A hybrid proportional navigation based two-stage impact time control guidance law

doi:10.23919/JSEE.2022.000046

Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (2): 461-473.doi: 10.23919/JSEE.2022.000046

收稿日期:2020-10-26 出版日期:2022-05-06 发布日期:2022-05-06

A hybrid proportional navigation based two-stage impact time control guidance law

Jia HUANG¹(), Sijiang CHANG^1,*(), Shengfu CHEN²()

¹ School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
² The 20th Research Institute of China Electronics Technology Group Corporation, Xi’an 710068, China

Received:2020-10-26 Online:2022-05-06 Published:2022-05-06
Contact: Sijiang CHANG E-mail:1497067602@qq.com;ballistics@126.com;864166306@qq.com
About author:|HUANG Jia was born in 1997. He received his bachelor’s degree in aerospace engineering. He is currently studying for his master’s degree in the School of Energy and Power Engineering at Nanjing University of Science and Technology. His current research interests mainly focus on missile flight dynamics and guidance and control. E-mail: 1497067602@qq.com||CHANG Sijiang was born in 1983. He graduated from Nanjing University of Science and Technology in 2011. He is an associate professor at Nanjing University of Science and Technology. His research interests include guidance, control, and dynamics, exterior ballistics, and flight vehicle aerodynamics. E-mail: ballistics@126.com||CHEN Shengfu was born in 1993. He received his master’s degree from Nanjing University of Science and Technology in 2019. He is currently an engineer at the 20th Research Institute of China Electronics Technology Group Corporation. His research interests are missile flight dynamics and guidance and control. E-mail: 864166306@qq.com
Supported by:
This work was supported by the Fundamental Research Fund for the Central Universities (30919011401)

摘要/Abstract

Abstract:

To improve applicability and adaptability of the impact time control guidance (ITCG) in practical engineering, a two-stage ITCG law with simple but effective structure is proposed based on the hybrid proportional navigation, namely, the pure-proportional-navigation and the retro-proportional-navigation. For the case with the impact time error less than zero, the first stage of the guided trajectory is driven by the retro-proportional-navigation and the second one is driven by the pure-proportional-navigation. When the impact time error is greater than zero, both of the stages are generated by the pure-proportional-navigation but using different navigation gains. It is demonstrated by two- and three-dimensional numerical simulations that the proposed guidance law at least has comparable results to existing proportional-navigation-based ITCG laws and is shown to be advantageous in certain circumstances in that the proposed guidance law alleviates its dependence on the time-to-go estimation, consumes less control energy, and adapts itself to more boundary conditions and constraints. The results of this research are expected to be supplementary to the current research literature.

Key words: missile guidance law, impact time control, pure-proportional-navigation, retro-proportional-navigation, time-to-go estimation

. [J]. Journal of Systems Engineering and Electronics, 2022, 33(2): 461-473.

Jia HUANG, Sijiang CHANG, Shengfu CHEN. A hybrid proportional navigation based two-stage impact time control guidance law[J]. Journal of Systems Engineering and Electronics, 2022, 33(2): 461-473.

图/表 13

参考文献 37

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ITCG law	Time-to-go estimation formula	Desired impact time $ {t_d} $ /s	Extreme acceleration $ {a_M} $ /(m $ \cdot $ s^?2)	Extreme heading error $ \phi $ /(°)	Total control energy consumption $\int_0^{{t_f}} {\left( {{{a_M^2} \mathord{\left/ {\vphantom {{a_M^2} 2}} \right. } 2}} \right){\text{d}}t} $ /(m² $ \cdot $ s^?3)	Final impact time error $ \xi $ /s
[7]	(8)	50	39.7	69.6	5.5 $ \times $ 10³	?2.0 $ \times $ 10^?4
[7]	(49)	50	40.3	72.5	6.0 $ \times $ 10³	3.1 $ \times $ 10^?3
Proposed	(8)	50	?22.0	69.8	4.1 $ \times $ 10³	?2.0 $ \times $ 10^?4
Proposed	(49)	50	?27.7	72.7	4.6 $ \times $ 10³	6.1 $ \times $ 10^?4
[2]	(8)	50	22.8	51.9	3.3 $ \times $ 10³	?2.0 $ \times $ 10^?4
[2]	(49)	50	?16.5	52.3	3.3 $ \times $ 10³	?8.5 $ \times $ 10^?4
[7]	(8)	70	98.1	112.9	1.9 $ \times $ 10⁴	?2.0 $ \times $ 10^?4
[7]	(49)	70	98.1	127.7	2.4 $ \times $ 10⁴	6.7 $ \times $ 10^?1
Proposed	(8)	70	?23.0	109.6	7.7 $ \times $ 10³	?2.0 $ \times $ 10^?4
Proposed	(49)	70	?37.9	118.6	9.3 $ \times $ 10³	5.5 $ \times $ 10^?4
[2]	(8)	70	27.3	93.8	6.7 $ \times $ 10³	?2.0 $ \times $ 10^?4
[2]	(49)	70	N/A^a	N/A	N/A	N/A

A hybrid proportional navigation based two-stage impact time control guidance law

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