The Lie group projection operator approach is an iterative scheme for solving continuous-time optimal control problems on Lie groups. This work details the approach for optimal control problems on T SO(3), the tangent bundle of the special orthogonal group SO(3). The dynamics of a rigid satellite is used as illustrative example. Numerical simulations are presented and discussed.
|Title of host publication||Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 12-15 December 2011, Orlando, Florida|
|Place of Publication||Piscataway|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2011|