Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance

Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation...
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Autor*in:	Lei Feng [verfasserIn] Wang Lu [verfasserIn] Fenglin Wang [verfasserIn] Fan Zhang [verfasserIn] Qiangui Sun [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 15(2023), 7, p 1337
Übergeordnetes Werk:	volume:15 ; year:2023 ; number:7, p 1337

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym15071337

Katalog-ID:	DOAJ093818564

Internformat


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520			\|a Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33.
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allfields	10.3390/sym15071337 doi (DE-627)DOAJ093818564 (DE-599)DOAJc4c076c30f934d0ca01fd0d50215a40a DE-627 ger DE-627 rakwb eng QA1-939 Lei Feng verfasserin aut Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33. high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics Wang Lu verfasserin aut Fenglin Wang verfasserin aut Fan Zhang verfasserin aut Qiangui Sun verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 7, p 1337 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:7, p 1337 https://doi.org/10.3390/sym15071337 kostenfrei https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a kostenfrei https://www.mdpi.com/2073-8994/15/7/1337 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 7, p 1337
spelling	10.3390/sym15071337 doi (DE-627)DOAJ093818564 (DE-599)DOAJc4c076c30f934d0ca01fd0d50215a40a DE-627 ger DE-627 rakwb eng QA1-939 Lei Feng verfasserin aut Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33. high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics Wang Lu verfasserin aut Fenglin Wang verfasserin aut Fan Zhang verfasserin aut Qiangui Sun verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 7, p 1337 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:7, p 1337 https://doi.org/10.3390/sym15071337 kostenfrei https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a kostenfrei https://www.mdpi.com/2073-8994/15/7/1337 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 7, p 1337
allfields_unstemmed	10.3390/sym15071337 doi (DE-627)DOAJ093818564 (DE-599)DOAJc4c076c30f934d0ca01fd0d50215a40a DE-627 ger DE-627 rakwb eng QA1-939 Lei Feng verfasserin aut Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33. high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics Wang Lu verfasserin aut Fenglin Wang verfasserin aut Fan Zhang verfasserin aut Qiangui Sun verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 7, p 1337 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:7, p 1337 https://doi.org/10.3390/sym15071337 kostenfrei https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a kostenfrei https://www.mdpi.com/2073-8994/15/7/1337 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 7, p 1337
allfieldsGer	10.3390/sym15071337 doi (DE-627)DOAJ093818564 (DE-599)DOAJc4c076c30f934d0ca01fd0d50215a40a DE-627 ger DE-627 rakwb eng QA1-939 Lei Feng verfasserin aut Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33. high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics Wang Lu verfasserin aut Fenglin Wang verfasserin aut Fan Zhang verfasserin aut Qiangui Sun verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 7, p 1337 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:7, p 1337 https://doi.org/10.3390/sym15071337 kostenfrei https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a kostenfrei https://www.mdpi.com/2073-8994/15/7/1337 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 7, p 1337
allfieldsSound	10.3390/sym15071337 doi (DE-627)DOAJ093818564 (DE-599)DOAJc4c076c30f934d0ca01fd0d50215a40a DE-627 ger DE-627 rakwb eng QA1-939 Lei Feng verfasserin aut Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33. high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics Wang Lu verfasserin aut Fenglin Wang verfasserin aut Fan Zhang verfasserin aut Qiangui Sun verfasserin aut In Symmetry MDPI AG, 2009 15(2023), 7, p 1337 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:15 year:2023 number:7, p 1337 https://doi.org/10.3390/sym15071337 kostenfrei https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a kostenfrei https://www.mdpi.com/2073-8994/15/7/1337 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 15 2023 7, p 1337
language	English
source	In Symmetry 15(2023), 7, p 1337 volume:15 year:2023 number:7, p 1337
sourceStr	In Symmetry 15(2023), 7, p 1337 volume:15 year:2023 number:7, p 1337
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle Mathematics
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container_title	Symmetry
authorswithroles_txt_mv	Lei Feng @@aut@@ Wang Lu @@aut@@ Fenglin Wang @@aut@@ Fan Zhang @@aut@@ Qiangui Sun @@aut@@
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callnumber-first	Q - Science
author	Lei Feng
spellingShingle	Lei Feng misc QA1-939 misc high-speed vehicles misc modified proportional navigation guidance misc optimal penetration guidance law misc Hamilton principle misc Mathematics Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance
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topic_title	QA1-939 Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance high-speed vehicles modified proportional navigation guidance optimal penetration guidance law Hamilton principle
topic	misc QA1-939 misc high-speed vehicles misc modified proportional navigation guidance misc optimal penetration guidance law misc Hamilton principle misc Mathematics
topic_unstemmed	misc QA1-939 misc high-speed vehicles misc modified proportional navigation guidance misc optimal penetration guidance law misc Hamilton principle misc Mathematics
topic_browse	misc QA1-939 misc high-speed vehicles misc modified proportional navigation guidance misc optimal penetration guidance law misc Hamilton principle misc Mathematics
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title	Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance
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title_full	Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance
author_sort	Lei Feng
journal	Symmetry
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title_sort	optimal penetration guidance law for high-speed vehicles against an interceptor with modified proportional navigation guidance
callnumber	QA1-939
title_auth	Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance
abstract	Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33.
abstractGer	Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33.
abstract_unstemmed	Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, a three-dimensional mathematical model of attack–defense confrontation between the high-speed vehicle and the interceptor is established in this paper. The modified proportional navigation guidance law of the interceptor is included in the model, and control constraints, pitch angle velocity constraints, and dynamic delay are introduced. Then, the performance index of the optimal penetration of high-speed vehicles is established. Under the condition of considering the 180-degree BTT control, the analytical solutions of the optimal speed roll angle and the optimal overload of high-speed vehicles are obtained according to symmetric Hamilton principle. The simulation results show that the overload switching times of high-speed vehicles to achieve optimal penetration are <i<N</i< − 1, where <i<N</i< is the modified proportional guidance coefficient of the interceptor. When the maximum speed roll angle velocity is [60, 90] degrees per second, the penetration effect of high-speed vehicles is good. Finally, the optimal penetration guidance law proposed in this paper can achieve a miss distance of more than 5 m when the overload capacity ratio is 0.33.
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container_issue	7, p 1337
title_short	Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance
url	https://doi.org/10.3390/sym15071337 https://doaj.org/article/c4c076c30f934d0ca01fd0d50215a40a https://www.mdpi.com/2073-8994/15/7/1337 https://doaj.org/toc/2073-8994
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