T. Mita et al., Analytical time optimal control solution for a two-link planar acrobot with initial angular momentum, IEEE ROBOT, 17(3), 2001, pp. 361-366
In order to control gymnastic and jumping robots, we will derive the comple
te analytical solution to the posture control problem of a two-link free fl
ying object with initial angular momentum. We will show that the solution i
nvolves singular control and derive formulas to calculate the optimal switc
hing condition optimal terminal time and optimal trajectories. As an applic
ation, a high diving motion is simulated.