Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers
In this paper, the problem of adaptive neural fault-tolerant control (FTC) for the fractional-order nonlinear systems (FNSs) with positive odd rational powers (PORPs) is considered. By using the radial basis function neural networks (RBF NNs), the unknown nonlinear functions from the controlled syst...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/11/622 |
| _version_ | 1827646478592507904 |
|---|---|
| author | Jiawei Ma Huanqing Wang Yakun Su Cungen Liu Ming Chen |
| author_facet | Jiawei Ma Huanqing Wang Yakun Su Cungen Liu Ming Chen |
| author_sort | Jiawei Ma |
| collection | DOAJ |
| description | In this paper, the problem of adaptive neural fault-tolerant control (FTC) for the fractional-order nonlinear systems (FNSs) with positive odd rational powers (PORPs) is considered. By using the radial basis function neural networks (RBF NNs), the unknown nonlinear functions from the controlled system can be approximated. With the help of an adaptive control ideology, the unknown control rate of the actuator fault can be handled. In particular, the FNSs subject to high-order terms are studied for the first time. In addition, the designed controller can ensure the boundedness of all the signals of the closed-loop control system, and the tracking error can tend to a small neighborhood of zero in the end. Finally, the illustrative examples are shown to validate the effectiveness of the developed method. |
| first_indexed | 2024-03-09T19:04:13Z |
| format | Article |
| id | doaj.art-1e22c62b60b547118bfcf7b06bb179ae |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T19:04:13Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-1e22c62b60b547118bfcf7b06bb179ae2023-11-24T04:44:59ZengMDPI AGFractal and Fractional2504-31102022-10-0161162210.3390/fractalfract6110622Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational PowersJiawei Ma0Huanqing Wang1Yakun Su2Cungen Liu3Ming Chen4College of Mathematical Sciences, Bohai University, Jinzhou 121000, ChinaCollege of Mathematical Sciences, Bohai University, Jinzhou 121000, ChinaCollege of Mathematical Sciences, Bohai University, Jinzhou 121000, ChinaSchool of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250000, ChinaSchool of Electronic and Information Engineering, University of Science and Technology at Liaoning, Anshan 114051, ChinaIn this paper, the problem of adaptive neural fault-tolerant control (FTC) for the fractional-order nonlinear systems (FNSs) with positive odd rational powers (PORPs) is considered. By using the radial basis function neural networks (RBF NNs), the unknown nonlinear functions from the controlled system can be approximated. With the help of an adaptive control ideology, the unknown control rate of the actuator fault can be handled. In particular, the FNSs subject to high-order terms are studied for the first time. In addition, the designed controller can ensure the boundedness of all the signals of the closed-loop control system, and the tracking error can tend to a small neighborhood of zero in the end. Finally, the illustrative examples are shown to validate the effectiveness of the developed method.https://www.mdpi.com/2504-3110/6/11/622fractional-order systemsneural networkhigh-order systemsactuator fault |
| spellingShingle | Jiawei Ma Huanqing Wang Yakun Su Cungen Liu Ming Chen Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers Fractal and Fractional fractional-order systems neural network high-order systems actuator fault |
| title | Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers |
| title_full | Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers |
| title_fullStr | Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers |
| title_full_unstemmed | Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers |
| title_short | Adaptive Neural Fault-Tolerant Control for Nonlinear Fractional-Order Systems with Positive Odd Rational Powers |
| title_sort | adaptive neural fault tolerant control for nonlinear fractional order systems with positive odd rational powers |
| topic | fractional-order systems neural network high-order systems actuator fault |
| url | https://www.mdpi.com/2504-3110/6/11/622 |
| work_keys_str_mv | AT jiaweima adaptiveneuralfaulttolerantcontrolfornonlinearfractionalordersystemswithpositiveoddrationalpowers AT huanqingwang adaptiveneuralfaulttolerantcontrolfornonlinearfractionalordersystemswithpositiveoddrationalpowers AT yakunsu adaptiveneuralfaulttolerantcontrolfornonlinearfractionalordersystemswithpositiveoddrationalpowers AT cungenliu adaptiveneuralfaulttolerantcontrolfornonlinearfractionalordersystemswithpositiveoddrationalpowers AT mingchen adaptiveneuralfaulttolerantcontrolfornonlinearfractionalordersystemswithpositiveoddrationalpowers |