Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints
Abstract This paper investigates the tracking control problem for fractional-order (FO) nonlinear systems with model uncertainties and external disturbances under full-state constraints. An adaptive fuzzy control strategy based on a command filter is proposed, where the asymmetric Barrier Lyapunov F...
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Nature Portfolio
2025-02-01
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Online Access: | https://doi.org/10.1038/s41598-025-88784-w |
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author | Ruixia Liu Yang Han Lei Xing Liyang Sun |
author_facet | Ruixia Liu Yang Han Lei Xing Liyang Sun |
author_sort | Ruixia Liu |
collection | DOAJ |
description | Abstract This paper investigates the tracking control problem for fractional-order (FO) nonlinear systems with model uncertainties and external disturbances under full-state constraints. An adaptive fuzzy control strategy based on a command filter is proposed, where the asymmetric Barrier Lyapunov Function is adopted to ensure that the states do not violate their constraints, and a fuzzy logic system is used to approximate the unknown nonlinear terms. Additionally, a FO command filter is implemented to approximate the virtual control signals and their derivatives, effectively addressing the explosion of complexity problem, while an error compensation function is incorporated to compensate for the filtering errors. Overall, the stability analysis is conducted based on the Lyapunov method to ensure the boundedness of all signals. Ultimately, the performance of the proposed controller is demonstrated through two simulation examples. |
format | Article |
id | doaj-art-989d9e2aa3ec41d786150b21a279b452 |
institution | Kabale University |
issn | 2045-2322 |
language | English |
publishDate | 2025-02-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Scientific Reports |
spelling | doaj-art-989d9e2aa3ec41d786150b21a279b4522025-02-09T12:32:19ZengNature PortfolioScientific Reports2045-23222025-02-0115111410.1038/s41598-025-88784-wAdaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraintsRuixia Liu0Yang Han1Lei Xing2Liyang Sun3School of Automation, Xi’an University of Posts and TelecommunicationsSchool of Automation, Xi’an University of Posts and TelecommunicationsResearch Center of Satellite Technology, Harbin Institute of TechnologySchool of Petroleum Engineering, Northeast Petroleum UniversityAbstract This paper investigates the tracking control problem for fractional-order (FO) nonlinear systems with model uncertainties and external disturbances under full-state constraints. An adaptive fuzzy control strategy based on a command filter is proposed, where the asymmetric Barrier Lyapunov Function is adopted to ensure that the states do not violate their constraints, and a fuzzy logic system is used to approximate the unknown nonlinear terms. Additionally, a FO command filter is implemented to approximate the virtual control signals and their derivatives, effectively addressing the explosion of complexity problem, while an error compensation function is incorporated to compensate for the filtering errors. Overall, the stability analysis is conducted based on the Lyapunov method to ensure the boundedness of all signals. Ultimately, the performance of the proposed controller is demonstrated through two simulation examples.https://doi.org/10.1038/s41598-025-88784-wFractional-order systemFuzzy logic systemCommand filterFull state constraints |
spellingShingle | Ruixia Liu Yang Han Lei Xing Liyang Sun Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints Scientific Reports Fractional-order system Fuzzy logic system Command filter Full state constraints |
title | Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
title_full | Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
title_fullStr | Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
title_full_unstemmed | Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
title_short | Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
title_sort | adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints |
topic | Fractional-order system Fuzzy logic system Command filter Full state constraints |
url | https://doi.org/10.1038/s41598-025-88784-w |
work_keys_str_mv | AT ruixialiu adaptivefuzzycommandfilteredcontrolforuncertainfractionalordernonlinearsystemswithfullstateconstraints AT yanghan adaptivefuzzycommandfilteredcontrolforuncertainfractionalordernonlinearsystemswithfullstateconstraints AT leixing adaptivefuzzycommandfilteredcontrolforuncertainfractionalordernonlinearsystemswithfullstateconstraints AT liyangsun adaptivefuzzycommandfilteredcontrolforuncertainfractionalordernonlinearsystemswithfullstateconstraints |