Space Station Attitude Control Optimal Control Problem

The space station attitude reorientation optimal control problem is given as follows. Minimize the cost functional

eqn1290

subject to the dynamic constraints

eqn1290

the inequality path constraint

eqn1290


and the boundary conditions

eqn9806


The solution to the space station attitude control optimal control problem tf=18000 using GPOPS-II is shown in the figures below alongside the solution obtained using the software Sparse Optimization Suite (SOS).





spaceStationState1spaceStationState2spaceStationState3spaceStationState4spaceStationState5spaceStationState6spaceStationState7spaceStationState8spaceStationState9spaceStationControl1spaceStationControl2spaceStationControl3