Defense Game in a Circular Region

被引:0
作者
Yan, Rui [1 ,2 ]
Shi, Zongying [1 ,2 ]
Zhong, Yisheng [1 ,2 ]
机构
[1] Tsinghua Univ, Tsinghua Natl Lab Informat Sci & Technol TNList, Dept Automat, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年
基金
中国国家自然科学基金;
关键词
PURSUIT; EVASION; LION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers a particular pursuit-evasion game, called as defense game in which a faster defender patrols in a circular region and guards it against a spy. The spy aims to escape from the circular region without being point-captured, while the defender aims to prevent the escape. We are concerned with the conditions under which the defender or the spy can win the game. In this work, the stated problem is posed as a game of kind, and the central focus is the construction of the barrier that separates the capture zone from the escape zone. which has two terminal manifolds, we propose a geometrical method to construct the barrier analytically. Then, the optimal control strategies of the players on the barrier are presented. winning regions, two games of degree with different payoff functions are discussed.
引用
收藏
页数:6
相关论文
共 21 条
  • [1] Analikwu CV, 2016, IEEE INT FUZZY SYST, P1007, DOI 10.1109/FUZZ-IEEE.2016.7737798
  • [2] [Anonymous], P 47 IEEE C DEC CONT
  • [3] Basar T., 1999, Dynamic Noncooperative Game Theory, Vsecond
  • [4] A Visibility-Based Pursuit-Evasion Game with a Circular Obstacle
    Bhattacharya, Sourabh
    Basar, Tamer
    Hovakimyan, Naira
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 171 (03) : 1071 - 1082
  • [5] Chen M., 2015, IEEE EUR CONTR C
  • [6] A decomposition approach to multi-vehicle cooperative control
    Earl, Matthew G.
    D'Andrea, Raffaello
    [J]. ROBOTICS AND AUTONOMOUS SYSTEMS, 2007, 55 (04) : 276 - 291
  • [7] DIFFERENTIAL-GAMES AND REPRESENTATION FORMULAS FOR SOLUTIONS OF HAMILTON-JACOBI-ISAACS EQUATIONS
    EVANS, LC
    SOUGANIDIS, PE
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (05) : 773 - 797
  • [8] LION AND MAN - BOUNDARY CONSTRAINT
    FLYNN, JO
    [J]. SIAM JOURNAL ON CONTROL, 1973, 11 (03): : 397 - 411
  • [9] Applications of hybrid reachability analysis to robotic aerial vehicles
    Gillula, Jeremy H.
    Hoffmann, Gabriel M.
    Huang, Haomiao
    Vitus, Michael P.
    Tomlin, Claire J.
    [J]. INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH, 2011, 30 (03) : 335 - 354
  • [10] Huang H., 2011, P 2011 IEEE INT C RO