Numerical complexity of decentralized dynamic control laws for manipulator systems

SUMMARY The numerical complexity of robot dynamic models, inverse control structures and decentralized control laws is analyzed in a systematic fashion. Dynamic models of actuators (DC motors and hydraulic cylinders) are taken into account, too. The exact number of floating-point multiplications and additions/subtractions for an n −link manipulator is determined. The results are applied to several typical industrial manipulators. Measuring of computation time for various control structures is realized on an up-to-date 16-bit microcomputer, widely used in robot controllers. Thereby, the real-time applicability and effectively the “price” of different control laws are estimated.

[1]  Richard Paul Collins Paul,et al.  Modelling, trajectory calculation and servoing of a computer controlled arm , 1972 .

[2]  Miomir Vukobratović,et al.  Scientific Fundamentals of Robotics 6 , 1985 .

[3]  J. S. Luh,et al.  Joint torque control by a direct feedback for industrial robots , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[4]  Dragan Stokic,et al.  Control of Manipulation Robots , 1982 .

[5]  A. Bejan,et al.  Natural Convection in Horizontal Duct Connecting Two Fluid Reservoirs , 1981 .

[6]  M. Vukobratovic,et al.  Computer-assisted generation of robot dynamic models in an analytical form , 1985 .

[7]  R. Paul Robot manipulators : mathematics, programming, and control : the computer control of robot manipulators , 1981 .

[8]  George N. Saridis,et al.  An Approximation Theory of Optimal Control for Trainable Manipulators , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  M. Vukobratovic,et al.  One Engineering Concept of Dynamic Control of Manipulators , 1981 .

[10]  A. Bejczy Robot arm dynamics and control , 1974 .

[11]  John M. Hollerbach,et al.  A Recursive Lagrangian Formulation of Manipulator Dynamics , 1980 .

[12]  M. Vukobratović,et al.  Is Dynamic Control Needed in Robotic Systems, and, if So, to What Extent? , 1983 .

[13]  M. H. Raibert,et al.  Manipulator control using the configuration space method , 1978 .

[14]  Suguru Arimoto,et al.  Stability and robustness of PID feedback control for robot manipulators of sensory capability , 1984 .