Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems
Since existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is firs...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9933472 |
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| _version_ | 1832548926642716672 |
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| author | Wei Hu Zhangyong Zhou Junjun Tang |
| author_facet | Wei Hu Zhangyong Zhou Junjun Tang |
| author_sort | Wei Hu |
| collection | DOAJ |
| description | Since existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed-time convergence problem into the finite-time convergence problem of a transformed time-varying system. By extending the existing, adding a power integrator technique into the considered time-varying system, a periodic controller is constructed to stabilize the original system in fixed time. The results of simulations verify the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-eab05babfbbc4bb49d797d81f315768e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-eab05babfbbc4bb49d797d81f315768e2025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99334729933472Nonsingular Global Fixed-Time Stabilization for Nonlinear SystemsWei Hu0Zhangyong Zhou1Junjun Tang2Stated-Owned Wuhu Machinery Factory, Wuhu 241007, ChinaStated-Owned Wuhu Machinery Factory, Wuhu 241007, ChinaStated-Owned Wuhu Machinery Factory, Wuhu 241007, ChinaSince existing results about fixed-time stabilization are only applied to strict feedback systems, this paper investigates the nonsingular fixed-time stabilization of more general high-order nonlinear systems. Based on a novel concept named coordinate mapping of time domain, a control method is first proposed to transform the nonsingular fixed-time convergence problem into the finite-time convergence problem of a transformed time-varying system. By extending the existing, adding a power integrator technique into the considered time-varying system, a periodic controller is constructed to stabilize the original system in fixed time. The results of simulations verify the effectiveness of the proposed method.http://dx.doi.org/10.1155/2021/9933472 |
| spellingShingle | Wei Hu Zhangyong Zhou Junjun Tang Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems Complexity |
| title | Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems |
| title_full | Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems |
| title_fullStr | Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems |
| title_full_unstemmed | Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems |
| title_short | Nonsingular Global Fixed-Time Stabilization for Nonlinear Systems |
| title_sort | nonsingular global fixed time stabilization for nonlinear systems |
| url | http://dx.doi.org/10.1155/2021/9933472 |
| work_keys_str_mv | AT weihu nonsingularglobalfixedtimestabilizationfornonlinearsystems AT zhangyongzhou nonsingularglobalfixedtimestabilizationfornonlinearsystems AT junjuntang nonsingularglobalfixedtimestabilizationfornonlinearsystems |