Three-dimensional impact angle constrained distributed cooperative guidance law for anti-ship missiles

doi:10.23919/JSEE.2021.000038

Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (2): 447-459.doi: 10.23919/JSEE.2021.000038

• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles

Three-dimensional impact angle constrained distributed cooperative guidance law for anti-ship missiles

Wei LI¹(), Qiuqiu WEN^1,*(), Lei HE²(), Qunli XIA¹()

¹ School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
² Sichuan Institute of Aerospace Systems Engineering, Chengdu 610100, China

Received:2020-04-07 Online:2021-04-29 Published:2021-04-29
Contact: Qiuqiu WEN E-mail:cooper1994@126.com;wenqiuqiu82@bit.edu.cn;bit2120160054@163.com;1010@bit.edu.cn
About author:|LI Wei was born in 1994. He received his B.E. and M.E. degrees from Beijing Institute of Technology in 2015 and 2018 respectively. Now he is a Ph.D. candidate in Beijing Institute of Technology. His research interests are missile guidance and control, cooperative guidance and control of multiple flight vehicles. E-mail: cooper1994@126.com||WEN Qiuqiu was born in 1982. He received his B.E. degree in weapon system engineering, and Ph.D. degree in aircraft design engineering from Beijing Institute of Technology in 2010. He was a post-doctoral researcher in Beijing Institute of Technology from 2010 to 2012. He is currently an associate professor in Beijing Institute of Technology. His research interests are missile guidance and control, and optimal control technology. E-mail: wenqiuqiu82@bit.edu.cn||HE Lei was born in 1993. He received his M.S. degree from Beijing Institute of Technology in 2019 and he is an engineer in Sichuan Institute of Aerospace Systems Engineering. His research interests are guidance and control technology. E-mail: bit2120160054@163.com||XIA Qunli was born in 1971. He received his B.E. degree in launching engineering, M.E. degree in flight mechanics and Ph.D. degree in aircraft design from Beijing Institute of Technology in 1993, 1996, and 1999 respectively. He is currently an associate professor in Beijing Institute of Technology. His research interests are missile guidance and control technology. E-mail: 1010@bit.edu.cn

Abstract

Abstract:

This paper investigates the problem of distributed cooperative guidance law design for multiple anti-ship missiles in the three-dimensional (3-D) space hitting simultaneously the same target with considering the desired terminal impact angle constraint. To address this issue, the problem formulation including 3-D nonlinear mathematical model description, and communication topology are built firstly. Then the consensus variable is constructed using the available information and can reach consensus under the proposed acceleration command along the line-of-sight (LOS) which satisfies the impact time constraint. However, the normal accelerations are designed to guarantee the convergence of the LOS angular rate. Furthermore, consider the terminal impact angle constraints, a nonsingular terminal sliding mode (NTSM) control is introduced, and a finite time convergent control law of normal acceleration is proposed. The convergence of the proposed guidance law is proved by using the second Lyapunov stability method, and numerical simulations are also conducted to verify its effectiveness. The results indicate that the proposed cooperative guidance law can regulate the impact time error and impact angle error in finite time if the connecting time of the communication topology is longer than the required convergent time.

Key words: distributed cooperative guidance law, impact angle constraint, communication topology, nonsingular terminal sliding mode (NTSM) control, finite time convergent

Wei LI, Qiuqiu WEN, Lei HE, Qunli XIA. Three-dimensional impact angle constrained distributed cooperative guidance law for anti-ship missiles[J]. Journal of Systems Engineering and Electronics, 2021, 32(2): 447-459.

Figures/Tables 10

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Missile	${\rm{Position}} /{{\rm{km}}} $	$\theta / ({^\circ }) $	$\psi / ({^\circ })$	${\rm{Velocity}}/( {{\rm{m/s}}}) $
M1	$\left( { - 13,4, - 13} \right)$	10	10	300
M2	$\left( { - 10,2, - 12} \right)$	?10	30	300
M3	$\left( { - 12,6, - 10} \right)$	?20	20	300

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Three-dimensional impact angle constrained distributed cooperative guidance law for anti-ship missiles

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