A linear differential game with bounded controls and two information delays

被引:12
作者
Glizer, Valery Y. [1 ,2 ]
Turetsky, Vladimir [1 ]
机构
[1] Technion Israel Inst Technol, Fac Aerosp Engn, IL-32000 Haifa, Israel
[2] Ort Braude Acad Coll Engn, Dept Math, IL-21982 Karmiel, Israel
关键词
interception; differential game; delayed information; EVASION;
D O I
10.1002/oca.850
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of intercepting a maneuvering target by a guided interceptor is considered. It is assumed that the interceptor gets the information on the relative velocity and the target lateral acceleration with time delays. This problem is formulated as a zero-sum differential game with information delays. By using the uncertainty set concept, this differential game is transformed to a new perfect information differential game with a delayed dynamics. The solution of this game is derived, yielding the interception strategy. Illustrative examples are presented. Copyright (c) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码:135 / 161
页数:27
相关论文
共 18 条
[1]  
Bryson A. E., 2018, Applied Optimal Control: Optimization, Estimation and Control
[2]  
Fitzgerald R J., 1978, GUID CONTR C, P424
[3]   Optimal evasion from a pursuer with delayed information [J].
Glizer, VY ;
Shinar, J .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 111 (01) :7-38
[4]  
Gutman S., 1979, Journal of Guidance and Control, P296, DOI DOI 10.2514/3.55878
[5]  
Isaacs R, 1965, Differential Games
[6]  
Krasovskii N.N., 1988, Game-theoretical control problems
[7]  
KUMKOV SI, 1995, PMM-J APPL MATH MEC, V59, P75
[8]  
Petrosjan L.A., 1993, Differential Games of Pursuit, VVolume 2
[9]   Time-varying linear pursuit-evasion game models with bounded controls [J].
Shima, T ;
Shinar, J .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2002, 25 (03) :425-432
[10]  
Shinar J., 1999, Int Game Theory Rev, V1, P197, DOI [10.1142/S0219198999000153, DOI 10.1142/S0219198999000153]