Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays
This paper is concerned with the optimal Kalman filtering problem for a class of discrete stochastic systems with multiplicative noises and random two-step sensor delays. Three Bernoulli distributed random variables with known conditional probabilities are introduced to characterize the phenomena of...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/809734 |
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| _version_ | 1832562782585749504 |
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| author | Dongyan Chen Yonglong Yu Long Xu Xiaohui Liu |
| author_facet | Dongyan Chen Yonglong Yu Long Xu Xiaohui Liu |
| author_sort | Dongyan Chen |
| collection | DOAJ |
| description | This paper is concerned with the optimal Kalman filtering problem for a class of discrete stochastic systems with multiplicative noises and random two-step sensor delays. Three Bernoulli distributed random variables with known conditional probabilities are introduced to characterize the phenomena of the random two-step sensor delays which may happen during the data transmission. By using the state augmentation approach and innovation analysis technique, an optimal Kalman filter is constructed for the augmented system in the sense of the minimum mean square error (MMSE). Subsequently, the optimal Kalman filtering is derived for corresponding augmented system in initial instants. Finally, a simulation example is provided to demonstrate the feasibility and effectiveness of the proposed filtering method. |
| format | Article |
| id | doaj-art-0068882cc46b466393d62f12d9efbca2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0068882cc46b466393d62f12d9efbca22025-02-03T01:21:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/809734809734Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor DelaysDongyan Chen0Yonglong Yu1Long Xu2Xiaohui Liu3Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Computer Science, Brunel University London, Uxbridge, Middlesex UB8 3PH, UKThis paper is concerned with the optimal Kalman filtering problem for a class of discrete stochastic systems with multiplicative noises and random two-step sensor delays. Three Bernoulli distributed random variables with known conditional probabilities are introduced to characterize the phenomena of the random two-step sensor delays which may happen during the data transmission. By using the state augmentation approach and innovation analysis technique, an optimal Kalman filter is constructed for the augmented system in the sense of the minimum mean square error (MMSE). Subsequently, the optimal Kalman filtering is derived for corresponding augmented system in initial instants. Finally, a simulation example is provided to demonstrate the feasibility and effectiveness of the proposed filtering method.http://dx.doi.org/10.1155/2015/809734 |
| spellingShingle | Dongyan Chen Yonglong Yu Long Xu Xiaohui Liu Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays Discrete Dynamics in Nature and Society |
| title | Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays |
| title_full | Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays |
| title_fullStr | Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays |
| title_full_unstemmed | Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays |
| title_short | Kalman Filtering for Discrete Stochastic Systems with Multiplicative Noises and Random Two-Step Sensor Delays |
| title_sort | kalman filtering for discrete stochastic systems with multiplicative noises and random two step sensor delays |
| url | http://dx.doi.org/10.1155/2015/809734 |
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