Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control
In this paper, a 4D fractional-order centrifugal flywheel governor system is proposed. Dynamics including the multistability of the system with the variation of system parameters and the derivative order are investigated by Lyapunov exponents (LEs), bifurcation diagram, phase portrait, entropy measu...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8844657 |
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| _version_ | 1832568519454097408 |
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| author | Bo Yan Shaobo He Shaojie Wang |
| author_facet | Bo Yan Shaobo He Shaojie Wang |
| author_sort | Bo Yan |
| collection | DOAJ |
| description | In this paper, a 4D fractional-order centrifugal flywheel governor system is proposed. Dynamics including the multistability of the system with the variation of system parameters and the derivative order are investigated by Lyapunov exponents (LEs), bifurcation diagram, phase portrait, entropy measure, and basins of attraction, numerically. It shows that the minimum order for chaos of the fractional-order centrifugal flywheel governor system is q = 0.97, and the system has rich dynamics and produces multiple coexisting attractors. Moreover, the system is controlled by introducing the adaptive controller which is proved by the Lyapunov stability theory. Numerical analysis results verify the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-b3027560db824bc8afa4c5a661921fa5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b3027560db824bc8afa4c5a661921fa52025-02-03T00:58:51ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88446578844657Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive ControlBo Yan0Shaobo He1Shaojie Wang2College of Electrical and Information Engineering, Shaoyang University, Shaoyang 422000, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaCollege of Electrical and Information Engineering, Shaoyang University, Shaoyang 422000, ChinaIn this paper, a 4D fractional-order centrifugal flywheel governor system is proposed. Dynamics including the multistability of the system with the variation of system parameters and the derivative order are investigated by Lyapunov exponents (LEs), bifurcation diagram, phase portrait, entropy measure, and basins of attraction, numerically. It shows that the minimum order for chaos of the fractional-order centrifugal flywheel governor system is q = 0.97, and the system has rich dynamics and produces multiple coexisting attractors. Moreover, the system is controlled by introducing the adaptive controller which is proved by the Lyapunov stability theory. Numerical analysis results verify the effectiveness of the proposed method.http://dx.doi.org/10.1155/2020/8844657 |
| spellingShingle | Bo Yan Shaobo He Shaojie Wang Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control Complexity |
| title | Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control |
| title_full | Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control |
| title_fullStr | Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control |
| title_full_unstemmed | Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control |
| title_short | Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control |
| title_sort | multistability in a fractional order centrifugal flywheel governor system and its adaptive control |
| url | http://dx.doi.org/10.1155/2020/8844657 |
| work_keys_str_mv | AT boyan multistabilityinafractionalordercentrifugalflywheelgovernorsystemanditsadaptivecontrol AT shaobohe multistabilityinafractionalordercentrifugalflywheelgovernorsystemanditsadaptivecontrol AT shaojiewang multistabilityinafractionalordercentrifugalflywheelgovernorsystemanditsadaptivecontrol |