Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances
This article concerns the issue of adaptive fuzzy command-filtered fixed-time control in the context of a category of nonlinear systems characterized by mismatched disturbances and unknown nonlinear functions. The backstepping-based disturbance observers are created to alleviate the effects of misma...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/23/3816 |
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| _version_ | 1846124080987635712 |
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| author | Zhiqiang Wu Jian Zhang Lei Xing Liyang Sun |
| author_facet | Zhiqiang Wu Jian Zhang Lei Xing Liyang Sun |
| author_sort | Zhiqiang Wu |
| collection | DOAJ |
| description | This article concerns the issue of adaptive fuzzy command-filtered fixed-time control in the context of a category of nonlinear systems characterized by mismatched disturbances and unknown nonlinear functions. The backstepping-based disturbance observers are created to alleviate the effects of mismatched disturbances and Fuzzy logic systems are brought into play to model those terms that are unknown. To address the complexity explosion issue in traditional backstepping control, this paper utilizes fixed-time command filters (FTCFs) to design a novel control approach. Moreover, filtering error compensation mechanisms are developed to eliminate the errors introduced by the FTCFs. This paper derives a novel adaptive fixed-time control protocol that successfully conquers the difficulties posed by unknown nonlinear functions and mismatched disturbances. The protocol, implemented within a backstepping framework, guarantees the boundedness of all signals and tracking errors within fixed time. The efficacy of the derived control protocol is illustrated through simulation examples. |
| format | Article |
| id | doaj-art-a5e1d288d725464c8a9a547f0ac60d2a |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-a5e1d288d725464c8a9a547f0ac60d2a2024-12-13T16:27:51ZengMDPI AGMathematics2227-73902024-12-011223381610.3390/math12233816Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched DisturbancesZhiqiang Wu0Jian Zhang1Lei Xing2Liyang Sun3The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, ChinaShanghai Institute of Satellite Engineering, Shanghai 201109, ChinaResearch Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Petroleum Engineering, Northeast Petroleum University, Daqing 163319, ChinaThis article concerns the issue of adaptive fuzzy command-filtered fixed-time control in the context of a category of nonlinear systems characterized by mismatched disturbances and unknown nonlinear functions. The backstepping-based disturbance observers are created to alleviate the effects of mismatched disturbances and Fuzzy logic systems are brought into play to model those terms that are unknown. To address the complexity explosion issue in traditional backstepping control, this paper utilizes fixed-time command filters (FTCFs) to design a novel control approach. Moreover, filtering error compensation mechanisms are developed to eliminate the errors introduced by the FTCFs. This paper derives a novel adaptive fixed-time control protocol that successfully conquers the difficulties posed by unknown nonlinear functions and mismatched disturbances. The protocol, implemented within a backstepping framework, guarantees the boundedness of all signals and tracking errors within fixed time. The efficacy of the derived control protocol is illustrated through simulation examples.https://www.mdpi.com/2227-7390/12/23/3816tracking controladaptive controlcommand filtersfixed-time control |
| spellingShingle | Zhiqiang Wu Jian Zhang Lei Xing Liyang Sun Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances Mathematics tracking control adaptive control command filters fixed-time control |
| title | Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances |
| title_full | Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances |
| title_fullStr | Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances |
| title_full_unstemmed | Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances |
| title_short | Fixed-Time Command-Filtered Control for Nonlinear Systems with Mismatched Disturbances |
| title_sort | fixed time command filtered control for nonlinear systems with mismatched disturbances |
| topic | tracking control adaptive control command filters fixed-time control |
| url | https://www.mdpi.com/2227-7390/12/23/3816 |
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