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  • Online Resource  (2)
  • Hindawi Limited  (2)
  • Cao, Ting  (2)
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  • Online Resource  (2)
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  • Hindawi Limited  (2)
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  • 1
    Online Resource
    Online Resource
    Hindawi Limited ; 2020
    In:  Mathematical Problems in Engineering Vol. 2020 ( 2020-05-14), p. 1-13
    In: Mathematical Problems in Engineering, Hindawi Limited, Vol. 2020 ( 2020-05-14), p. 1-13
    Abstract: A novel spherical simplex Gauss–Laguerre quadrature cubature Kalman filter is proposed to improve the estimation accuracy of nonlinear dynamic system. The nonlinear Gaussian weighted integral has been approximately evaluated using the spherical simplex rule and the arbitrary order Gauss–Laguerre quadrature rule. Thus, a spherical simplex Gauss–Laguerre cubature quadrature rule is developed, from which the general computing method of the simplex cubature quadrature points and the corresponding weights are obtained. Then, under the nonlinear Kalman filtering framework, the spherical simplex Gauss–Laguerre quadrature cubature Kalman filter is derived. A high-dimensional nonlinear state estimation problem and a target tracking problem are utilized to demonstrate the effectiveness of the proposed spherical simplex Gauss–Laguerre cubature quadrature rule to improve the performance.
    Type of Medium: Online Resource
    ISSN: 1024-123X , 1563-5147
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2020
    detail.hit.zdb_id: 2014442-8
    SSG: 11
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  • 2
    Online Resource
    Online Resource
    Hindawi Limited ; 2020
    In:  Journal of Electrical and Computer Engineering Vol. 2020 ( 2020-02-24), p. 1-9
    In: Journal of Electrical and Computer Engineering, Hindawi Limited, Vol. 2020 ( 2020-02-24), p. 1-9
    Abstract: In order to improve the estimation accuracy of particle filter algorithm in a nonlinear system state estimation problem, a new algorithm based on the second-order divided difference filter to generate the proposed distribution and the differential evolution algorithm for resampling is proposed. The second-order divided difference based on Strling’s interpolation formula is used to generate approximations to nonlinear dynamics, which avoids the evaluation of the Jacobian derivative matrix and is easy to implement. Cholesky factorization is used to ensure the positive definiteness of the covariance matrix. The truncated errors of the local linearization are reduced to a certain extent, and the approximation degree of the proposed distribution to the posterior probability of the system state is improved. The differential evolution algorithm is used to replace the traditional resampling algorithm, which effectively mitigates the problem of particle degradation. Monte Carlo simulation experiments show the effectiveness of the new algorithm.
    Type of Medium: Online Resource
    ISSN: 2090-0147 , 2090-0155
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2020
    detail.hit.zdb_id: 2582829-0
    Location Call Number Limitation Availability
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