Optimal attitude control of a rigid body

DOI10.1007/BF01182474zbMath0884.70036OpenAlexW2055127277MaRDI QIDQ1917181

Karlheinz Spindler

Publication date: 18 March 1998

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01182474

zbMATH Keywords

angular velocitycost functionalPoisson bracketsPontryagin's maximum principleEuler's equationsgeometric control theoryintegral curvessatellite motioninvariant Hamiltonian vector fieldJurdjevic's geometric methodoptimal torques

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Control of mechanical systems (70Q05)

Related Items (5)

Optimal under-actuated kinematic motion planning on the \(\epsilon\)-group ⋮ Optimal geometric motion planning for a spin-stabilized spacecraft ⋮ Higher-order variational problems on Lie groups and optimal control applications ⋮ Optimal control on Lie groups with applications to attitude control ⋮ Geometric approach to Pontryagin's maximum principle

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