Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target

In this study, an intelligent computing paradigm built on a nonlinear autoregressive exogenous (NARX) feedback neural network model with the strength of deep learning is presented for accurate state estimation of an underwater passive target. In underwater scenarios, real-time motion parameters of p...

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Main Authors: Wasiq Ali, Wasim Ullah Khan, Muhammad Asif Zahoor Raja, Yigang He, Yaan Li
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/5/550
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author Wasiq Ali
Wasim Ullah Khan
Muhammad Asif Zahoor Raja
Yigang He
Yaan Li
author_facet Wasiq Ali
Wasim Ullah Khan
Muhammad Asif Zahoor Raja
Yigang He
Yaan Li
author_sort Wasiq Ali
collection DOAJ
description In this study, an intelligent computing paradigm built on a nonlinear autoregressive exogenous (NARX) feedback neural network model with the strength of deep learning is presented for accurate state estimation of an underwater passive target. In underwater scenarios, real-time motion parameters of passive objects are usually extracted with nonlinear filtering techniques. In filtering algorithms, nonlinear passive measurements are associated with linear kinetics of the target, governing by state space methodology. To improve tracking accuracy, effective feature estimation and minimizing position error of dynamic passive objects, the strength of NARX based supervised learning is exploited. Dynamic artificial neural networks, which contain tapped delay lines, are suitable for predicting the future state of the underwater passive object. Neural networks-based intelligence computing is effectively applied for estimating the real-time actual state of a passive moving object, which follows a semi-curved path. Performance analysis of NARX based neural networks is evaluated for six different scenarios of standard deviation of white Gaussian measurement noise by following bearings only tracking phenomena. Root mean square error between estimated and real position of the passive target in rectangular coordinates is computed for evaluating the worth of the proposed NARX feedback neural network scheme. The Monte Carlo simulations are conducted and the results certify the capability of the intelligence computing over conventional nonlinear filtering algorithms such as spherical radial cubature Kalman filter and unscented Kalman filter for given state estimation model.
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spelling doaj.art-13453fd90eac4ac2b05b06f671735c222023-11-21T17:50:15ZengMDPI AGEntropy1099-43002021-04-0123555010.3390/e23050550Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive TargetWasiq Ali0Wasim Ullah Khan1Muhammad Asif Zahoor Raja2Yigang He3Yaan Li4School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaFuture Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, TaiwanSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaIn this study, an intelligent computing paradigm built on a nonlinear autoregressive exogenous (NARX) feedback neural network model with the strength of deep learning is presented for accurate state estimation of an underwater passive target. In underwater scenarios, real-time motion parameters of passive objects are usually extracted with nonlinear filtering techniques. In filtering algorithms, nonlinear passive measurements are associated with linear kinetics of the target, governing by state space methodology. To improve tracking accuracy, effective feature estimation and minimizing position error of dynamic passive objects, the strength of NARX based supervised learning is exploited. Dynamic artificial neural networks, which contain tapped delay lines, are suitable for predicting the future state of the underwater passive object. Neural networks-based intelligence computing is effectively applied for estimating the real-time actual state of a passive moving object, which follows a semi-curved path. Performance analysis of NARX based neural networks is evaluated for six different scenarios of standard deviation of white Gaussian measurement noise by following bearings only tracking phenomena. Root mean square error between estimated and real position of the passive target in rectangular coordinates is computed for evaluating the worth of the proposed NARX feedback neural network scheme. The Monte Carlo simulations are conducted and the results certify the capability of the intelligence computing over conventional nonlinear filtering algorithms such as spherical radial cubature Kalman filter and unscented Kalman filter for given state estimation model.https://www.mdpi.com/1099-4300/23/5/550nonlinear autoregressive with exogenous input (NARX)state estimationartificial neural networkmeasurement noisenonlinear filteringintelligent computing
spellingShingle Wasiq Ali
Wasim Ullah Khan
Muhammad Asif Zahoor Raja
Yigang He
Yaan Li
Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
Entropy
nonlinear autoregressive with exogenous input (NARX)
state estimation
artificial neural network
measurement noise
nonlinear filtering
intelligent computing
title Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
title_full Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
title_fullStr Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
title_full_unstemmed Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
title_short Design of Nonlinear Autoregressive Exogenous Model Based Intelligence Computing for Efficient State Estimation of Underwater Passive Target
title_sort design of nonlinear autoregressive exogenous model based intelligence computing for efficient state estimation of underwater passive target
topic nonlinear autoregressive with exogenous input (NARX)
state estimation
artificial neural network
measurement noise
nonlinear filtering
intelligent computing
url https://www.mdpi.com/1099-4300/23/5/550
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