The shooting approach to optimal control problems

Joseph Frederic Bonnans 1, 2
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
Abstract : We give an overview of the shooting technique for solving deterministic optimal control problems. This approach allows to reduce locally these problems to a finite dimensional equation. We first recall the basic idea, in the case of unconstrained or control constrained problems, and show the link with second-order optimality conditions and the analysis or discretization errors. Then we focus on two cases that are now better undestood: state constrained problems, and affine control systems. We end by discussing extensions to the optimal control of a parabolic equation.
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Joseph Frederic Bonnans. The shooting approach to optimal control problems. IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, Giri, Fouad, Jul 2013, Caen, France. pp.281-292, ⟨10.3182/20130703-3-FR-4038.00158⟩. ⟨hal-00830896⟩

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