{"id":3292,"date":"2023-10-19T08:35:10","date_gmt":"2023-10-19T15:35:10","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=3292"},"modified":"2023-10-22T20:41:42","modified_gmt":"2023-10-23T03:41:42","slug":"applied-math-seminar-jeremy-brandman","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/applied-math-seminar-jeremy-brandman\/","title":{"rendered":"Applied Math Seminar: Jeremy Brandman (DCS corporation)"},"content":{"rendered":"<p style=\"font-weight: 400;\"><u>Title<\/u><\/p>\n<p style=\"font-weight: 400;\">Control algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning.<\/p>\n<p style=\"font-weight: 400;\"><u>Abstract<\/u><\/p>\n<p style=\"font-weight: 400;\">Unmanned underwater vehicles (UUVs) are defined by their ability to operate without direct human intervention.\u00a0 As a result, UUVs are valuable for surveillance tasks, especially in the presence of hazardous environmental conditions.\u00a0Specific applications of UUVs include seafloor mapping, mine detection, and oil pipeline inspection.<\/p>\n<p style=\"font-weight: 400;\">In this talk, we propose new algorithms for two aspects of UUV control: path planning and vehicle guidance.\u00a0 Path planning identifies a vehicle trajectory, based on anticipated environmental conditions, that achieves desired mission objectives (e.g. obstacle avoidance, minimization of energy consumption). Vehicle guidance responds to observed environmental conditions in order to maintain fidelity to the path selected by the path planner.<\/p>\n<p style=\"font-weight: 400;\">The first half of this talk considers a new approach to path planning based on solving Hamilton-Jacobi partial differential equations (PDE).\u00a0 The starting point for this method is the observation that the vehicle\u2019s minimum travel-time satisfies a time-independent Hamilton-Jacobi equation .\u00a0 Numerical solutions to this PDE are efficiently computed using the fast sweeping method.\u00a0 Our approach is validated through several examples for which optimal trajectories are derived using the calculus of variations.<\/p>\n<p style=\"font-weight: 400;\">The second half of this talk introduces a reinforcement learning framework for incorporating in situ ocean current measurements into the guidance system in an energetically optimal manner.\u00a0 Scaling and symmetry considerations turn out to play an important role in the framework\u2019s efficiency and robustness.\u00a0 Numerical results demonstrate that the energetic cost of transits executed under the guidance of a trained agent approaches optimal performance.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title Control algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. Abstract Unmanned underwater vehicles (UUVs) are defined by their ability to operate without direct [&hellip;]<\/p>\n","protected":false},"author":233,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[15],"class_list":["post-3292","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-applied-math-seminar","cat_applied-math-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Applied Math Seminar: Jeremy Brandman (DCS corporation) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3292\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Applied Math Seminar: Jeremy Brandman (DCS corporation) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Title Control algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. 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