Optimal/PID formulation for control of robotic manipulators

An optimal control formulation for robotic manipulators is proposed in this paper. The Computed Torque Control, Resolved Acceleration Control, and a PID End Point Control are derived as special cases of this formulation. Torque and acceleration feedback are adopted to eliminate the on-line calculations of feed forward components in the above control algorithms, and to increase robustness of the control system. This controller can be implemented approximately without torque sensors and accelerometers. The resulting control system is proved to be bounded input bounded state stable. Simulation results on both the Scheinman MIT and PUMA 600 arms are presented.