An FEM-Based State Estimation Approach to Nonlinear Hybrid Positioning Systems
Joint Authors
Zhao, Yu-Xin
Chen, Li-Juan
Ma, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
For hybrid positioning systems (HPSs), the estimator design is a crucial and important problem.
In this paper, a finite-element-method- (FEM-) based state estimation approach is proposed to HPS.
As the weak solution of hybrid stochastic differential model is denoted by the Kolmogorov's forward equation, this paper constructs its interpolating point through the classical fourth-order Runge-Kutta method.
Then, it approaches the solution with biquadratic interpolation function to obtain a prior probability density function of the state.
A posterior probability density function is gained through Bayesian formula finally.
In theory, the proposed scheme has more advantages in the performance of complexity and convergence for low-dimensional systems.
By taking an illustrative example, numerical experiment results show that the new state estimator is feasible and has good performance than PF and UKF.
American Psychological Association (APA)
Zhao, Yu-Xin& Chen, Li-Juan& Ma, Yan. 2013. An FEM-Based State Estimation Approach to Nonlinear Hybrid Positioning Systems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031717
Modern Language Association (MLA)
Zhao, Yu-Xin…[et al.]. An FEM-Based State Estimation Approach to Nonlinear Hybrid Positioning Systems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031717
American Medical Association (AMA)
Zhao, Yu-Xin& Chen, Li-Juan& Ma, Yan. An FEM-Based State Estimation Approach to Nonlinear Hybrid Positioning Systems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031717
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031717