Analytical time optimal control solution for a two-link planar aerobot with initial angular momentum

摘要

In order to control gymnastic and jumping robots, we derive the complete analytical solution to the posture control problem of a two-link free flying object with initial angular momentum. We show that the solution involves singular control and derive formulas to calculate the optimal switching condition, optimal terminal time and optimal trajectories. As an application, a high diving motion is simulated.