Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer
This paper proposes a robust fault estimation method for nonlinear systems with both actuator and sensor faults. Specifically, a singular system is constructed by combining the state vector of the system with the fault vector of the sensor, and an augmented fault observer is designed by combining th...
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| Format: | Article |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10845763/ |
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| author | Yanxiu Sun Ying Du Yuping Zhang |
| author_facet | Yanxiu Sun Ying Du Yuping Zhang |
| author_sort | Yanxiu Sun |
| collection | DOAJ |
| description | This paper proposes a robust fault estimation method for nonlinear systems with both actuator and sensor faults. Specifically, a singular system is constructed by combining the state vector of the system with the fault vector of the sensor, and an augmented fault observer is designed by combining the fault estimation algorithm of the adaptive actuator. First, an augmented fault observer for linear systems with perturbations is designed, and the sufficient conditions for the asymptotic stability of the observation error system are ascertained so that the state of the singular system can be observed. Second, considering the nonlinear characteristics of the actual control system, sufficient conditions for the existence of the augmented fault observer are determined. Finally, the design method of augmented fault observer for nonlinear systems is extended to nonlinear systems with both input interference and sensor disturbance, and sufficient conditions for the existence of the observer are found. In the design of the observer, the influence of disturbance on the system fault estimation, convergence speed of fault estimation error, and convenience of observer design are considered. Moreover, an estimation method is devised for the fault diagnosis of actuators and sensors in the control system. Finally, a numerical example that tests the design method of augmented fault observer and effect of system fault estimation is presented. The superiority and effectiveness of the method are thus verified. |
| format | Article |
| id | doaj-art-d48d674dc45d4e60b62346c5c5acbc20 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-d48d674dc45d4e60b62346c5c5acbc202025-01-28T00:01:21ZengIEEEIEEE Access2169-35362025-01-0113153011531110.1109/ACCESS.2025.353155910845763Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault ObserverYanxiu Sun0https://orcid.org/0009-0008-8577-6962Ying Du1Yuping Zhang2Basic Course Department, Shenyang Institute of Technology, Fushun, ChinaBasic Course Department, Shenyang Institute of Technology, Fushun, ChinaCollege of Science, Liaoning Petrochemical University, Fushun, ChinaThis paper proposes a robust fault estimation method for nonlinear systems with both actuator and sensor faults. Specifically, a singular system is constructed by combining the state vector of the system with the fault vector of the sensor, and an augmented fault observer is designed by combining the fault estimation algorithm of the adaptive actuator. First, an augmented fault observer for linear systems with perturbations is designed, and the sufficient conditions for the asymptotic stability of the observation error system are ascertained so that the state of the singular system can be observed. Second, considering the nonlinear characteristics of the actual control system, sufficient conditions for the existence of the augmented fault observer are determined. Finally, the design method of augmented fault observer for nonlinear systems is extended to nonlinear systems with both input interference and sensor disturbance, and sufficient conditions for the existence of the observer are found. In the design of the observer, the influence of disturbance on the system fault estimation, convergence speed of fault estimation error, and convenience of observer design are considered. Moreover, an estimation method is devised for the fault diagnosis of actuators and sensors in the control system. Finally, a numerical example that tests the design method of augmented fault observer and effect of system fault estimation is presented. The superiority and effectiveness of the method are thus verified.https://ieeexplore.ieee.org/document/10845763/Fault observerfault reconstructionlinear matrix inequalitiessingular systems |
| spellingShingle | Yanxiu Sun Ying Du Yuping Zhang Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer IEEE Access Fault observer fault reconstruction linear matrix inequalities singular systems |
| title | Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer |
| title_full | Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer |
| title_fullStr | Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer |
| title_full_unstemmed | Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer |
| title_short | Fault Estimation Method for Nonlinear Systems With Perturbations Based on Augmented Fault Observer |
| title_sort | fault estimation method for nonlinear systems with perturbations based on augmented fault observer |
| topic | Fault observer fault reconstruction linear matrix inequalities singular systems |
| url | https://ieeexplore.ieee.org/document/10845763/ |
| work_keys_str_mv | AT yanxiusun faultestimationmethodfornonlinearsystemswithperturbationsbasedonaugmentedfaultobserver AT yingdu faultestimationmethodfornonlinearsystemswithperturbationsbasedonaugmentedfaultobserver AT yupingzhang faultestimationmethodfornonlinearsystemswithperturbationsbasedonaugmentedfaultobserver |