Smart homing guidance strategy with control saturation against a cooperative target-defender team

doi:10.21629/JSEE.2019.02.15

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (2): 366-383.doi: 10.21629/JSEE.2019.02.15

• Control Theory and Application • Previous Articles Next Articles

Smart homing guidance strategy with control saturation against a cooperative target-defender team

Hang GUO*(), Wenxing FU(), Bin FU(), Kang CHEN(), NJie YA()

School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2018-05-29 Online:2019-04-01 Published:2019-04-28
Contact: Hang GUO E-mail:jsguoh@mail.nwpu.edu.cn;wenxingfu@nwpu.edu.cn;binfu@mail.nwpu.edu.cn;mars legend@163.com;jyan@nwpu.edu.cn
About author:GUO Hang was born in 1990. He received his B.S. degree from Northwestern Polytechnical University in 2011. He received his M.S. degree from School of Astronautics, Northwestern Polytechnical University in 2014. He is a Ph.D. candidate with School of Astronautics, Northwestern Polytechnical University. His research interests are hypersonic vehicle’s guidance and control and flight dynamics.E-mail:jsguoh@mail.nwpu.edu.cn|FU Wenxing was born in 1974. He received his Ph.D. degree from School of Astronautics, Northwestern Polytechnical University in 2006. As a professor, he is working in the School of Astronautics, Northwestern Polytechnical University. His research interests are system simulation and aircraft design.E-mail:wenxingfu@nwpu.edu.cn|FU Bin was born in 1989. He received his B.S. degree from Northwestern Polytechnical University in 2011. He received his M.S. degree from School of Astronautics, Northwestern Polytechnical University in 2014. He is now a Ph.D. candidate with the School of Astronautics, Northwestern Polytechnical University. His research interests are guidance, navigation and control.E-mail:binfu@mail.nwpu.edu.cn|CHEN Kang was born in 1980. He received his Ph.D. degree from School of Astronautics Northwestern Polytechnical University in 2010. As an associate professor, he is working in the School of Astronautics, Northwestern Polytechnical University. His research interests are flight control, guidance and aircraft design.E-mail:mars legend@163.com|YAN Jie was born in 1960. He received his Ph.D. degree from School of Astronautics, Northwestern Polytechnical University in 1988. He is currently working as a professor and Ph.D. candidate supervisor in the School of Astronautics, Northwestern Polytechnical University. His research interests are flight control, guidance, system simulation and aircraft design.E-mail:jyan@nwpu.edu.cn
Supported by:
the National Natural Science Foundation of China(91216104);the National Natural Science Foundation of China(61503302);This work was supported by the National Natural Science Foundation of China (91216104; 61503302)

Abstract

Abstract:

A smart homing guidance strategy with control saturation against a target-defender team is derived. It is noteworthy that a cooperative strategy of the target-defender team is applied, which has been proved more challenging for the homing guidance. The defender missile is launched by the target and guided by a cooperative augmented proportional navigation (APN). At the same time, the target performs a one-switch maneuver to cooperate and minimize the defenderos acceleration requirement. The problem is analyzed for arbitrary-order linear dynamics of the agents in the linearized form but validated by the mathematical simulations by using nonlinear kinematics. The perfect information of three agentso states is assumed. Then, a method to deal with the target-defender team is proposed. It contains a combined performance index penalizing the miss distance relative to the target and energy consumption in the whole duration. Besides, the specific miss distance related to the defender is regarded as an inequality constraint. An analytical solution for the smart guidance strategy against the APN guided defender is derived. Meanwhile, the control saturations are introduced to get more realistic and reasonable insights to this practical target-missile-defender problem. A simple but effective iterative searching technique is proposed to determine the saturation time points. The solution provides an optimal homing strategy to evade the defender with a specific miss distance and intercept the target with the minimum miss distance in the minimum energy manner. Nonlinear two-dimensional simulation results are used to validate the theoretical analysis. By comparison with the optimal differential game guidance (ODGG) and the combined minimum effort guidance (CMEG), the superiority of this smart guidance strategy is concluded.

Key words: smart homing guidance, control saturation, targetmissile-defender, iterative searching technique

Hang GUO, Wenxing FU, Bin FU, Kang CHEN, NJie YA. Smart homing guidance strategy with control saturation against a cooperative target-defender team[J]. Journal of Systems Engineering and Electronics, 2019, 30(2): 366-383.

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Parameter	Value
V_T/(m/s)	300
V_D/(m/s)	600
V^M /(m/s)	600
τ_T/s	1.0
τ_D/s	1.0
τ_M/s	0.1
u_T max/(m/s²)	49
(x_T0, y_T0)/m	(0, 0)
(x_D0, y_D0)/m	(2 000, 0)
(x_M0, y_M0)/m	(10 0000, 500)
(γ_T0, γ_D0, γ_M0)/(°)	(0, 0, 0)
N'_PN	3
(M_MD, M_MT)/m	(20, 0)
Step length h/s	0.001

Parameter	Value
V_T/(m/s)	300
V_D/(m/s)	600
V^M /(m/s)	600
τ_T/s	1.0
τ_D/s	0.1
τ_M/s	0.1
u_T max/(m/s²)	49
u_D max/(m/s²)	147
u_M max/(m/s²)	147
(x_T0, y_T0)/m	(0, 0)
(x_D0, y_D0)/m	(2 000, 0)
(x_M0, y_M0)/m	(10 0000, 500)
(γ_T0, γ_D0, γ_M0)/(°)	(0, 0, 0)
N'_PN	3
(M_MD, M_MT)/m	(20, 0)
Step length h/s	0.001
a	1000

Parameter	Value/m
Parameter	SOG	ODGG	CMEG
y(t_fMD)	73.01	21.64	60.72
y(t_fMT)	0.34	0.25	0.29

Smart homing guidance strategy with control saturation against a cooperative target-defender team

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