Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System
To address the problems of a low tracking accuracy and slow error convergence in high-order single-input, single-output electro-optical tracking systems, a backstepping control method based on a Softsign linear–nonlinear tracking differentiator is proposed. First, a linear–nonlinear tracking differe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/11/2/156 |
| _version_ | 1797297210789986304 |
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| author | Jiachen Li Shanlin Zhuang Haolin Wang Jiuqiang Deng Yao Mao |
| author_facet | Jiachen Li Shanlin Zhuang Haolin Wang Jiuqiang Deng Yao Mao |
| author_sort | Jiachen Li |
| collection | DOAJ |
| description | To address the problems of a low tracking accuracy and slow error convergence in high-order single-input, single-output electro-optical tracking systems, a backstepping control method based on a Softsign linear–nonlinear tracking differentiator is proposed. First, a linear–nonlinear tracking differentiator is designed in conjunction with the Softsign excitation function, using its output as an approximate replacement for the conventional differentiation process. Then, this is combined with backstepping control to eliminate the “explosion of complexity” problem in conventional backstepping procedures due to repeated derivation of virtual control quantities. This reduces the workload of parameter tuning, takes into account the rapidity and stability of signal convergence, and improves the trajectory tracking performance. This method can ensure the boundedness of the system signal. The effectiveness and superiority of this control method are verified through simulations and experiments. |
| first_indexed | 2024-03-07T22:17:05Z |
| format | Article |
| id | doaj.art-837a228d7f274f8588ffcadd4eb47988 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-07T22:17:05Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-837a228d7f274f8588ffcadd4eb479882024-02-23T15:31:41ZengMDPI AGPhotonics2304-67322024-02-0111215610.3390/photonics11020156Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking SystemJiachen Li0Shanlin Zhuang1Haolin Wang2Jiuqiang Deng3Yao Mao4National Key Laboratory of Optical Field Manipulation Science and Technology, Chinese Academy of Sciences, Chengdu 610209, ChinaNational Key Laboratory of Optical Field Manipulation Science and Technology, Chinese Academy of Sciences, Chengdu 610209, ChinaNational Key Laboratory of Optical Field Manipulation Science and Technology, Chinese Academy of Sciences, Chengdu 610209, ChinaNational Key Laboratory of Optical Field Manipulation Science and Technology, Chinese Academy of Sciences, Chengdu 610209, ChinaNational Key Laboratory of Optical Field Manipulation Science and Technology, Chinese Academy of Sciences, Chengdu 610209, ChinaTo address the problems of a low tracking accuracy and slow error convergence in high-order single-input, single-output electro-optical tracking systems, a backstepping control method based on a Softsign linear–nonlinear tracking differentiator is proposed. First, a linear–nonlinear tracking differentiator is designed in conjunction with the Softsign excitation function, using its output as an approximate replacement for the conventional differentiation process. Then, this is combined with backstepping control to eliminate the “explosion of complexity” problem in conventional backstepping procedures due to repeated derivation of virtual control quantities. This reduces the workload of parameter tuning, takes into account the rapidity and stability of signal convergence, and improves the trajectory tracking performance. This method can ensure the boundedness of the system signal. The effectiveness and superiority of this control method are verified through simulations and experiments.https://www.mdpi.com/2304-6732/11/2/156backstepping controltracking differentiatorelectro-optical tracking systemSoftsign functionlinear–nonlinear systems |
| spellingShingle | Jiachen Li Shanlin Zhuang Haolin Wang Jiuqiang Deng Yao Mao Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System Photonics backstepping control tracking differentiator electro-optical tracking system Softsign function linear–nonlinear systems |
| title | Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System |
| title_full | Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System |
| title_fullStr | Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System |
| title_full_unstemmed | Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System |
| title_short | Design of Backstepping Control Based on a Softsign Linear–Nonlinear Tracking Differentiator for an Electro-Optical Tracking System |
| title_sort | design of backstepping control based on a softsign linear nonlinear tracking differentiator for an electro optical tracking system |
| topic | backstepping control tracking differentiator electro-optical tracking system Softsign function linear–nonlinear systems |
| url | https://www.mdpi.com/2304-6732/11/2/156 |
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