{"id":4107,"date":"2017-01-23T10:01:05","date_gmt":"2017-01-23T15:01:05","guid":{"rendered":"http:\/\/mseas.mit.edu\/?p=4107"},"modified":"2021-07-06T13:03:28","modified_gmt":"2021-07-06T17:03:28","slug":"pursuit-evasion-games-in-dynamic-flow-fields-via-reachability-set-analysis","status":"publish","type":"post","link":"https:\/\/mseas.mit.edu\/?p=4107","title":{"rendered":"Pursuit-Evasion Games in Dynamic Flow Fields via Reachability Set Analysis"},"content":{"rendered":"In this paper, we adopt a reachability-based\r\napproach to deal with the pursuit-evasion differential game\r\nbetween two players in the presence of dynamic environmental\r\ndisturbances (e.g., winds, sea currents). We give conditions for\r\nthe game to be terminated in terms of reachable set inclusions.\r\nLevel set equations are defined and solved to generate the\r\nreachable sets of the pursuer and the evader. The corresponding\r\ntime-optimal trajectories and optimal strategies can be retrieved\r\nimmediately afterwards. We validate our method by applying\r\nit to a pursuit-evasion game in a simple flow field, for which an\r\nanalytical solution is available.We then implement the proposed\r\nscheme to a problem with a more realistic flow field.","protected":false},"excerpt":{"rendered":"<p>In this paper, we adopt a reachability-based approach to deal with the pursuit-evasion differential game between two players in the presence of dynamic environmental disturbances (e.g., winds, sea currents). We give conditions for the game to be terminated in terms of reachable set inclusions. Level set equations are defined and solved to generate the reachable [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[183,35,5,70],"tags":[],"class_list":["post-4107","post","type-post","status-publish","format-standard","hentry","category-science-of-autonomy","category-optimal-path-planning","category-publications","category-proceedings-of-refereed-conferences-optimal-path-planning"],"_links":{"self":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/4107","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4107"}],"version-history":[{"count":1,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/4107\/revisions"}],"predecessor-version":[{"id":4108,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/4107\/revisions\/4108"}],"wp:attachment":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4107"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4107"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}