scholarly journals Weighted Measurement Fusion Particle Filter for Nonlinear Systems with Correlated Noises

Sensors ◽  
2018 ◽  
Vol 18 (10) ◽  
pp. 3242 ◽  
Author(s):  
Ke Wei Zhang ◽  
Gang Hao ◽  
Shu Li Sun
Keyword(s):  
Nonlinear Systems ◽  
Particle Filter ◽  
Series Expansion ◽  
Taylor Series ◽  
Asymptotic Optimality ◽  
Taylor Series Expansion ◽  
Full Rank ◽  
Expansion Method ◽  
Least Square ◽  
Correlated Noises

The multi-sensor information fusion particle filter (PF) has been put forward for nonlinear systems with correlated noises. The proposed algorithm uses the Taylor series expansion method, which makes the nonlinear measurement functions have a linear relationship by the intermediary function. A weighted measurement fusion PF (WMF-PF) was put forward for systems with correlated noises by applying the full rank decomposition and the weighted least square theory. Compared with the augmented optimal centralized fusion particle filter (CF-PF), it could greatly reduce the amount of calculation. Moreover, it showed asymptotic optimality as the Taylor series expansion increased. The simulation examples illustrate the effectiveness and correctness of the proposed algorithm.

SIMULATION OF NATURAL CONVECTION BY TAYLOR SERIES EXPANSION- AND LEAST SQUARE-BASED LBM

2003 ◽  
Vol 17 (01n02) ◽  
pp. 165-168
Author(s):  
YAN PENG ◽  
C. SHU ◽  
Y. T. CHEW
Keyword(s):  
Natural Convection ◽  
Series Expansion ◽  
Taylor Series ◽  
Thermal Model ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Energy Density Distribution ◽  
Mesh Structure ◽  
Benchmark Data ◽  
Boltzmann Method

The Taylor series expansion- and least squares- based lattice Boltzmann method (TLLBM) is used in this paper to extend the internal energy density distribution function (IEDDF) thermal model to be used on the arbitrary geometry in order to solve practical thermo-hydrodynamics in incompressible limit. The TLLBM essentially has no limitation on the mesh structure and the lattice model. Its use in the thermal model was validated by the numerical simulation of natural convection in a square cavity. Then its application on the curved boundary, natural convection in concentric annuli, was carried out. Favorable results were obtained and compared well with the benchmark data.

Cooperative Positioning Based on Hybrid Information

2013 ◽  
Vol 694-697 ◽  
pp. 940-946 ◽  
Author(s):  
Xiang Hui Zeng ◽  
Hong Tao Hou ◽  
Qiang Chang ◽  
Qun Li ◽  
Wei Ping Wang
Keyword(s):  
Wireless Network ◽  
Series Expansion ◽  
Taylor Series ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Positioning Accuracy ◽  
Localization Method ◽  
Cooperative Positioning ◽  
Simulation Results

A new localization method has been proposed to overcome the limitations of systems relying on GPS or other terrestrial infrastructure. This method fuses both pseudorange measurements from GNSS satellites and RSSI-based ranging measurements between peers of a wireless network, and uses improved collaborative subtree algorithm to partition the network. In each collaborative subtree, the nodes’ positions can be computed by using the least square algorithm based on Taylor series expansion-based. Simulation results showed that this method improves both availability and positioning accuracy.

Rationalize the irrational and fractional expressions in nonlinear analysis

2016 ◽  
Vol 30 (04) ◽  
pp. 1650068 ◽  
Author(s):  
Yongfeng Yang ◽  
Tingdong Jiang ◽  
Zhong Ren ◽  
Junyao Zhao ◽  
Zheng Zhang
Keyword(s):  
Nonlinear Analysis ◽  
Series Expansion ◽  
Taylor Series ◽  
Impact Force ◽  
Taylor Series Expansion ◽  
Expansion Method ◽  
Stochastic Bifurcation ◽  
Bifurcation And Chaos ◽  
Integral Process ◽  
Series Expansion Method

Chebyshev polynomial approximation is an effective method to study the stochastic bifurcation and chaos. However, due to irrational and fractional expressions existing in the denominator of some mechanical systems, the integral process is very complicated. The Taylor series expansion is proposed to expand the irrational and fractional expressions into a series of polynomials. Smooth and discontinuous oscillator was taken as an example, and the results show that the Taylor series expansion method is acceptable. The rub-impact force was taken as another example. Numerical results indicate that the method is suitable for the rub-impact rotor system.

scholarly journals An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Okan Ozer ◽  
Halide Koklu
Keyword(s):  
Series Expansion ◽  
Excellent Agreement ◽  
Taylor Series ◽  
Taylor Expansion ◽  
Eigenvalue Problems ◽  
Energy Eigenvalue ◽  
Taylor Series Expansion ◽  
Expansion Method ◽  
Energy Eigenvalues ◽  
Alternative Approach

Energy eigenvalues of quartic and sextic type anharmonic potentials are obtained by using an alternative method called asymptotic Taylor expansion method (ATEM) which is an approximate approach based on the asymptotic Taylor series expansion of a function. It is shown that the energy eigenvalues found by ATEM are in excellent agreement with the existing results.

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