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UID:20250725T202451EDT-5075lEvtAM@132.216.98.100
DTSTAMP:20250726T002451Z
DESCRIPTION:Informal Systems Seminar (ISS)\, Centre for Intelligent Machine
 s (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisions (GERA
 D)\n\nSpeaker: Ali Pakniyat\n\n* Note that this is a hybrid event *\n	\n	Loc
 ation: MC 437\, McConnell Engineering Building\, McGill University\n	\n	Zoom
  Link\n	Meeting ID: 845 1388 1004       \n	Passcode: VISS\n	\n	Abstract:\n	In s
 everal engineering applications\, it is desired to bring a system from an 
 initial configuration to a specific terminal configuration. A motivational
  example is the multi-stage landing of reusable rockets which are required
  to come to full stop at an exact location on the landing platform in an u
 pright configuration with all linear and angular velocities coming to zero
 . While in a deterministic setting\, one can study these problems and prov
 ide theoretical guarantees for the satisfaction of the terminal state requ
 irements\, e.g.\, by employing the Minimum Principle (MP) and the Hybrid M
 P (HMP)\, no such guarantees can be provided for exact satisfaction of ter
 minal state constraints in a stochastic setting and\, inevitably\, one nee
 ds to seek alternative expressions of the desired requirements and establi
 sh guarantees for those alternatives.\n	\n	In this talk I will present two n
 ovel approaches\, each with an alternative expression of the terminal stat
 e requirement within the stochastic systems framework\, and each providing
  theoretical guarantees for optimality and the satisfaction of the associa
 ted terminal state constraints. The first approach is based on the Termina
 lly Constrained Stochastic Minimum Principle (TCSMP) for the satisfaction 
 of a family of constraints on the family of conditional expectations of th
 e terminal state. The second approach is to impose constraints on the prob
 ability distribution of the terminal state and to derive the optimal input
 s via a family of Hamilton-Jacobi (HJ) type equations established from the
  duality relationship between the space of measures and that of continuous
  functions. Numerical examples are provided to illustrate the results.\n	\n
 	Bio: Ali Pakniyat is an Assistant Professor in the department of Mechanica
 l Engineering at the University of Alabama. He received the B.Sc. degree i
 n Mechanical Engineering from Shiraz University\, the M.Sc. degree in Mech
 anical Engineering from Sharif University of Technology\, and the Ph.D. de
 gree in Electrical Engineering from 51³Ô¹ÏÍø. After holding two p
 ostdoctoral positions in the department of Mechanical Engineering at the U
 niversity of Michigan and the Institute for Robotics and Intelligent Machi
 nes at Georgia Tech\, he joined the University of Alabama in 2021 where he
  is now an Assistant Professor in the department of Mechanical Engineering
 .\n
DTSTART:20240705T140000Z
DTEND:20240705T150000Z
LOCATION:Zames Seminar Room\, MC 437\, McConnell Engineering Building\, CA\
 , QC\, Montreal\, H3A 0E9\, 3480 rue University
SUMMARY:Nonlinear Stochastic Hybrid Optimal Control with Fixed Terminal Sta
 tes
URL:/cim/channels/event/nonlinear-stochastic-hybrid-op
 timal-control-fixed-terminal-states-357914
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