Optimal attitude control of a rigid body using geometrically exact computations on \(SO(3)\)

DOI10.1007/s10883-008-9047-7zbMath1203.70044arXivmath/0601424OpenAlexW2060239146MaRDI QIDQ619206

Sumit K. Garg

Publication date: 22 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601424

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Orbital mechanics (70M20) Optimality conditions for problems involving ordinary differential equations (49K15) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (14)

The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Variational integrators for mechanical control systems with symmetries ⋮ Second-order variational problems on Lie groupoids and optimal control applications ⋮ Hamiltonian structures of dynamics of a gyrostat in a gravitational field ⋮ Geometric collocation method on SO(3) with application to optimal attitude control of a 3D rotating rigid body ⋮ Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism ⋮ Micromechanics-informed parametric deep material network for physics behavior prediction of heterogeneous materials with a varying morphology ⋮ A discrete-time Pontryagin maximum principle on matrix Lie groups ⋮ Geometric pseudospectral method on \(SE(3)\) for rigid-body dynamics with application to aircraft ⋮ DISCRETE SECOND-ORDER EULER–POINCARÉ EQUATIONS: APPLICATIONS TO OPTIMAL CONTROL ⋮ MPC on manifolds with an application to the control of spacecraft attitude on SO(3) ⋮ Geometric integrators for higher-order variational systems and their application to optimal control ⋮ Higher-order variational problems on Lie groups and optimal control applications ⋮ Intrinsic optimal control for mechanical systems on Lie group

Uses Software

• KELLEY

Cites Work

• Improved Trotter-like formula
• Lie group variational integrators for the full body problem in orbital mechanics
• Optimal control on Lie groups with applications to attitude control
• Lie group variational integrators for the full body problem
• Discrete mechanics and variational integrators
• Error Analysis of Symplectic Multiple Time Stepping
• Geometric numerical integration illustrated by the Störmer–Verlet method
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