It has been a few months since there has been an update for this page. Over the last few months there has been a ton of work finalizing the physical robot and improving the overall control code. Now that everything is all wired up on the robot, we can start looking at the tracking performance of the legs during the swing phase of walking. We looked around at a few different methods for generating trajectories. You get a preview of it walking in the air while we were testing the trajectories.
We decided to just settle with a stable polynomial spline trajectory. There are many types of splines out there, such as cubic, quintic, clothoids, etc., but a simple cubic spline was the best fit because we wanted basic acceleration motion profiling for the inverse kinematics and dynamics of the leg. Below is an example of a a basic cubic spline interpolating a few data points (This is not that actual trajectory of the foot, just an example).
Since the robot also has a concept of force control, the trajectory only acts as soft guideline for the feet. If an object interferes with the foot before expected, the proprioception from the QDD's will notice and allow the robot to preemptively finish it's trajectory and act compliantly with the object disturbing it.