Fractional-Order MFAC with Application to DC Motor Speed Control System
Model-free adaptive control (MFAC) can carry out various tasks using only I/O data, providing advantages such as lower operational costs, higher scalability and easier implementation. However, the robustness of MFAC remains an open problem. In this paper, a robust fractional-order model-free adaptiv...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-02-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/4/610 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850080758435151872 |
|---|---|
| author | Haizhen Wang Huihua Jian Jianhua Huang Yonghong Lan |
| author_facet | Haizhen Wang Huihua Jian Jianhua Huang Yonghong Lan |
| author_sort | Haizhen Wang |
| collection | DOAJ |
| description | Model-free adaptive control (MFAC) can carry out various tasks using only I/O data, providing advantages such as lower operational costs, higher scalability and easier implementation. However, the robustness of MFAC remains an open problem. In this paper, a robust fractional-order model-free adaptive control (RFOMFAC) scheme is proposed to address the robust tracking control issue for a class of uncertain discrete-time nonlinear systems with bounded measurement disturbance. First, we use a fractional-order dynamic data model relating the relationship between the output signal and the fractional-order input variables based on the compact form dynamic linearization. Then, the pseudo-partial derivative (PPD) is obtained using a higher-order estimation algorithm that includes more information about past input and output data. With the introduction of a reference equation, a fractional-order model-free adaptive control (FOMFAC) law is then proposed. Consequently, using a higher-order PPD-based FOMFAC law can improve the control performance. Furthermore, a modified RFOMFAC algorithm with decreasing gain is constructed. Theoretical analysis indicates that the proposed algorithm can effectively attenuate measurement disturbances. Finally, simulation results demonstrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-0abf0d63f37840ceb2da50db72a06c9c |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-0abf0d63f37840ceb2da50db72a06c9c2025-08-20T02:44:53ZengMDPI AGMathematics2227-73902025-02-0113461010.3390/math13040610Fractional-Order MFAC with Application to DC Motor Speed Control SystemHaizhen Wang0Huihua Jian1Jianhua Huang2Yonghong Lan3School of Mechanical and Electrical Engineering, Xinyu University, Xinyu 338004, ChinaSchool of Mechanical and Electrical Engineering, Xinyu University, Xinyu 338004, ChinaJiangxi Provincial Key Laboratory of Power Batteries and Energy Storage Materials, Xinyu University, Xinyu 338004, ChinaSchool of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, ChinaModel-free adaptive control (MFAC) can carry out various tasks using only I/O data, providing advantages such as lower operational costs, higher scalability and easier implementation. However, the robustness of MFAC remains an open problem. In this paper, a robust fractional-order model-free adaptive control (RFOMFAC) scheme is proposed to address the robust tracking control issue for a class of uncertain discrete-time nonlinear systems with bounded measurement disturbance. First, we use a fractional-order dynamic data model relating the relationship between the output signal and the fractional-order input variables based on the compact form dynamic linearization. Then, the pseudo-partial derivative (PPD) is obtained using a higher-order estimation algorithm that includes more information about past input and output data. With the introduction of a reference equation, a fractional-order model-free adaptive control (FOMFAC) law is then proposed. Consequently, using a higher-order PPD-based FOMFAC law can improve the control performance. Furthermore, a modified RFOMFAC algorithm with decreasing gain is constructed. Theoretical analysis indicates that the proposed algorithm can effectively attenuate measurement disturbances. Finally, simulation results demonstrate the effectiveness of the proposed method.https://www.mdpi.com/2227-7390/13/4/610model-free adaptive controlfractional orderrobustdiscrete-time system |
| spellingShingle | Haizhen Wang Huihua Jian Jianhua Huang Yonghong Lan Fractional-Order MFAC with Application to DC Motor Speed Control System Mathematics model-free adaptive control fractional order robust discrete-time system |
| title | Fractional-Order MFAC with Application to DC Motor Speed Control System |
| title_full | Fractional-Order MFAC with Application to DC Motor Speed Control System |
| title_fullStr | Fractional-Order MFAC with Application to DC Motor Speed Control System |
| title_full_unstemmed | Fractional-Order MFAC with Application to DC Motor Speed Control System |
| title_short | Fractional-Order MFAC with Application to DC Motor Speed Control System |
| title_sort | fractional order mfac with application to dc motor speed control system |
| topic | model-free adaptive control fractional order robust discrete-time system |
| url | https://www.mdpi.com/2227-7390/13/4/610 |
| work_keys_str_mv | AT haizhenwang fractionalordermfacwithapplicationtodcmotorspeedcontrolsystem AT huihuajian fractionalordermfacwithapplicationtodcmotorspeedcontrolsystem AT jianhuahuang fractionalordermfacwithapplicationtodcmotorspeedcontrolsystem AT yonghonglan fractionalordermfacwithapplicationtodcmotorspeedcontrolsystem |