Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays
This paper proposes two novel, event-triggered fault-tolerant control strategies for a class of stochastic systems with state delays. The plant is disturbed by a Gaussian process, actuator faults, and unknown disturbances. First, a special case about fault signals that are coupled to the unknown dis...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-06-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/18/6/1929 |
| _version_ | 1798024284038234112 |
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| author | Yi Gao YunJi Li Li Peng Junyu Liu |
| author_facet | Yi Gao YunJi Li Li Peng Junyu Liu |
| author_sort | Yi Gao |
| collection | DOAJ |
| description | This paper proposes two novel, event-triggered fault-tolerant control strategies for a class of stochastic systems with state delays. The plant is disturbed by a Gaussian process, actuator faults, and unknown disturbances. First, a special case about fault signals that are coupled to the unknown disturbances is discussed, and then a fault-tolerant strategy is designed based on an event condition on system states. Subsequently, a send-on-delta transmission framework is established to deal with the problem of fault-tolerant control strategy against fault signals separated from the external disturbances. Two criteria are provided to design feedback controllers in order to guarantee that the systems are exponentially mean-square stable, and the corresponding H∞-norm disturbance attenuation levels are achieved. Two theorems were obtained by synthesizing the feedback control gains and the desired event conditions in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed theoretical results. |
| first_indexed | 2024-04-11T17:59:56Z |
| format | Article |
| id | doaj.art-a72402da7d774ab1ba0f2496e7452945 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T17:59:56Z |
| publishDate | 2018-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-a72402da7d774ab1ba0f2496e74529452022-12-22T04:10:32ZengMDPI AGSensors1424-82202018-06-01186192910.3390/s18061929s18061929Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-DelaysYi Gao0YunJi Li1Li Peng2Junyu Liu3Engineering Research Center of Internet of Things Technology Applications Ministry of Education, Jiangnan University, Wuxi 214122, ChinaEngineering Research Center of Internet of Things Technology Applications Ministry of Education, Jiangnan University, Wuxi 214122, ChinaEngineering Research Center of Internet of Things Technology Applications Ministry of Education, Jiangnan University, Wuxi 214122, ChinaDublin Institute of Technology, 19A Lower Kevin Street, Dublin 8, IrelandThis paper proposes two novel, event-triggered fault-tolerant control strategies for a class of stochastic systems with state delays. The plant is disturbed by a Gaussian process, actuator faults, and unknown disturbances. First, a special case about fault signals that are coupled to the unknown disturbances is discussed, and then a fault-tolerant strategy is designed based on an event condition on system states. Subsequently, a send-on-delta transmission framework is established to deal with the problem of fault-tolerant control strategy against fault signals separated from the external disturbances. Two criteria are provided to design feedback controllers in order to guarantee that the systems are exponentially mean-square stable, and the corresponding H∞-norm disturbance attenuation levels are achieved. Two theorems were obtained by synthesizing the feedback control gains and the desired event conditions in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed theoretical results.http://www.mdpi.com/1424-8220/18/6/1929time delaysevent-triggered controlrobust H∞ controlmean-square stability |
| spellingShingle | Yi Gao YunJi Li Li Peng Junyu Liu Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays Sensors time delays event-triggered control robust H∞ control mean-square stability |
| title | Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays |
| title_full | Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays |
| title_fullStr | Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays |
| title_full_unstemmed | Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays |
| title_short | Design of Event-Triggered Fault-Tolerant Control for Stochastic Systems with Time-Delays |
| title_sort | design of event triggered fault tolerant control for stochastic systems with time delays |
| topic | time delays event-triggered control robust H∞ control mean-square stability |
| url | http://www.mdpi.com/1424-8220/18/6/1929 |
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