Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint
arxiv(2023)
摘要
We deal with a control-affine problem with scalar control subject to bounds, a scalar state constraint and endpoint constraints of equality type. For the numerical solution of this problem, we propose a shooting algorithm and provide a sufficient condition for its local convergence. We exhibit an example that illustrates the theory.
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关键词
Optimal control,Shooting algorithm,Singular arc,Second order optimality conditions
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