Abstract

In this paper, a self-alignment method for strapdown inertial navigation systems based on the q-method is studied. In addition, an improved method based on integrating gravitational apparent motion to form apparent velocity is designed, which can reduce the random noises of the observation vectors. For further analysis, a novel self-alignment method using a Kalman filter based on adaptive filter technology is proposed, which transforms the self-alignment procedure into an attitude estimation using the observation vectors. In the proposed method, a linear psuedo-measurement equation is adopted by employing the transfer method between the quaternion and the observation vectors. Analysis and simulation indicate that the accuracy of the self-alignment is improved. Meanwhile, to improve the convergence rate of the proposed method, a new method based on parameter recognition and a reconstruction algorithm for apparent gravitation is devised, which can reduce the influence of the random noises of the observation vectors. Simulations and turntable tests are carried out, and the results indicate that the proposed method can acquire sound alignment results with lower standard variances, and can obtain higher alignment accuracy and a faster convergence rate.

Highlights

  • Initial alignment is a crucial procedure of strapdown inertial navigation systems (SINS), and high precision of the initial alignment for SINS is needed to keep the stability of SINS [1,2,3]

  • Based on the properties of the swaying motion, Lian and Yan [8,9] proposed a method based on the dual-vector attitude determination, and because the acceleration measured by the inertial measurement unit (IMU) axes contains random noises, which contaminate the observation vectors, the alignment time was prolonged and the alignment accuracy was decreased

  • It is well-known that the acceleration measured by inertial measurement unit (IMU) axes (b-frame) is composed of the true inertial acceleration of the vehicle caused by the motion of the b-frame relative to the i-frame and the apparent acceleration caused by the gravitational attraction of the Earth

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Summary

Introduction

Initial alignment is a crucial procedure of strapdown inertial navigation systems (SINS), and high precision of the initial alignment for SINS is needed to keep the stability of SINS [1,2,3]. Based on the properties of the swaying motion, Lian and Yan [8,9] proposed a method based on the dual-vector attitude determination, and because the acceleration measured by the inertial measurement unit (IMU) axes contains random noises, which contaminate the observation vectors, the alignment time was prolonged and the alignment accuracy was decreased. Since the integration process averages the measurements over a period of time, the effect of the random noises is reduced and, a stable attitude estimate is obtained In this paper, this improved scheme is considered as a comparison method for the more advanced self-alignment method.

General Quaternion Self-Alignment
Mechanism of General Quaternion Self-Alignment
Attitude Determination Based on the q-Method
An Improved Algorithm for General Quaternion Self-Alignment
Simulation Test
Self-Alignment
The Quaternion Pseudo-Measurement Model
Kalman Filter
Improvement to the Observation Vectors
The Model of Parameter Recognition
The Observation Vector Reconstructed Algorithm
Table and the as Scheme
Comparison calculated and reconstructed gravitational apparent
Statistics alignment errors of the pitch and rollTable of Schemes
Conclusions
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