Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements

This paper investigates the problem on simultaneously estimating the velocity and position of the target for range-based multi-USV positioning systems. According to the range measurement and kinematics model of the target, we formulate this problem in a mixed linear/nonlinear discrete-time system. I...

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Main Authors: Wei Chen, Ruisheng Sun, Weisheng Yan
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/5452723
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author Wei Chen
Ruisheng Sun
Weisheng Yan
author_facet Wei Chen
Ruisheng Sun
Weisheng Yan
author_sort Wei Chen
collection DOAJ
description This paper investigates the problem on simultaneously estimating the velocity and position of the target for range-based multi-USV positioning systems. According to the range measurement and kinematics model of the target, we formulate this problem in a mixed linear/nonlinear discrete-time system. In this system, the input and state represent the velocity and position of the target, respectively. We divide the system into two components and propose a three-step minimum variance unbiased simultaneous input and state estimation (SISE) algorithm. First, we estimate the velocity in the local level plane and predict the corresponding position. Then, we estimate the velocity in the heave direction. Finally, we estimate the 3-dimensional (3D) velocity and position. We establish the unbiased conditions of the input and state estimation for the MLBL system. Simulation results illustrate the effectiveness of the problem formulation and demonstrate the performance of the proposed algorithm.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-6d7885d4d40c41259c53c4b2935bfde12025-02-03T01:24:14ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/54527235452723Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range MeasurementsWei Chen0Ruisheng Sun1Weisheng Yan2School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaSchool of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, ChinaThis paper investigates the problem on simultaneously estimating the velocity and position of the target for range-based multi-USV positioning systems. According to the range measurement and kinematics model of the target, we formulate this problem in a mixed linear/nonlinear discrete-time system. In this system, the input and state represent the velocity and position of the target, respectively. We divide the system into two components and propose a three-step minimum variance unbiased simultaneous input and state estimation (SISE) algorithm. First, we estimate the velocity in the local level plane and predict the corresponding position. Then, we estimate the velocity in the heave direction. Finally, we estimate the 3-dimensional (3D) velocity and position. We establish the unbiased conditions of the input and state estimation for the MLBL system. Simulation results illustrate the effectiveness of the problem formulation and demonstrate the performance of the proposed algorithm.http://dx.doi.org/10.1155/2018/5452723
spellingShingle Wei Chen
Ruisheng Sun
Weisheng Yan
Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
Complexity
title Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
title_full Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
title_fullStr Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
title_full_unstemmed Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
title_short Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements
title_sort optimal position and velocity estimation for multi usv positioning systems with range measurements
url http://dx.doi.org/10.1155/2018/5452723
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