A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets
In this paper, a new fixed-time convergence guidance law is proposed against maneuvering targets in the three-dimensional (3-D) engagement scenario. The fixed-time stability theory is used to zero the line-of-sight (LOS) angle rate, which will ensure the collision course and the impact of the target...
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MDPI AG
2023-04-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/11/9/2090 |
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author | Yaosong Long Chao Ou Chengjun Shan Zhongtao Cheng |
author_facet | Yaosong Long Chao Ou Chengjun Shan Zhongtao Cheng |
author_sort | Yaosong Long |
collection | DOAJ |
description | In this paper, a new fixed-time convergence guidance law is proposed against maneuvering targets in the three-dimensional (3-D) engagement scenario. The fixed-time stability theory is used to zero the line-of-sight (LOS) angle rate, which will ensure the collision course and the impact of the target. It is proven that the convergence of the LOS angle rate can be achieved before the final impact time of the guidance process, regardless of the initial conditions. Furthermore, the convergence rate is merely related to control parameters. In theoretical analysis, the convergence rate and upper bound are compared with that of other laws to show the potential advantages of the proposed guidance law. Finally, simulations are carried out to illustrate the effectiveness and robustness of the proposed guidance law. |
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format | Article |
id | doaj.art-edeb89d1711b46ca8114b9a37564e104 |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-11T04:13:41Z |
publishDate | 2023-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-edeb89d1711b46ca8114b9a37564e1042023-11-17T23:19:52ZengMDPI AGMathematics2227-73902023-04-01119209010.3390/math11092090A Novel Fixed-Time Convergence Guidance Law against Maneuvering TargetsYaosong Long0Chao Ou1Chengjun Shan2Zhongtao Cheng3School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaIn this paper, a new fixed-time convergence guidance law is proposed against maneuvering targets in the three-dimensional (3-D) engagement scenario. The fixed-time stability theory is used to zero the line-of-sight (LOS) angle rate, which will ensure the collision course and the impact of the target. It is proven that the convergence of the LOS angle rate can be achieved before the final impact time of the guidance process, regardless of the initial conditions. Furthermore, the convergence rate is merely related to control parameters. In theoretical analysis, the convergence rate and upper bound are compared with that of other laws to show the potential advantages of the proposed guidance law. Finally, simulations are carried out to illustrate the effectiveness and robustness of the proposed guidance law.https://www.mdpi.com/2227-7390/11/9/2090three-dimensional engagementmaneuvering targetLOS angle ratecollision coursefixed-time convergence |
spellingShingle | Yaosong Long Chao Ou Chengjun Shan Zhongtao Cheng A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets Mathematics three-dimensional engagement maneuvering target LOS angle rate collision course fixed-time convergence |
title | A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets |
title_full | A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets |
title_fullStr | A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets |
title_full_unstemmed | A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets |
title_short | A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets |
title_sort | novel fixed time convergence guidance law against maneuvering targets |
topic | three-dimensional engagement maneuvering target LOS angle rate collision course fixed-time convergence |
url | https://www.mdpi.com/2227-7390/11/9/2090 |
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