A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems

Abstract State estimation and dynamical model identification from observed data has been an attractive research area with a wide range of applications such as communication, navigation, radar target tracking, and system control. A method of Adaptive Fuzzy Unscented Kalman/H∞ Filter (AFUKH∞) to estim...

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Main Authors: Mojtaba Masoumnezhad, Mohammad Tehrani, Alireza Akoushideh, Nader Narimanzadeh
Format: Article
Language:English
Published: Wiley 2021-09-01
Series:IET Signal Processing
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Online Access:https://doi.org/10.1049/sil2.12044
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author Mojtaba Masoumnezhad
Mohammad Tehrani
Alireza Akoushideh
Nader Narimanzadeh
author_facet Mojtaba Masoumnezhad
Mohammad Tehrani
Alireza Akoushideh
Nader Narimanzadeh
author_sort Mojtaba Masoumnezhad
collection DOAJ
description Abstract State estimation and dynamical model identification from observed data has been an attractive research area with a wide range of applications such as communication, navigation, radar target tracking, and system control. A method of Adaptive Fuzzy Unscented Kalman/H∞ Filter (AFUKH∞) to estimate non‐linear systems is presented using a combination of the Unscented Kalman Filter (UKF) and Unscented H∞ Filter (UH∞F). The proposed filter does not need linearisation and is based on a combination of gain, a priori state estimation, and a priori measurement estimation in each time step. The performance of the filter is adaptively adjustable. Thus, its efficiency is better than the other two filters. Two fuzzy logic systems are proposed that determine the weight of the UKF and UH∞F filters at each step. These two fuzzy systems are designed to be independent of the dynamics of the system (problem). The proposed filter is referred to as a hybrid AFUKH∞‐II. In the proposed method, the state of the feedback is used as input that improves the efficiency of the filter. The challenge of reentry vehicle tracking and the state estimation of a magnetic motor as two non‐linear high‐order problems are used as benchmarks, and the results are compared with the UKF, UH∞F, and AFUKH∞ filters. The experiments show that an estimation of the proposed hybrid filter (AFUKH∞‐II) is improved against state‐of‐the‐art filters. Also, estimation error and variance values of the proposed filter in the presence of Gaussian noise is decreased by 270% and 370%, respectively, compared with the AFUKH∞ filter.
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spelling doaj-art-19e824cb62794687ad71d2896d7ce4d52025-02-03T06:47:26ZengWileyIET Signal Processing1751-96751751-96832021-09-0115745946610.1049/sil2.12044A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systemsMojtaba Masoumnezhad0Mohammad Tehrani1Alireza Akoushideh2Nader Narimanzadeh3Department of Mechanical Engineering, Faculty of Chamran Technical and Vocational University Guilan IranDepartment of Mechanical Engineering University of Guilan Rasht IranDepartment of Electrical Engineering, Faculty of Chamran Technical and Vocational University Guilan IranDepartment of Mechanical Engineering University of Guilan Rasht IranAbstract State estimation and dynamical model identification from observed data has been an attractive research area with a wide range of applications such as communication, navigation, radar target tracking, and system control. A method of Adaptive Fuzzy Unscented Kalman/H∞ Filter (AFUKH∞) to estimate non‐linear systems is presented using a combination of the Unscented Kalman Filter (UKF) and Unscented H∞ Filter (UH∞F). The proposed filter does not need linearisation and is based on a combination of gain, a priori state estimation, and a priori measurement estimation in each time step. The performance of the filter is adaptively adjustable. Thus, its efficiency is better than the other two filters. Two fuzzy logic systems are proposed that determine the weight of the UKF and UH∞F filters at each step. These two fuzzy systems are designed to be independent of the dynamics of the system (problem). The proposed filter is referred to as a hybrid AFUKH∞‐II. In the proposed method, the state of the feedback is used as input that improves the efficiency of the filter. The challenge of reentry vehicle tracking and the state estimation of a magnetic motor as two non‐linear high‐order problems are used as benchmarks, and the results are compared with the UKF, UH∞F, and AFUKH∞ filters. The experiments show that an estimation of the proposed hybrid filter (AFUKH∞‐II) is improved against state‐of‐the‐art filters. Also, estimation error and variance values of the proposed filter in the presence of Gaussian noise is decreased by 270% and 370%, respectively, compared with the AFUKH∞ filter.https://doi.org/10.1049/sil2.12044adaptive Kalman filtersfuzzy logicfuzzy systemsnonlinear dynamical systemsstate estimationstate feedback
spellingShingle Mojtaba Masoumnezhad
Mohammad Tehrani
Alireza Akoushideh
Nader Narimanzadeh
A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
IET Signal Processing
adaptive Kalman filters
fuzzy logic
fuzzy systems
nonlinear dynamical systems
state estimation
state feedback
title A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
title_full A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
title_fullStr A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
title_full_unstemmed A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
title_short A new adaptive fuzzy hybrid unscented Kalman/H‐infinity filter for state estimating dynamical systems
title_sort new adaptive fuzzy hybrid unscented kalman h infinity filter for state estimating dynamical systems
topic adaptive Kalman filters
fuzzy logic
fuzzy systems
nonlinear dynamical systems
state estimation
state feedback
url https://doi.org/10.1049/sil2.12044
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