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Journal of Zhejiang University SCIENCE C
ISSN 1869-1951(Print), 1869-196x(Online), Monthly
2014 Vol.15 No.4 P.284-292
Coordinated standoff tracking of moving targets using differential geometry
Abstract: This research is concerned with coordinated standoff tracking, and a guidance law against a moving target is proposed by using differential geometry. We first present the geometry between the unmanned aircraft (UA) and the target to obtain the convergent solution of standoff tracking when the speed ratio of the UA to the target is larger than one. Then, the convergent solution is used to guide the UA onto the standoff tracking geometry. We propose an improved guidance law by adding a derivative term to the relevant algorithm. To keep the phase angle difference of multiple UAs, we add a second derivative term to the relevant control law. Simulations are done to demonstrate the feasibility and performance of the proposed approach. The proposed algorithm can achieve coordinated control of multiple UAs with its simplicity and stability in terms of the standoff distance and phase angle difference.
Key words: Unmanned aircraft, Standoff tracking, Differential geometry, Coordinated control
创新要点:基于微分几何的协同对峙跟踪技术,使得多个无人机与目标保持对峙距离,且各无人机间保持一定相位。无人机在对峙圆内部时,采用如下简单、有效方法:若无人机航向与目标一致,偏离目标一定角度前行;否则,保持原有速度和航向行进。从理论上论证了运动目标对峙跟踪稳定性。
方法提亮:基于微分几何的控制律具备以下优点:算法实现简单且只需较少通信量;可以分析运动目标对峙跟踪的稳定性;在控制律中增加一个微分项,可在系统中引入一个有效的早期修正信号,从而加快系统动作速度,减少调节时间。
重要结论:在无人机与目标的速度比大于1的前提下,仿真实验表明了算法有效性。所提算法同样适用于在一定环境下多无人艇、多无人车对目标的协同对峙跟踪。
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DOI:
10.1631/jzus.C1300287
CLC number:
TP13
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2014-03-17