Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems
In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapun...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6235190 |
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| _version_ | 1832546523168112640 |
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| author | Jianhua Zhang Quanmin Zhu Yang Li |
| author_facet | Jianhua Zhang Quanmin Zhu Yang Li |
| author_sort | Jianhua Zhang |
| collection | DOAJ |
| description | In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function. Therefore, precise convergence time is presented instead of estimation of the upper bound of the algorithm’s reaching time. Regardless of affine or nonaffine nonlinear systems, supertwisting control (STC) provides a general solution based on virtual control law skill ensuring the output of the systems converges to the origin point at exact time. Benchmark tests are simulated to demonstrate the effectiveness and efficiency of the algorithm. |
| format | Article |
| id | doaj-art-4061d762162c43afb257bb79a0269eba |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4061d762162c43afb257bb79a0269eba2025-02-03T06:48:38ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/62351906235190Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear SystemsJianhua Zhang0Quanmin Zhu1Yang Li2Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaDepartment of Engineering Design and Mathematics, University of the West of England, Coldharbour Lane, Bristol BS16 1QY, UKHebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaIn this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function. Therefore, precise convergence time is presented instead of estimation of the upper bound of the algorithm’s reaching time. Regardless of affine or nonaffine nonlinear systems, supertwisting control (STC) provides a general solution based on virtual control law skill ensuring the output of the systems converges to the origin point at exact time. Benchmark tests are simulated to demonstrate the effectiveness and efficiency of the algorithm.http://dx.doi.org/10.1155/2019/6235190 |
| spellingShingle | Jianhua Zhang Quanmin Zhu Yang Li Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems Complexity |
| title | Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems |
| title_full | Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems |
| title_fullStr | Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems |
| title_full_unstemmed | Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems |
| title_short | Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems |
| title_sort | convergence time calculation for supertwisting algorithm and application for nonaffine nonlinear systems |
| url | http://dx.doi.org/10.1155/2019/6235190 |
| work_keys_str_mv | AT jianhuazhang convergencetimecalculationforsupertwistingalgorithmandapplicationfornonaffinenonlinearsystems AT quanminzhu convergencetimecalculationforsupertwistingalgorithmandapplicationfornonaffinenonlinearsystems AT yangli convergencetimecalculationforsupertwistingalgorithmandapplicationfornonaffinenonlinearsystems |