Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation
This paper focuses on determining the limit state exceeding probability of a deteriorating model using optimal and sub-optimal Bayesian algorithms. Specifically the Kalman filter (for a linear system), extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation (for non...
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oai:animorepository.dlsu.edu.ph:faculty_research-67162022-06-02T01:47:27Z Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation Garciano, Lessandro Estelito O. Yoshida, Ikumasa This paper focuses on determining the limit state exceeding probability of a deteriorating model using optimal and sub-optimal Bayesian algorithms. Specifically the Kalman filter (for a linear system), extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation (for non-linear systems) are used to approximate the present state of a deteriorating system given measurements tainted with noise of the system output. In addition to the comprehensive discussion of the theory, numerical implementation and comparison of the results through numerical examples are shown. 2011-09-01T07:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/6033 Faculty Research Work Animo Repository Kalman filtering Monte Carlo method Structural analysis (Engineering) Structural analysis (Engineering)—Approximation methods Civil Engineering Construction Engineering and Management |
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Kalman filtering Monte Carlo method Structural analysis (Engineering) Structural analysis (Engineering)—Approximation methods Civil Engineering Construction Engineering and Management |
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Kalman filtering Monte Carlo method Structural analysis (Engineering) Structural analysis (Engineering)—Approximation methods Civil Engineering Construction Engineering and Management Garciano, Lessandro Estelito O. Yoshida, Ikumasa Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
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This paper focuses on determining the limit state exceeding probability of a deteriorating model using optimal and sub-optimal Bayesian algorithms. Specifically the Kalman filter (for a linear system), extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation (for non-linear systems) are used to approximate the present state of a deteriorating system given measurements tainted with noise of the system output. In addition to the comprehensive discussion of the theory, numerical implementation and comparison of the results through numerical examples are shown. |
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Garciano, Lessandro Estelito O. Yoshida, Ikumasa |
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Garciano, Lessandro Estelito O. Yoshida, Ikumasa |
author_sort |
Garciano, Lessandro Estelito O. |
title |
Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
title_short |
Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
title_full |
Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
title_fullStr |
Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
title_full_unstemmed |
Estimating the limit state exceeding probability of a deteriorating structure using the Kalman filter, extended Kalman filter, unscented Kalman filter and the sequential Monte Carlo simulation |
title_sort |
estimating the limit state exceeding probability of a deteriorating structure using the kalman filter, extended kalman filter, unscented kalman filter and the sequential monte carlo simulation |
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Animo Repository |
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2011 |
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https://animorepository.dlsu.edu.ph/faculty_research/6033 |
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