Continuous path planning via a non-inverting parallel algorithm

The problem of path tracking in robotic manipulators applications is studied in this paper. The path is generated as a sequence of elementary motions. The characteristic feature of our algorithm is that it avoids singularities, because there is no need to use inverse kinematics. Direction and proximity criteria are introduced. The application of parallel processing methods to path tracking according to the previous algorithm is presented. The algorithm is implemented in the Alliant FX/80 parallel machine.

[1]  Shih-Liang Wang,et al.  A Study of the Singular Configurations of Serial Manipulators , 1987 .

[2]  Evgeny Krustev,et al.  Extended kinematic path control of robot arms , 1987, Robotica.

[3]  Daniel E. Whitney,et al.  Resolved Motion Rate Control of Manipulators and Human Prostheses , 1969 .

[4]  Cecil O. Alford,et al.  Solving for manipulator joint rates in singular positions , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[5]  Daniel C. H. Yang,et al.  A New Method for the Singularity Analysis of Simple Six-link Manipulators , 1986 .

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

[7]  Russell H. Taylor,et al.  Planning and execution of straight line manipulator trajectories , 1979 .

[8]  Yoshihiko Nakamura,et al.  Inverse kinematic solutions with singularity robustness for robot manipulator control , 1986 .

[9]  C. Innocenti,et al.  Singularities, Configurations, and Displacement Functions for Manipulators , 1986 .

[10]  Pierre Dauchez.  An easy way of controlling two cooperating robots handling light objects at low speed , 1986, 1986 25th IEEE Conference on Decision and Control.

[11]  Evgeny Krustev,et al.  Kinematic path control of robot arms , 1986, Robotica.

[12]  Richard Paul,et al.  Manipulator Cartesian Path Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  M. Docarmo.  Differential geometry of curves and surfaces , 1976 .

[14]  Joseph Duffy,et al.  Special configurations of spatial mechanisms and robot arms , 1982 .

[15]  D. E. Whitney,et al.  The mathematics of coordinated control of prosthetic arms and manipulators. , 1972 .

[16]  M. Christodoulou,et al.  Co-ordinated path tracking by two robot arms with a noninverting algorithm based on the simplex method , 1990 .

[17]  Motoji Yamamoto,et al.  Planning of manipulator joint trajectories by an iterative method , 1988, Robotica.

[18]  Manfredo P. do Carmo,et al.  Differential geometry of curves and surfaces , 1976 .