Fixed-Time Convergent Guidance Law with Impact Angle Control
The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory....
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| Main Authors: | , , , , |
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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/10.1155/2020/5019689 |
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| _version_ | 1832551001203146752 |
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| author | Zhongtao Cheng Hao Wu Bo Wang Lei Liu Yongji Wang |
| author_facet | Zhongtao Cheng Hao Wu Bo Wang Lei Liu Yongji Wang |
| author_sort | Zhongtao Cheng |
| collection | DOAJ |
| description | The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and the other is the bias term to achieve the desired impact angle. The guidance command is continuous during the engagement without utilizing the switching logics. Unlike the existing guidance law in the literature, the fixed-time stability theory is utilized to ensure the impact angle error to converge to zero before the interception. Furthermore, the convergence rate is merely related to control parameters. Simulations are carried out to illustrate the effectiveness of the proposed guidance law. |
| format | Article |
| id | doaj-art-b7c152515f0547a4974b85acce011f73 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b7c152515f0547a4974b85acce011f732025-02-03T06:05:16ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/50196895019689Fixed-Time Convergent Guidance Law with Impact Angle ControlZhongtao Cheng0Hao Wu1Bo Wang2Lei Liu3Yongji Wang4National Key Laboratory of Science and Technology on Multispectral Information Processing, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, ChinaBeijing Aerospace Automatic Control Institute, Beijing, ChinaNational Key Laboratory of Science and Technology on Multispectral Information Processing, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, ChinaNational Key Laboratory of Science and Technology on Multispectral Information Processing, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, ChinaNational Key Laboratory of Science and Technology on Multispectral Information Processing, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, ChinaThe existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and the other is the bias term to achieve the desired impact angle. The guidance command is continuous during the engagement without utilizing the switching logics. Unlike the existing guidance law in the literature, the fixed-time stability theory is utilized to ensure the impact angle error to converge to zero before the interception. Furthermore, the convergence rate is merely related to control parameters. Simulations are carried out to illustrate the effectiveness of the proposed guidance law.http://dx.doi.org/10.1155/2020/5019689 |
| spellingShingle | Zhongtao Cheng Hao Wu Bo Wang Lei Liu Yongji Wang Fixed-Time Convergent Guidance Law with Impact Angle Control Complexity |
| title | Fixed-Time Convergent Guidance Law with Impact Angle Control |
| title_full | Fixed-Time Convergent Guidance Law with Impact Angle Control |
| title_fullStr | Fixed-Time Convergent Guidance Law with Impact Angle Control |
| title_full_unstemmed | Fixed-Time Convergent Guidance Law with Impact Angle Control |
| title_short | Fixed-Time Convergent Guidance Law with Impact Angle Control |
| title_sort | fixed time convergent guidance law with impact angle control |
| url | http://dx.doi.org/10.1155/2020/5019689 |
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