Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering

DOI10.3934/dcdsb.2016.21.1347zbMath1347.49038arXiv1504.06219OpenAlexW2242862815MaRDI QIDQ316885

Emmanuel Trélat, Max Cerf, Jia-Min Zhu

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06219

zbMATH Keywords

bang-bang controlspacecraftPontryagin maximum principlesingular controlchattering arcsminimum time controlplanar tilting maneuversub-optimal strategy

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of optimal control and differential games (49N90) Numerical methods based on nonlinear programming (49M37) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Uses Software

• Ipopt
• SOCS

Cites Work

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