A reachability-based strategy for the time-optimal control of autonomous pursuers

References

• Ben-Asher , J. Z. and Yaesh , I. 1998 . “ Advanced missile guidance theory ” . In Progress in astronautics and aeronautics , Reston, VA : AIAA .
   Google Scholar
• Bernhard , P. 1970 . Linear pursuit evasion games and the isotropic rocket , SUDAAR Report 413. Department of Aeronautics and Astronautics, Stanford University
   Google Scholar
• Challa , S. and Morelande , M. R. 2005 . Manoeuvring target tracking in clutter using particle filters . IEEE transaction on aerospace electron. systems , 41 ( 1 ) : 252 – 270 .
   Web of Science ®Google Scholar
• Chung , C. F. , Furukawa , T. and Goktogan , A. H. Coordinated control for capturing a highly maneuverable evader using forward reachable sets . IEEE international conference on robotics and automation . Orlando, Florida. pp. 1336 – 1341 .
   Google Scholar
• Cliff , D. and Miller , G. F. 1995 . Co-evolution of pursuit and evasion. II: Simulation methods and results , Technical Report CSRP377, COGS, University of Sussex
   Google Scholar
• Frew , E. and Sengupta , R. Obstacle avoidance with sensor uncertainty for small unmanned aircraft . IEEE conference on decision and control . Atlantis, Paradise Island, Bahamas. pp. 614 – 619 .
   Google Scholar
• Furukawa , T. 2002 . Time-subminimal trajectory planning for discrete non-linear systems . Engineering optimization , 34 ( 3 ) : 219 – 243 .
   Web of Science ®Google Scholar
• Hàjek , O. 1975 . “ Mathematics in science and engineering ” . In Pursuit games , Vol. 120 , New York : Academic Press .
   Google Scholar
• Isaacs , R. 1965 . Differential games: A mathematical theory with applications to warfare and pursuit, control and optimization , New York : Dover Publications .
   Google Scholar
• Lawrence , R. V. 1998 . Interceptor line-of-sight rate steering: necessary conditions for a direct hit . Journal on guidance control dynamics , 21 ( 3 ) : 471 – 477 .
   Web of Science ®Google Scholar
• Merz , A. W. 1971 . The homicidal chauffeur: a differential game , SUDAAR Report 418, Department of Aeronautics and Astronautics, Stanford University
   Google Scholar
• Miller , G. F. and Cliff , D. 1994 . Co-evolution of pursuit and evasion. I: biological and game-theoretic foundations , Technical Report CSRP311, COGS, University of Sussex
   Google Scholar
• Mitchell , I. M. 2002 . Application of level set methods to control and reachability problems in continuous and hybrid systems , PhD Thesis, Stanford University
   Google Scholar
• Mitchell , I. M. , Bayen , A. M. and Tomlin , C. J. 2005 . A time-dependent Hamilton–Jacobi formulation of reachable sets for continuous dynamic games . IEEE transaction on robotics and automation , 50 ( 7 ) : 947 – 957 .
   Google Scholar
• Patsko , V. S. and Turova , V. L. Homicidal chauffeur game: computation of level sets of the value function . International symposium on differential games and applications . Maastricht, the Netherlands. pp. 466 – 473 .
   Google Scholar
• Prandini , M. , Hespanha , J. P. and Pappas , G. J. Greedy control for hybrid pursuit games . European control conference . Porto, Portugal. pp. 2621 – 2626 .
   Google Scholar
• Raivio , T. 2001 . Capture set computation of an optimally guided missile . Journal of guidance control dynamics , 21 ( 3 ) : 471 – 477 .
   Google Scholar
• Raivio , T. and Ehtamo , H. Applying non-linear programming to a complex pursuit–evasion problem . IEEE international conference on robotics and automation . Albuquerque, New Mexico. pp. 1548 – 1551 .
   Google Scholar
• Salmon , D. M. and Heine , W. 1973 . Reachable set analysis: an efficient technique for performing missile/sensor tradeoff studies . American institute of aeronautics and astronautics journal , 11 ( 7 ) : 927 – 931 .
   Web of Science ®Google Scholar
• Schattler , H. 1998 . Geometry of feedback and optimal control , New York : Marcel Dekker .
   Google Scholar
• Teo , K. T. and Goh , C. J. 1987 . A simple computational procedure for optimization problems with functional inequality constraints . IEEE transaction on automatic control , 32 ( 5 ) : 940 – 941 .
   Web of Science ®Google Scholar
• Vidal , R. , Shakernia , O. , Kim , H. J. , Shim , D. H. and Sastry , S. 2002 . Probabilistic pursuit evasion games: theory, implementation, and experimental evaluation . IEEE transaction on robotics and automation , 18 ( 5 ) : 662 – 669 .
   Google Scholar
• Yong , J. and Zhou , X. Y. 1999 . Stochastic controls: Hamilton systems and HJB equations , New York : Springer-Verlag .
   Google Scholar
• Zanardi , C. , Herve , J. Y. and Cohen , P. Escape strategy for a mobile robot under pursuit . Vancouver, British Columbia, Canada. IEEE international conference on systems, man and cybernetics , pp. 3304 – 3309 .
   Google Scholar
• Zarchan , P. 2002 . “ Tactical and strategic missile guidance ” . In Progress in astronautics and aeronautics , Reston, VA : AIAA .
   Google Scholar