌入式大气数据传感系统中的应用[J].传感器与微系统,2006(05):81-84. DOI： 10.13873/j.1000-97872006.05.027.

ZHENG Cheng-jun~1, LU Yu-ping~1, CHEN Feng~2. Application of pseudoinverse matrix in flush airdata sensing system[J]. 2006, (5): 81-84. DOI： 10.13873/j.1000-97872006.05.027.

摘要

应用广义逆矩阵对嵌入式大气数据传感系统中的算法进行简化

提出了以Moore-Penrose广义逆矩阵为基础的动压、静压和修正参数的改进算法

并对其进行了收敛性分析

最后

应用M atlab软件进行了数字计算验证。计算结果表明:改进算法具有确定的收敛性

由于避免了迭代过程中求解逆矩阵

达到同样的精度所需要的计算时间只相当于原有算法的70%

改进算法可以满足系统的精度、可靠性和实时性要求。

Abstract

The application of pseudoinverse matrix in the simplified algorithm of flush airdata sensing（FADS） system is studied

an improved algorithm based on Moore-Penrose pseudoinverse matrix is presented for calculating the dynamic pressure

static pressure and calibration parameter

and its convergence is analyzed.The numerical validation of the algorithm is given by using Matlab.The results of the validation show that the improved algorithm is definitely convergent.It doesn’t include the calculation of inverse matrix during the iteration

it takes only 70 % time to reach the same precision comparing to the original algorithm.The improved algorithm can meet the requirements of the system in precision

reliability and real-time.

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references

矩阵论[M]. 科学出版社 , 戴华编著, 2001

非线性方程组迭代解法[M]. 上海科学技术出版社 , 冯果忱编著, 1989

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