Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model
In this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/11/2547 |
| _version_ | 1797597103491383296 |
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| author | Jianing Cao Hua Chen |
| author_facet | Jianing Cao Hua Chen |
| author_sort | Jianing Cao |
| collection | DOAJ |
| description | In this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devised to build an equal system free of TVD. Additionally, the sensor fault is changed to actuator fault by the developed coordinate transformation. A fuzzy learning fault estimator is first built to estimate the detailed sensor fault information. Then, a PI FTC scheme is suggested aiming at minimizing the damage caused by the fault. Simulation results from multiple faults reveal that the FE and FTC algorithms are able to estimate the fault and guarantee the system performance properly. |
| first_indexed | 2024-03-11T03:02:04Z |
| format | Article |
| id | doaj.art-d9dff5e48b9d470e9a8575c3956c12b3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:02:04Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d9dff5e48b9d470e9a8575c3956c12b32023-11-18T08:13:31ZengMDPI AGMathematics2227-73902023-06-011111254710.3390/math11112547Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy ModelJianing Cao0Hua Chen1College of Science, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Science, China University of Petroleum (East China), Qingdao 266580, ChinaIn this paper, a mathematical model based on the T-S fuzzy model is proposed to solve the fault estimation (FE) and fault-tolerant control (FTC) problem for singular nonlinear time-varying delay (TVD) systems with sensor fault. TVD is is extremely difficult to solve and the Laplace transform is devised to build an equal system free of TVD. Additionally, the sensor fault is changed to actuator fault by the developed coordinate transformation. A fuzzy learning fault estimator is first built to estimate the detailed sensor fault information. Then, a PI FTC scheme is suggested aiming at minimizing the damage caused by the fault. Simulation results from multiple faults reveal that the FE and FTC algorithms are able to estimate the fault and guarantee the system performance properly.https://www.mdpi.com/2227-7390/11/11/2547T-S fuzzy modeltime-varying delaysingular systemssensor faultFEFTC |
| spellingShingle | Jianing Cao Hua Chen Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model Mathematics T-S fuzzy model time-varying delay singular systems sensor fault FE FTC |
| title | Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model |
| title_full | Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model |
| title_fullStr | Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model |
| title_full_unstemmed | Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model |
| title_short | Mathematical Model for Fault Handling of Singular Nonlinear Time-Varying Delay Systems Based on T-S Fuzzy Model |
| title_sort | mathematical model for fault handling of singular nonlinear time varying delay systems based on t s fuzzy model |
| topic | T-S fuzzy model time-varying delay singular systems sensor fault FE FTC |
| url | https://www.mdpi.com/2227-7390/11/11/2547 |
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