Pose control for physically simulated characters has typically been based on proportional-derivative (PD) controllers. In this paper, we introduce a novel, analytical solution to the 2nd-order ordinary differential equation governing PD control. The analytic solution is tailored to the needs of pose control for animation, and provides significant improvement in the precision of control, particularly for simulated characters in dynamic conditions.
Brian F. Allen, Michael Neff, Petros Faloutsos