Discrete actuator array vectorfield design for distributed manipulation

The modular distributed manipulator system (MDMS) is a macroscopic actuator array which can manipulate objects in the plane. The piecewise-constant dynamics of manipulation on the MDMS are developed based on an exact discrete representation of the system. The resulting dynamics are inverted enabling the calculation of an open-loop vectorfield which provides arbitrary uniform object dynamics. The vector field positions, and under certain assumptions, orients objects.