A new integrated Gaussian-Markov process model for precision shipboard transfer alignment

Wu, Wei; Qin, Shiqiao; Wang, Xingshu; Huang, Zongsheng; Zhan, Dejun

doi:10.1109/plans.2014.6851353

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…T is the vector of gyro bias difference between MINS and SINS. e dynamic component φ → d is generally modeled by the second-order Markov process [3,6,17,18], which can be written as…”

Section: Optimal Estimation Of Ship Flexure Anglementioning

confidence: 99%

An Error Evaluation Method for the Ship Angular Flexure Measurement Based on the Principle of Relevance

Zhang

Ma²,

Qin

et al. 2019

Mathematical Problems in Engineering

Self Cite

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Due to the lack of true ship angular flexure data, it is difficult to evaluate its measurement error of the angular velocity matching method in practice. In this paper, the cause of the measurement error of the ship flexure angle is analyzed in theory, and an evaluation method for the ship angular flexure measurement error based on the principle of relevance is proposed. The proposed method provides a prediction formula to describe the estimation error of the static flexure angle based on the off-diagonal elements of the error covariance matrix P in Kalman filtering. In addition, the optimized coefficient F is introduced to make the prediction error range better describe the real error variation. The optimized coefficient F ensures that the proposed formula has good prediction effects in all three directions. Simulations based on the actual measured ship flexure data are carried out, and the simulation results verify the capability of the prediction formula. The proposed method can be used in the evaluation of the ship flexure measurement error.

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“…T is the vector of gyro bias difference between MINS and SINS. e dynamic component φ → d is generally modeled by the second-order Markov process [3,6,17,18], which can be written as…”

Section: Optimal Estimation Of Ship Flexure Anglementioning

confidence: 99%

An Error Evaluation Method for the Ship Angular Flexure Measurement Based on the Principle of Relevance

Zhang

Ma²,

Qin

et al. 2019

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…The second-order Gauss-Markov process is the most commonly adopted to depict the dynamic deformation according to its time characteristics. [1][2][3][6][7][8][9][10][11][12][13][14][15][16][17] To improve the dynamic deformation model according to the specific working condition and environment, an integrated Gauss-Markov processes model has been proposed 5 instead of the traditional second-order Gauss-Markov process model. Although IMMM with this model can give acceptable results in many applications, it has been recognized that these dynamic deformation model does not consider correlation between three dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…Hull deformation estimation is of great significance for inertia matching method to acquire high accurate result. Kalman filtering is the most widely used state estimation method for hull deformation estimation; [1][2][3][4][5][10][11][12][13][14][15][16][17][18][19][20] it can solve linear problem with good convergence and the ability to remove high-frequency noises. However, when the inertia matching function is nonlinear, KF is not suitable.…”

Section: Introductionmentioning

confidence: 99%

“…The angular velocity matching function has been widely applied to deformation measurement since it was put forward. [1][2][3][4][5][6][7][8] If the inertial sensors used are accelerometers and gyroscopes, velocity and angular velocity matching function can be established based on the sensor information. 9,10 In addition, in order to improve the signal-to-noise ratio of the deformation measurement results, the attitude matching function has been established by choosing attitude as observation, compared with the other two methods; it can obtain higher precision deformation estimation results, 11,12 for this reason we use it as the basis of inertia matching method in this article.…”

Section: Introductionmentioning

confidence: 99%

“…The first method, considering the period of static deformation, is usually long and identifies the static deformation to a constant value. [1][2][3][4][5][6][7]10 The second method uses a random walk process driven by white noise (WN) to represent the static deformation. 8,11 Recently, compared to static deformation, dynamic deformation modeling has received more attention.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A model-free hull deformation measurement method with time delay compensation

Peng

Zhang

et al. 2018

International Journal of Distributed Sensor Networks

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Estimation and compensation for hull deformation is an indispensable step for the ship to establish a unified space attitude. The existing hull deformation measurement methods are dependent on the pre-established deformation model, and an inaccurate deformation model will reduce the deformation estimation accuracy. To solve this problem, a hull deformation estimation method without deformation model is proposed in this article, which utilizes the neural network to fit the hull deformation. To train the neural network online, connection weights of the neural network are regarded as system state variables which can be estimated by the Unscented Kalman Filter. Simultaneously, considering the time delay problem of inertial data, a time delay compensation method based on the quaternion attitude matrix is proposed. The simulation results show that the proposed method can obtain high estimation accuracy without any deformation model even when the inertial data are asynchronous.

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A rapid and accurate transfer alignment method using inertial instrument measurement information

Li,

Wang,

Ding

et al. 2025

Measurement

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A new integrated Gaussian-Markov process model for precision shipboard transfer alignment

Cited by 6 publications

References 15 publications

An Error Evaluation Method for the Ship Angular Flexure Measurement Based on the Principle of Relevance

An Error Evaluation Method for the Ship Angular Flexure Measurement Based on the Principle of Relevance

A model-free hull deformation measurement method with time delay compensation

A rapid and accurate transfer alignment method using inertial instrument measurement information

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