3D-Nonlinear Vector Guidance and Exo-Atmospheric Interception

被引:11
作者
Gutman, Shaul [1 ]
Rubinsky, Sergey [1 ]
机构
[1] Technion Israel Inst Technol, IL-32000 Haifa, Israel
关键词
3-DIMENSIONAL PROPORTIONAL NAVIGATION; MISSILE GUIDANCE; GAMES; LAW;
D O I
10.1109/TAES.2015.140204
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
This paper presents a nonlinear 3D-vector guidance law. It is based on kinematic vector equations, where the commanded thrust is bounded, and the interceptor does not know the target evasive strategy. The resulting game theoretic guidance law with miss-distance as the cost, is nonlinear, aligned along the zero-effort-miss (ZEM) direction, and the time-to-go is a solution of a quartic polynomial equation in feedback form. This time-to-go is the actual one provided both players play optimal. If the evader does not play optimal, capture occurs earlier. Moreover, optimal strategies in line-of-sight (LOS) coordinates are also presented. It is found that these strategies are functions of the range, range rate, and the LOS rate. Simulations demonstrate the possibility of a miss at the first pass, but eventual capture.
引用
收藏
页码:3014 / 3022
页数:9
相关论文
共 15 条
[1]   MISSILE GUIDANCE BY 3-DIMENSIONAL PROPORTIONAL NAVIGATION [J].
ADLER, FP .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (05) :500-507
[2]  
Cheng C. H., 2005, P 2005 IEEE AM CONTR, V1
[3]   Geometric approach to three-dimensional missile guidance problem [J].
Chiou, YC ;
Kuo, CY .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1998, 21 (02) :335-341
[4]   CLOSED-FORM SOLUTION OF TRUE PROPORTIONAL NAVIGATION [J].
GUELMAN, M .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1976, 12 (04) :472-482
[5]   OPTIMAL STRATEGIES IN NEIGHBORHOOD OF A COLLISON COURSE [J].
GUTMAN, S ;
LEITMANN, G .
AIAA JOURNAL, 1976, 14 (09) :1210-1212
[6]   SIMPLE LINEAR PURSUIT EVASION GAMES [J].
GUTMAN, S ;
ESH, M ;
GEFEN, M .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1987, 13 (1-3) :83-95
[7]  
GUTMAN S, 1980, J OPTIMIZ THEORY APP, V32, P365, DOI 10.1007/BF00934558
[8]  
Gutman S., 1979, Journal of Guidance and Control, P296, DOI DOI 10.2514/3.55878
[9]  
Gutman S., 2005, PROGR ASTRONAUTICS A, V209
[10]  
Kebo L., 2013, CHINESE J AERONAUT, V26, P976