Capturability analysis of a differential geometrical guidance law

被引：0
|
作者：
Chen X.-L. [1 ]
Hua W.-H. [1 ]
机构：
[1] School of Astronautics, Harbin Institute of Technology
来源：
Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University | 2010年 / 31卷 / 12期
关键词：
Capture condition; Differential geometry; Guidance law; Relative velocity space;
D O I：
10.3969/j.issn.1006-7043.2010.12.011
中图分类号：
学科分类号：
摘要：
Based on the instantaneous collision idea, a differential geometrical guidance law was derived for target interception in a nonlinear engagement geometry scenario. This derivation process adopted the derivation of time, but trajectory arc length and sufficient conditions for target interception were given. The capture region in relative velocity space was divided by using the linear division method and the circle division method, respectively. The consistency in capture conditions of these two methods was proven and the advantages and disadvantages were analyzed. The simulations were carried out for maneuvering and non-maneuvering target interceptions of different initial conditions, and the results show that this guidance law can intercept the target effectively and verify the capture conditions.
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收藏
页码：1626 / 1631
页数：5
相关论文
共 10 条
  • [1] Guelman M., A qualitative study of proportional navigation, IEEE Transactions on Aerospace and Electronic Systems, AES-7, 4, pp. 637-643, (1971)
  • [2] Song S.H., Ha I.J., A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws, IEEE Transactions on Aerospace and Electronic Systems, 30, 1, pp. 238-248, (1994)
  • [3] Ghawghawe S.N., Ghose D., Pure proportional navigation against time-varying target maneuvers, IEEE Transactions on Aerospace and Electronic Systems, 32, 4, pp. 1336-1347, (1996)
  • [4] Gutman S., On optimal guidance for homing missiles, Guidance and Control, 2, 4, pp. 296-300, (1979)
  • [5] Zhou D., Mu C.D., Xu W.L., Adaptive sliding-mode guidance of a homing-missile, Journal of Guidance, Control and Dynamics, 22, 4, pp. 589-594, (1999)
  • [6] Moon J., Kim K., Kim Y., Design of missile guidance law via variable structure control, Journal of Guidance, Control, and Dynamics, 24, 4, pp. 659-664, (2001)
  • [7] Poulter R.A., Anderson G.M., A guidance concept for air-to-air missiles based on nonlinear differential game theory, Proceedings of the National Aerospace and Electronics Conference, (1976)
  • [8] Anderson G.M., Comparison of optimal control and differential game intercept missile guidance laws, Journal of Guidance and Control, 4, 2, pp. 109-115, (1981)
  • [9] Kuo C.Y., Soetanto D., Chiou Y.C., Geometric analysis of flight control command for tactical missile guidance, IEEE Transactions on Control Systems Technology, 9, 2, pp. 234-243, (2001)
  • [10] Lechevin N., Rabbath C.A., Lyapunov-based nonlinear missile guidance, Guidance, 27, 6, pp. 1096-1102, (2004)
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