Geometric collocation method on SO(3) with application to optimal attitude control of a 3D rotating rigid body

DOI10.1155/2015/790409zbMath1394.70065OpenAlexW2195718189WikidataQ59119882 ScholiaQ59119882MaRDI QIDQ1666583

Jie Li, Lincheng Shen, Lizhen Wu, Xiaojia Xiang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/790409

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Uses Software

• GPOPS
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Cites Work

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• Optimal attitude control of a rigid body using geometrically exact computations on \(SO(3)\)
• Geometric structure-preserving optimal control of a rigid body
• A family of embedded Runge-Kutta formulae
• On the construction of geometric integrators in the RKMK class
• Lie-Butcher theory for Runge-Kutta methods
• Algorithm 902
• Geometric pseudospectral method for spatial integration of dynamical systems
• Spectral Methods for Time-Dependent Problems
• Survey of Numerical Methods for Trajectory Optimization
• On the solution of linear differential equations in Lie groups
• Spectral Methods in MATLAB

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