Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter

The paper focuses on the optimal state-estimation algorithm for discrete-continuous systems. The research aim is to create an effective strategy for combining data from continuous and discrete information sources to improve the state estimation accuracy and reliability of complex dynamic systems. Th...

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Main Authors: Vadim Kramar, Kirill Dementiev, Aleksey Kabanov
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/13/5/933
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author Vadim Kramar
Kirill Dementiev
Aleksey Kabanov
author_facet Vadim Kramar
Kirill Dementiev
Aleksey Kabanov
author_sort Vadim Kramar
collection DOAJ
description The paper focuses on the optimal state-estimation algorithm for discrete-continuous systems. The research aim is to create an effective strategy for combining data from continuous and discrete information sources to improve the state estimation accuracy and reliability of complex dynamic systems. The paper discusses, in detail, the theoretical foundations of the proposed method, including the mathematical description of continuous and discrete models, and its optimality criterion formulation. State-vector augmentation is proposed to improve the estimation convergence. The authors present numerical modeling results demonstrating the algorithm’s efficiency on the example of motion parameter estimation for the autonomous underwater vehicle. The conclusions are drawn about the promising application for the developed algorithm in various fields related to information processing in complex technical systems, such as navigation, motion control, and state and processes monitoring. It is noted that the proposed approach can be generalized to the case of more sources’ fusion. The paper is considered to be valuable for specialists in control theory and signal and information processing, as well as for navigation and motion-control system designers. The results obtained may find practical application in the development of high-precision state-estimation systems in various technical applications.
format Article
id doaj-art-7d60a3bf4fce4906beb3f2be9ea3ca5e
institution OA Journals
issn 2077-1312
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publishDate 2025-05-01
publisher MDPI AG
record_format Article
series Journal of Marine Science and Engineering
spelling doaj-art-7d60a3bf4fce4906beb3f2be9ea3ca5e2025-08-20T02:34:01ZengMDPI AGJournal of Marine Science and Engineering2077-13122025-05-0113593310.3390/jmse13050933Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman FilterVadim Kramar0Kirill Dementiev1Aleksey Kabanov2Robotics and Intelligent Control Systems Laboratory, Sevastopol State University, Sevastopol 299053, RussiaRobotics and Intelligent Control Systems Laboratory, Sevastopol State University, Sevastopol 299053, RussiaRobotics and Intelligent Control Systems Laboratory, Sevastopol State University, Sevastopol 299053, RussiaThe paper focuses on the optimal state-estimation algorithm for discrete-continuous systems. The research aim is to create an effective strategy for combining data from continuous and discrete information sources to improve the state estimation accuracy and reliability of complex dynamic systems. The paper discusses, in detail, the theoretical foundations of the proposed method, including the mathematical description of continuous and discrete models, and its optimality criterion formulation. State-vector augmentation is proposed to improve the estimation convergence. The authors present numerical modeling results demonstrating the algorithm’s efficiency on the example of motion parameter estimation for the autonomous underwater vehicle. The conclusions are drawn about the promising application for the developed algorithm in various fields related to information processing in complex technical systems, such as navigation, motion control, and state and processes monitoring. It is noted that the proposed approach can be generalized to the case of more sources’ fusion. The paper is considered to be valuable for specialists in control theory and signal and information processing, as well as for navigation and motion-control system designers. The results obtained may find practical application in the development of high-precision state-estimation systems in various technical applications.https://www.mdpi.com/2077-1312/13/5/933continuous-discrete systemssensor fusionstate estimationoptimal estimationterminal systems
spellingShingle Vadim Kramar
Kirill Dementiev
Aleksey Kabanov
Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
Journal of Marine Science and Engineering
continuous-discrete systems
sensor fusion
state estimation
optimal estimation
terminal systems
title Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
title_full Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
title_fullStr Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
title_full_unstemmed Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
title_short Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter
title_sort optimal state estimation in underwater vehicle discrete continuous measurements via augmented hybrid kalman filter
topic continuous-discrete systems
sensor fusion
state estimation
optimal estimation
terminal systems
url https://www.mdpi.com/2077-1312/13/5/933
work_keys_str_mv AT vadimkramar optimalstateestimationinunderwatervehiclediscretecontinuousmeasurementsviaaugmentedhybridkalmanfilter
AT kirilldementiev optimalstateestimationinunderwatervehiclediscretecontinuousmeasurementsviaaugmentedhybridkalmanfilter
AT alekseykabanov optimalstateestimationinunderwatervehiclediscretecontinuousmeasurementsviaaugmentedhybridkalmanfilter