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...

Full description

Bibliographic Details
Main Authors: Yaosong Long, Chao Ou, Chengjun Shan, Zhongtao Cheng
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/9/2090
_version_ 1797602204483321856
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.
first_indexed 2024-03-11T04:13:41Z
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
work_keys_str_mv AT yaosonglong anovelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT chaoou anovelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT chengjunshan anovelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT zhongtaocheng anovelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT yaosonglong novelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT chaoou novelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT chengjunshan novelfixedtimeconvergenceguidancelawagainstmaneuveringtargets
AT zhongtaocheng novelfixedtimeconvergenceguidancelawagainstmaneuveringtargets