Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle

In response to the lack of specific demonstration and analysis of the research on the necessity of the Lie group strapdown inertial integrated navigation error model based on the Euler angle, two common integrated navigation systems, strapdown inertial navigation system/global navigation satellite s...

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Main Authors: Leiyuan Qian, Fangjun Qin, Kailong Li, Tiangao Zhu
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/20/7742
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author Leiyuan Qian
Fangjun Qin
Kailong Li
Tiangao Zhu
author_facet Leiyuan Qian
Fangjun Qin
Kailong Li
Tiangao Zhu
author_sort Leiyuan Qian
collection DOAJ
description In response to the lack of specific demonstration and analysis of the research on the necessity of the Lie group strapdown inertial integrated navigation error model based on the Euler angle, two common integrated navigation systems, strapdown inertial navigation system/global navigation satellite system (SINS/GNSS) and strapdown inertial navigation system/doppler velocity log (SINS/DVL), are used as subjects, and the piecewise constant system (PWCS) matrix, based on the Lie group error model, is established. From three aspects of variance estimation, the observability and performance of the system with large misalignment angles for low, medium, and high accuracy levels, traditional error model, Lie group left error model, and right error model are compared. The necessity of research on Lie group error model is analyzed quantitatively and qualitatively. The experimental results show that Lie group error model has better stability of variance estimation, estimation accuracy, and observability than traditional error model, as well as higher practical value.
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spelling doaj.art-d2f16e96e50443a28c6b9210282ed7572023-11-24T02:25:01ZengMDPI AGSensors1424-82202022-10-012220774210.3390/s22207742Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler AngleLeiyuan Qian0Fangjun Qin1Kailong Li2Tiangao Zhu3College of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaCollege of Electrical Engineering, Naval University of Engineering, Wuhan 430033, ChinaIn response to the lack of specific demonstration and analysis of the research on the necessity of the Lie group strapdown inertial integrated navigation error model based on the Euler angle, two common integrated navigation systems, strapdown inertial navigation system/global navigation satellite system (SINS/GNSS) and strapdown inertial navigation system/doppler velocity log (SINS/DVL), are used as subjects, and the piecewise constant system (PWCS) matrix, based on the Lie group error model, is established. From three aspects of variance estimation, the observability and performance of the system with large misalignment angles for low, medium, and high accuracy levels, traditional error model, Lie group left error model, and right error model are compared. The necessity of research on Lie group error model is analyzed quantitatively and qualitatively. The experimental results show that Lie group error model has better stability of variance estimation, estimation accuracy, and observability than traditional error model, as well as higher practical value.https://www.mdpi.com/1424-8220/22/20/7742integrated navigationlie groupnecessity of researchvariance estimationobservability
spellingShingle Leiyuan Qian
Fangjun Qin
Kailong Li
Tiangao Zhu
Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
Sensors
integrated navigation
lie group
necessity of research
variance estimation
observability
title Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
title_full Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
title_fullStr Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
title_full_unstemmed Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
title_short Research on the Necessity of Lie Group Strapdown Inertial Integrated Navigation Error Model Based on Euler Angle
title_sort research on the necessity of lie group strapdown inertial integrated navigation error model based on euler angle
topic integrated navigation
lie group
necessity of research
variance estimation
observability
url https://www.mdpi.com/1424-8220/22/20/7742
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AT kailongli researchonthenecessityofliegroupstrapdowninertialintegratednavigationerrormodelbasedoneulerangle
AT tiangaozhu researchonthenecessityofliegroupstrapdowninertialintegratednavigationerrormodelbasedoneulerangle