A Power Allocation Method for Three-dimensional Maneuvering Tracking of Colocated MIMO Radar Based on Air Defense QoS Model

doi:10.12382/bgxb.2022.1252

Abstract

Abstract:

Aiming at the problem of low power resource utilization for multi-function radar in air defense operation, this paper proposes a power allocation method for three-dimensional maneuvering tracking based on the quality of service (QoS) model, which achieves the improvement in multiple target tracking (MTT) performance with differentiated standards. The target three-dimensional maneuvering model is established as an adaptive current statistical (ACS) model, and the adaptive adjustment is achieved by associating the acceleration covariance with the estimation error covariance matrix. On this basis, the Bayesian Cramér-Rao lower bound (BCRLB) under three-dimensional tracking is derived and utilized as a criterion of tracking error. Subsequently, a closed-loop power optimization allocation mechanism under the air defense QoS model is established by constructing a functional relationship between the target threat degree and the expected tracking accuracy. In the last, it is proved that the formulated power optimal allocation model is a convex optimization problem, which is further transformed into a semi-definite programming (SDP) problem for solving. Simulated results show that the proposed method can significantly improve the global tracking performance compared with the traditional power allocation methods.

Key words: colocated multiple-input multiple-output radar, power allocation, three-dimensional maneuvering tracking, air defense operation, convex optimization

CLC Number:

TN957

LI Zhengjie, CHEN Hongyin, XIE Junwei, ZHANG Haowei, LIU Bin. A Power Allocation Method for Three-dimensional Maneuvering Tracking of Colocated MIMO Radar Based on Air Defense QoS Model[J]. Acta Armamentarii, 2024, 45(4): 1321-1331.

Figures/Tables 12

Fig.1 Closed-loop power optimization allocation mechanism

Fig.2 Spatial position relationship between radar and targets

Fig.3 Real-time radial distancesamong radar and targets

Table 1 Target initial parameters

目标	位置/km	速度/(m·s^-1)	加速度/(m·s^-2)
1	(12.2,75.1, 14.7)	(-1886.1,-476.2, 104.0)	(-34.2,-5.1, 2.8)
2	(38.6,-35.3, 18.0)	(214.9,842.3, -41.1)	(9.4,13.7, 5.2)
3	(-16.8,-69.8, 22.2)	(1328.2,450.0, -95.7)	(26.9,13.0, -8.8)

Table 2 Radar system simulation parameter setting

参数	数值	参数	数值
B_w/(°)	0.1	B_P/(°)	0.1
β_k_,_q/MHz	1	T_k_,_q/ms	1
λ_c/m	0.2	P_total/kW	60
P_max/kW	48	P_min/kW	6
T_S/s	2	γ_basic/m	145
β₁	0	σ₁	0.2
β₂	-45	σ₂	0.4
β₃	-60	Q	3

Fig.4 Comparison of tracking performances with different power allocation methods in Case 1

Fig.5 Comparison of air defense mission effectivenesses in Case 1

Fig.6 Power allocation results in Case 1

Fig.7 Normalized target threat weight in Case 2

Fig.8 Comparison of yracking performances with different power allocation methods in Case 2

Fig.9 Comparison of air defense mission effectivenesses in Case 2

Fig.10 Power allocation results in Case 2

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