Multiconstraint adaptive three-dimensional guidance law using convex optimization

doi:10.23919/JSEE.2020.000054

Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (4): 791-803.doi: 10.23919/JSEE.2020.000054

• Control Theory and Application • Previous Articles Next Articles

Multiconstraint adaptive three-dimensional guidance law using convex optimization

Shengnan FU¹(), Xiaodong LIU²(), Wenjie ZHANG³(), Qunli XIA^3,*()

¹ School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
² Beijing Aerospace Automatic Control Institute, Beijing 100854, China
³ School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2019-08-01 Online:2020-08-25 Published:2020-08-25
Contact: Qunli XIA E-mail:3120160497@bit.edu.cn.com;k.start@163.com;zhangwenjie@outlook.com;1010@bit.edu.cn
About author:FU Shengnan was born in 1993. She received her B.E. degree from Beijing Institute of Technology in 2014. She is currently a doctoral student in the School of Mechatronical Engineering, Beijing Institute of Technology. Her main research interests include flight vehicle design, guidance and control. E-mail: 3120160497@bit.edu.cn.com|LIU Xiaodong was born in 1987. He received his Ph.D. degree from School of Automation Science and Electrical Engineering, Beihang University in 2013. Now he is a senior engineer with Beijing Aerospace Automatic Control Institute. His main research interests include flight vehicle design, guidance and control. E-mail: k.start@163.com|ZHANG Wenjie was born in 1992. He received his B.E. degree from Beijing Institute of Technology in 2015. He is currently a doctoral student at the School of Aerospace Engineering, Beijing Institute of Technology. His main research interests include flight vehicle design, guidance and control. E-mail: bit zhangwenjie@outlook.com|XIA Qunli was born in 1971. He received his Ph.D. degree from the School of Aerospace Engineering, Beijing Institute of Technology. Now he is a professor with Beijing Institute of Technology. His research interests are control and guidance technology. E-mail: 1010@bit.edu.cn
Supported by:
the National Natural Science Foundation of China(61803357);This work was supported by the National Natural Science Foundation of China (61803357)

Abstract

Abstract:

The traditional guidance law only guarantees the accuracy of attacking a target. However, the look angle and acceleration constraints are indispensable in applications. A new adaptive three-dimensional proportional navigation (PN) guidance law is proposed based on convex optimization. Decomposition of the three-dimensional space is carried out to establish three-dimensional kinematic engagements. The constraints and the performance index are disposed by using the convex optimization method. PN guidance gains can be obtained by solving the optimization problem. This solution is more rapid and programmatic than the traditional method and provides a foundation for future online guidance methods, which is of great value for engineering applications.

Key words: proportional navigation (PN), adaptive guidance law, three-dimensional space, second-order cone programming (SOCP), convex optimal control

Shengnan FU, Xiaodong LIU, Wenjie ZHANG, Qunli XIA. Multiconstraint adaptive three-dimensional guidance law using convex optimization[J]. Journal of Systems Engineering and Electronics, 2020, 31(4): 791-803.

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References 32

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Parameter	Initial value/($^\circ$)	Terminal value/($^\circ$)
LOS angle in $MVT$	0	-60, -90, -120
LOS angle in $MLT$	0	0
Flight path angle in $MVT$	15	-60, -90, -120
Flight path angle in $MLT$	0	0
Look angle in $MVT$	15	0
Look angle in $MLT$	0	0

Parameter	Initial value/($^\circ$)	Terminal value/($^\circ$)
LOS angle in $MVT$	0	-60, -90, -120
LOS angle in $MLT$	0	0
Flight path angle in $MVT$	15	-60, -90, -120
Flight path angle in $MLT$	15	0
Look angle in $MVT$	15	0
Look angle in $MLT$	15	0

Multiconstraint adaptive three-dimensional guidance law using convex optimization

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