A Robust Tracking Method for Multiple Moving Targets Based on Equivalent Magnetic Force

Wang, Ying; Fu, Qiang; Sui, Yangyi

doi:10.3390/mi13112018

Cited by 6 publications

(4 citation statements)

References 26 publications

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“…The relative error of CGLS-IDP algorithm and CGLS-MCS algorithm is less than 0.02%, and the relative error of magnetic field extrapolation is less than 0.02%. (2) In the case of strong noise interference, the relative error of magnetic field fitting and magnetic field extrapolation of the CGLS-IDP algorithm and the CGLS-MCS algorithm is slightly larger than that of the Tikhonov algorithm (the difference is within 1.3%), which is significantly smaller than that of the stepwise regression method (the difference is more than 1.4%). The relative error of CGLS-IDP algorithm and CGLS-MCS algorithm in magnetic field fitting is less than 14%, and the relative error of magnetic field extrapolation is less than 10.5%.…”

Section: Comparative Analysis Of Algorithmsmentioning

confidence: 91%

“…The relative error of magnetic field fitting and magnetic field extrapolation of CGLS-MCS algorithm are the same as that of CGLS-IDP algorithm. (2) The noise level is {10 −2 , 10 −1 , 2 × 10 −1 , 3 × 10 −1 , 5 × 10 −1 }, the relative error of the magnetic field fitting of CGLS-IDP algorithm and CGLS-MCS algorithm is the same, and the difference is within 0.2%.…”

Section: Comparative Analysis Of Algorithmsmentioning

confidence: 99%

“…Once the location of the magnetic source has been determined, the parameters can be identified based on the magnetic field measurements. The equivalent source models of the magnetic target magnetic field have many models, such as the single magnetic dipole model [1][2][3][4], magnetic monopole model [5], magnetic dipole array model, multi-magnetic dipole model [6][7][8], mono-ellipsoid model, ellipsoid and magnetic dipoles array hybrid model [9], ellipsoid harmonic model [10], and so on. The single magnetic dipole model has few unknown parameters and a small number of calculations, which are suitable for far-field conditions, but it cannot accurately simulate the target magnetic field in the near field.…”

Section: Introductionmentioning

confidence: 99%

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A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Lu,

Zhang,

Dai

2024

Meas. Sci. Technol.

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In order to solve the problem of magnetic moment estimation of magnetic targets, the inverse problem of magnetic moment estimation was constructed based on the hybrid model of ellipsoid and magnetic dipole array. In order to solve the ill-posed problem of the magnetic moment estimation equations, the method was designed to estimate the magnetic moment parameters of the ellipsoid and magnetic dipole array, and the improved discrepancy principle and the maximum chi-square distribution stop criterion were introduced to improve the semi-convergence behavior of the conjugate gradient least squares method. Through simulation examples of magnetic target magnetic moment estimation and ship model measurement data, the performance of two conjugate gradient least squares methods, Tikhonov algorithm and stepwise regression method, was compared and analyzed from four aspects: relative error of magnetic moment estimation, relative error of magnetic field fitting, relative error of magnetic field extrapolation, and computational time complexity. The conjugate gradient least squares method has the advantages of high accuracy of magnetic moment estimation, high immunity of magnetic moment estimation to interference, high accuracy of magnetic field fitting and extrapolation, and low computational time complexity.

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Section: Comparative Analysis Of Algorithmsmentioning

confidence: 91%

Section: Comparative Analysis Of Algorithmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Lu,

Zhang,

Dai

2024

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…Therefore, the magnetic signatures of complex ferromagnetic objects can be obtained analytically, thus greatly simplifying the calculation process [5,6] . The equivalent source models used to model the magnetic field of ships include the single magnetic dipole model [7][8][9][10] , the magnetic monopole model [6] , the magnetic dipole array model [11] , the monoellipsoid model [4,12] , the ellipsoid array model, and the hybrid model of the ellipsoid and magnetic dipole array [13] . The single magnetic dipole model has few unknown parameters and small amount of calculation, which is suitable for far-field conditions, but it cannot accurately simulate the target magnetic field in the near field.…”

Section: Introductionmentioning

confidence: 99%

Research on the applicability of regularization methods in ship magnetic field modeling based on magnetic dipole arrays

LU,

Zhang

2023

Preprint

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In order to solve the problem of ship magnetic field modeling, a magnetic dipole array model was established, a modeling inversion equation system was constructed, and the degree of sickness of the solved equation system under different numbers of magnetic dipoles was quantitatively analyzed based on the coefficient matrix conditional number. In order to solve the problem of the pathological system of magnetic field modeling equations, a regularization method based on the conjugate gradient least squares method was designed to invert the magnetic moment parameters of the magnetic dipole. In order to analyze the applicability of the regularization method in magnetic field modeling inversion, the modeling accuracy, modeling robustness, calculation time and other metrics are defined. A detailed test of the ship model was designed, and the magnetic field passing characteristics of the two types of ship models at different positive and horizontal conditions at two depths were measured. Under the condition of no interference and interference, the conjugate gradient least squares method is used to invert the magnetic field model, and the numerical test analysis shows that the conjugate gradient least squares method has higher applicability than the generalized inverse solution method and the stepwise regression method. Under the condition of interference, the relative error of magnetic field fitting of the array model with 15 magnetic dipoles is 0.1537, and the relative error of magnetic field extrapolation is 0.0868.

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An improved composite ship magnetic field model with ellipsoid and magnetic dipole arrays

Lu,

Zhang

2024

Sci Rep

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In order to simultaneously maintain the ship magnetic field modeling accuracy, reduce the number of coefficient matrix conditions and the model computational complexity, an improved composite model is designed by introducing the magnetic dipole array model with a single-axis magnetic moment on the basis of the hybrid ellipsoid and magnetic dipole array model. First, the improved composite model of the ship's magnetic field is established based on the magnetic dipole array model with 3-axis magnetic moment, the magnetic dipole array model with only x-axis magnetic moment, and the ellipsoid model. Secondly, the set of equations for calculating the magnetic moments of the composite model is established, and for the problem of solving the pathological set of equations, the least-squares estimation, stepwise regression method, Tikhonov, and truncated singular value decomposition regularization methods are introduced in terms of the magnetic field, and generalized cross-validation is used to solve the optimal regularization parameters. Finally, a ship model test is designed to compare and analyze the effectiveness of the composite and hybrid models in four aspects: the number of coefficient matrix conditions of the model equation set, the relative error of magnetic field fitting, the relative error of magnetic field extrapolation, and the computational time complexity. The modeling results based on the ship model test data show that the composite model can be used for modeling the magnetic field of ships, and compared with the hybrid model, it reduces the number of coefficient matrix conditions and improves the computational efficiency on the basis of retaining a higher modeling accuracy, and it can be effectively applied in related scientific research and engineering.

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A Robust Tracking Method for Multiple Moving Targets Based on Equivalent Magnetic Force

Cited by 6 publications

References 26 publications

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Research on the applicability of regularization methods in ship magnetic field modeling based on magnetic dipole arrays

An improved composite ship magnetic field model with ellipsoid and magnetic dipole arrays

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