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- W2101341777 abstract "We consider the optimal control of mechanical systems on Lie groups and develop numerical methods that exploit the structure of the state space and preserve the system motion invariants. Our approach is based on a coordinate-free variational discretization of the dynamics that leads to structure-preserving discrete equations of motion. We construct necessary conditions for optimal trajectories that correspond to discrete geodesics of a higher order system and develop numerical methods for their computation. The resulting algorithms are simple to implement and converge to a solution in very few iterations. A general software implementation is provided and applied to two example systems: an underactuated boat and a satellite with thrusters." @default.
- W2101341777 created "2016-06-24" @default.
- W2101341777 creator A5018631946 @default.
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- W2101341777 date "2011-08-01" @default.
- W2101341777 modified "2023-10-01" @default.
- W2101341777 title "Discrete Geometric Optimal Control on Lie Groups" @default.
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- W2101341777 doi "https://doi.org/10.1109/tro.2011.2139130" @default.
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