Distributed Adaptive Optimal Cooperative Interception Method for Missile Swarm with Synchronization Error Constraints

doi:10.12382/bgxb.2022.1160

Abstract

Abstract:

To deal with the problem of poor synchronization for partial unknown nonlinear cooperative guidance system subject to synchronization error constraints caused by unknown maneuvering targets, a feedforward compensation+feedback optimization cooperative guidance framework is constructed. Then, a distributed adaptive optimal cooperative interception guidance method is proposed. In the feedforward compensation part, a nonlinear mapping mechanism is provided by designing a novel barrier Lyapunov function (BLF) for compensating the system effects of synchronization error constraints. To estimate the unknown nonlinear term caused by the maneuvering target, a neural network (NN) observer is built, in which the weight values are updated adaptively for estimating the target's unknown maneuvering disturbance. In the feedback optimization part, the virtual and actual control inputs are designed recursively by using the ADP technique, in which the control input in every backstepping process is transformed into the issue of solving the nonlinear coupled HJB equation. An adaptive critic network is built to solve the optimal cost function of the HJB equation online, in which a residual error based adaptive updating law of critic weight is derived. The stability of the nonlinear cooperative guidance closed-loop system is analyzed and the convergence of cooperative synchronization error is guaranteed theoretically based on the Lyapunov theory. The simulation results show that the synchronization error can be reduced to 0.01s while ensuring the interception precision with the proposed method.

Key words: cooperative interception, target maneuvering, ADP, error constraints, adaptive critic network

CLC Number:

V448

LIU Dawei, SUN Jingliang, LONG Teng, HE Jing, WANG Xiaoyue. Distributed Adaptive Optimal Cooperative Interception Method for Missile Swarm with Synchronization Error Constraints[J]. Acta Armamentarii, 2023, 44(9): 2580-2590.

Figures/Tables 9

Fig.1 Multi-missile cooperative guidance geometry

Fig.2 Information exchange topology between missiles

Table 1 Initial parameters of missile and target

对象	初始位置/m	初始航迹角/(°)
领弹	(0,0)	45
从弹1	(200,0)	60
从弹2	(100,0)	60
目标	(1000,500)	60

Fig.3 Trajectories of multi-missile cooperative interception

Fig.4 Relative distance between missile and target

Fig.5 Relative velocity between missile and target

Fig.6 Trajectories oflight-of-sight rate

Table 2 Cooperative guidance performance

导弹	脱靶量/m	拦截时间/s
领弹	0.8	4.72
从弹1	1.1	4.72
从弹2	0.7	4.73

Fig.7 Trajectories of synchronization neighbor error

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