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Displaying similar documents to “Dubins' problem is intrinsically three-dimensional”

Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale

Bernard Bonnard, Emmanuel Trélat (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The aim of this article is to make some geometric remarks and some preliminary calculations in order to construct the optimal atmospheric arc of a spatial shuttle (problem of reentry on Earth or Mars Sample Return project). The system describing the trajectories is in dimension 6, the control is the bank angle and the cost is the total thermal flux. Moreover there are state constraints (thermal flux, normal acceleration and dynamic pressure). Our study is mainly geometric and is founded...

Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard, M. Pelletier (1995)

Banach Center Publications

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We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form v ̇ = X + u Y , | u | ≤ 1 and v ∈ R 2 or R 3 , under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.