Resolution numerique de problemes de controle optimal par une methode homotopique simpliciale

Abstract : This study deals with the numerical resolution of optimal control problems with a low regularity. We primarily use indirect methods, which are both fast and accurate, but suffer from a great sensitiveness to the initialization. This difficulty leads us to introduce a continuation approach, in which we start from a related, but easier to solve problem. The path following between the two problems is here implemented with a simplicial method. We first study an orbital transfer problem with payload maximization, then two singular arcs problems. The future perspectives related to this work include in particular the study of state constraints problems, which are difficult to solve with indirect methods. Also, we would like to compare this approach with direct methods, which imply total or partial discretization of the problem.
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Mathematics. Institut National Polytechnique de Toulouse - INPT, 2005. French
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https://tel.archives-ouvertes.fr/tel-00011416
Contributor : Pierre Martinon <>
Submitted on : Wednesday, January 18, 2006 - 5:29:57 PM
Last modification on : Thursday, January 19, 2006 - 1:28:38 PM

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Pierre Martinon. Resolution numerique de problemes de controle optimal par une methode homotopique simpliciale. Mathematics. Institut National Polytechnique de Toulouse - INPT, 2005. French. <tel-00011416>

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