Please refer to this
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Learn
$\texttt{Raibert Control}$ for single legged hopper.$\phi = sin^{-1}(\frac{\dot{x_0}\pi}{2l} \sqrt{\frac{m}{k}}) + k_p \cdot (\dot{x_0} - \dot{x_d})$ -
Add the control law with Raibert Control.
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Observe the dynamics via integration (RK4 or Euler forward).