Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault
In this article, an optimal timing fault tolerant control strategy is addressed for switched stochastic systems with unknown drift fault for each switching point. The proposed controllers in existing optimal timing control schemes are not directly aimed at the switched drift fault system, which affe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/11/1880 |
| _version_ | 1797492653568294912 |
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| author | Chenglong Zhu Li He Kanjian Zhang Wei Sun Zengxiang He |
| author_facet | Chenglong Zhu Li He Kanjian Zhang Wei Sun Zengxiang He |
| author_sort | Chenglong Zhu |
| collection | DOAJ |
| description | In this article, an optimal timing fault tolerant control strategy is addressed for switched stochastic systems with unknown drift fault for each switching point. The proposed controllers in existing optimal timing control schemes are not directly aimed at the switched drift fault system, which affects the optimal control performance. A cost functional with system state information and fault variable is constructed. By solving the optimal switching time criterion, the switched stochastic system can accommodate switching drift fault. The variational technique is presented for the proposed cost function in deriving the gradient formula. Then, the optimal fault tolerant switching time is calculated by combining the Armijo step-size gradient descent algorithm. Finally, the effectiveness of the proposed controller design scheme is proved by the safe trajectory planning for a four wheel drive mobile robot and numerical example. |
| first_indexed | 2024-03-10T01:06:48Z |
| format | Article |
| id | doaj.art-c89bccd8facd41b5ac285515088e103e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:06:48Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c89bccd8facd41b5ac285515088e103e2023-11-23T14:26:13ZengMDPI AGMathematics2227-73902022-05-011011188010.3390/math10111880Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift FaultChenglong Zhu0Li He1Kanjian Zhang2Wei Sun3Zengxiang He4School of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaNew Drug Research and Development Co., Ltd., State Key Laboratory of Antibody Research & Development, NCPC, Shijiazhuang 052165, ChinaKey Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, ChinaSchool of Mathematics Science, Liaocheng University, Liaocheng 252000, ChinaKey Laboratory of Measurement and Control of CSE Ministry of Education, School of Automation, Southeast University, Nanjing 210096, ChinaIn this article, an optimal timing fault tolerant control strategy is addressed for switched stochastic systems with unknown drift fault for each switching point. The proposed controllers in existing optimal timing control schemes are not directly aimed at the switched drift fault system, which affects the optimal control performance. A cost functional with system state information and fault variable is constructed. By solving the optimal switching time criterion, the switched stochastic system can accommodate switching drift fault. The variational technique is presented for the proposed cost function in deriving the gradient formula. Then, the optimal fault tolerant switching time is calculated by combining the Armijo step-size gradient descent algorithm. Finally, the effectiveness of the proposed controller design scheme is proved by the safe trajectory planning for a four wheel drive mobile robot and numerical example.https://www.mdpi.com/2227-7390/10/11/1880fault tolerant controlswitching time faultoptimal timing controlswitched stochastic systemsfour wheel drive mobile robot |
| spellingShingle | Chenglong Zhu Li He Kanjian Zhang Wei Sun Zengxiang He Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault Mathematics fault tolerant control switching time fault optimal timing control switched stochastic systems four wheel drive mobile robot |
| title | Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault |
| title_full | Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault |
| title_fullStr | Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault |
| title_full_unstemmed | Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault |
| title_short | Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault |
| title_sort | optimal timing fault tolerant control for switched stochastic systems with switched drift fault |
| topic | fault tolerant control switching time fault optimal timing control switched stochastic systems four wheel drive mobile robot |
| url | https://www.mdpi.com/2227-7390/10/11/1880 |
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