Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems
This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy pe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/176419 |
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| _version_ | 1832561907116015616 |
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| author | Shuping He Fei Liu |
| author_facet | Shuping He Fei Liu |
| author_sort | Shuping He |
| collection | DOAJ |
| description | This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time-delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms. |
| format | Article |
| id | doaj-art-3b2c89fbf9c24d14a748c045660e1961 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3b2c89fbf9c24d14a748c045660e19612025-02-03T01:23:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/176419176419Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping SystemsShuping He0Fei Liu1College of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, ChinaThis paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time-delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms.http://dx.doi.org/10.1155/2012/176419 |
| spellingShingle | Shuping He Fei Liu Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems Abstract and Applied Analysis |
| title | Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems |
| title_full | Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems |
| title_fullStr | Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems |
| title_full_unstemmed | Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems |
| title_short | Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems |
| title_sort | adaptive observer based fault estimation for stochastic markovian jumping systems |
| url | http://dx.doi.org/10.1155/2012/176419 |
| work_keys_str_mv | AT shupinghe adaptiveobserverbasedfaultestimationforstochasticmarkovianjumpingsystems AT feiliu adaptiveobserverbasedfaultestimationforstochasticmarkovianjumpingsystems |