Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems
In this article, we discuss the finite time stability problem for second-order systems with an uncertain nonlinear function. A finite time performance function with the sinusoidal function is constructed, and the constrained problem of the original system is transformed into the stability problem of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7404460 |
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| _version_ | 1849408193777631232 |
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| author | Hui Lv Wei Xiang Jun Zhu |
| author_facet | Hui Lv Wei Xiang Jun Zhu |
| author_sort | Hui Lv |
| collection | DOAJ |
| description | In this article, we discuss the finite time stability problem for second-order systems with an uncertain nonlinear function. A finite time performance function with the sinusoidal function is constructed, and the constrained problem of the original system is transformed into the stability problem of the equivalent system. Combining prescribed performance control and fuzzy logic systems, an effective control method is proposed. The simulation results also prove that the method we adopted is effective. |
| format | Article |
| id | doaj-art-3d6d113f720f406aba9fbd12cec73a62 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3d6d113f720f406aba9fbd12cec73a622025-08-20T03:35:51ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7404460Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear SystemsHui Lv0Wei Xiang1Jun Zhu2Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA)School of Finance and MathematicsKey Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA)In this article, we discuss the finite time stability problem for second-order systems with an uncertain nonlinear function. A finite time performance function with the sinusoidal function is constructed, and the constrained problem of the original system is transformed into the stability problem of the equivalent system. Combining prescribed performance control and fuzzy logic systems, an effective control method is proposed. The simulation results also prove that the method we adopted is effective.http://dx.doi.org/10.1155/2022/7404460 |
| spellingShingle | Hui Lv Wei Xiang Jun Zhu Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems Journal of Mathematics |
| title | Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems |
| title_full | Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems |
| title_fullStr | Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems |
| title_full_unstemmed | Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems |
| title_short | Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems |
| title_sort | finite time prescribed performance control for uncertain second order nonlinear systems |
| url | http://dx.doi.org/10.1155/2022/7404460 |
| work_keys_str_mv | AT huilv finitetimeprescribedperformancecontrolforuncertainsecondordernonlinearsystems AT weixiang finitetimeprescribedperformancecontrolforuncertainsecondordernonlinearsystems AT junzhu finitetimeprescribedperformancecontrolforuncertainsecondordernonlinearsystems |