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SUMMARY:Optimal control and applications to aerospace problems
DTSTART:20140404T101500
DTSTAMP:20260406T111847Z
UID:6202b6d351f8e1ff8400440299acca187348940cd6aad53eb17f63ac
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Emmanuel Trélat\, Université Pierre et Marie Curie\nI 
 will first shortly report on some classical techniques of nonlinear optima
 l control such as the Pontryagin maximum principle and the conjugate point
  theory\, and on their numerical implementation. I will illustrate these i
 ssues with problems coming from aerospace applications such as the orbit t
 ransfer problem which is taken as a motivating example. Such problems are 
 encountered in a longstanding collaboration with the european space indust
 ry EADS Astrium.\nOn this kind of nonacademic problem it is shown that the
  knowledge resulting from the maximum principle is insufficient for solvin
 g adequately the problem\, in particular due to the difficulty of initiali
 zing the shooting method\, which is an approach for solving the boundary v
 alue problem resulting from the application of the maximum principle.\nOn 
 the orbit transfer problem I will show how the shooting method can be succ
 essfully combined with a numerical continuation method in order to improve
  significantly its performances. I will comment on assumptions ensuring th
 e feasibility of continuation or homotopy methods \, which consist of defo
 rming continuously a problem towards a simpler one\, and then of solving a
  series of parametrized problems to end up with the solution of the initia
 l problem. Finally\, in view of designing low cost interplanetary space mi
 ssions\, I will show how optimal control can be also combined with dynamic
 al system theory\, which allows to put in evidence nice properties of the 
 celestial dynamics around Lagrange points that are of great interest for m
 ission design.\nBio:\nEmmanuel Trélat is full professor with Univ. Pierre
  et Marie Curie (Paris 6)\, and member of the Institut Universitaire de Fr
 ance. He was previously professor with Univ. Orléans (2006--2011)\, and a
 ssociate professor with Univ. Paris-Sud\, Orsay (2001--2006). He is also m
 ember of the team GECO at INRIA Saclay. He has a number of research contra
 cts with EADS Astrium\, with the CNES and the CEA. He was one of the creat
 ing members of the pole OPALE (OPtimization Applied to European Launchers\
 , 2005--2009) between CNES\, EADS\, Inria\, ONERA and several universities
 \, promoting the collaboration between academics and industrials on aerosp
 ace control problems.\nHe received in 2012 the Felix Klein Prize (EMS priz
 e) for his contributions on Ariane launchers.\nHe is the author of around 
 45 articles\, 20 proceedings\, 2 books. He is editor in chief of the journ
 al Acta Applicandae Mathematicae and associate editor of several internati
 onal journals. He supervises currently 5 PhD theses.\nHis research fields 
 are on control in finite and infinite dimension\, in relation with other f
 ields like sub-Riemannian geometry\, PDE's or imaging.
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STATUS:CONFIRMED
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