Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-24T18:37:24.533Z Has data issue: false hasContentIssue false

Strategies of searching for collision-free manipulator motions: automata theory approach*

Published online by Cambridge University Press:  09 March 2009

Witold Jacak
Affiliation:
Institute of Engineering Cybernetics, Technical University, Janiszewskiego 11/17, 50–370 Wrocław (Poland)

Summary

The paper present a model of the kinematics of a rotary, redundant manipulator, in the form of a Finite State Machine, this is in fact, an example of AI production systems. This model is able to supply us with succesive configurations, calculated immediately in Cartesian space and allowing at the same time to considerably simplify the computations engaged in the graph searching. For an automaton-type model of the manipulator kinematics, diverse strategies of searching for a collision-free trajectory, reduced to a search of an appropriate path in the state-transition graph of FSM, are analyzed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Pieper, D.L., “The kinematics of Manipulator under Computer Control”, Ph.D. Thesis (Stanford University 1968).Google Scholar
2.Nilsson, N.J., Principles of Artificial Intelligence (Tioga Publishing Co., California, 1980).Google Scholar
3.Lozano-Perez, T., “Automatic Planning of Manipulator Transfer Movements”, IEEE Trans. SMC 11, 681698 (1981).Google Scholar
4.Khatib, O., Commande Dynamique dans l'Espace Operationnel des Robots Manipulateurs en Presence d'Obstacles” Ph.D. Thesis (Toulouse, 1980).Google Scholar
5.Ozaki, H. & Mohri, A., “Planning of Collision-free Movements of a Manipulator with Dynamic ConstraintsRobotica 4(3), 163169 (1986).Google Scholar
6.Brooks, R.A., “Planning collision free motions for pick-and-place operationsIntern. J. Robotics Res. 2(4), 1944 (1983).CrossRefGoogle Scholar
7.Gouzenes, L., “Strategies for Solving Collision-free Trajectories Problems for Mobile and Manipulator RobotsIntern. J. Robotics Res. 3(4), 5165 (1984).Google Scholar
8.Lumelsky, V.J., “Continuous motion Planning, in unknown environment for a 3D Cartesian robot armIEEE Conf. on Robotics and Automation 2, 10501055 (1986).Google Scholar
9.Herman, M., “Fast three dimensional collision-free motion planningIEEE Int. Conf. on Robotics and Automation 2, 10571063 (1986).Google Scholar
10.Paul, R.P., Robot Manipulators: Mathematics, Programming and Control (MIT Press, Cambridge, Mass. 1981).Google Scholar
11.Lozano-Perez, T., “Spatial Planning: Configuration Space ApproachIEEE Trans, on Computers 32(2), 108120 (1983).Google Scholar
12.Lozano-Perez, T., “Task Planning” In: Robot Motion: Planning and Control (Ed. Brady, M. et al. ) (MIT Press, Cambridge, Mass., 1983) pp. 463489.Google Scholar
13.Luh, J.Y. & Campbell, C., “Minimum Distance Collision-Free Path Planning for Industrial Robots with a Prismatic JointIEEE Trans. Autom. Control 29(8), 675680 (1984).Google Scholar
14.Gerke, W., “Collision-free and Shortest Path for Industrial Robots Found by Dynamic ProgrammingRobotersysteme 1, 4352 (1985).Google Scholar
15.Jurevic, E.J., The Dynamics of Robots Control (in Russian) (Nauka, Moscow 1984).Google Scholar
16.Jacak, W., Łysakowska, B. & Sierocki, I., “Planning collision-free movements of a robot: A systems theory approachRobotica 6, 289296 (1988).CrossRefGoogle Scholar
17.Yu, Z. & Khalil, W., “Table look up for Collision detection and safe operation of robots” Proc. IFAC Symp. Theory of Robots, Vienna, 407411 (1986).Google Scholar
18.Charniak, E. & McDermot, D., Introduction to Artificial Intelligence (Addison-Wesley Pub. Massachusetts 1985).Google Scholar
19.Lee, D.T. & Preparata, P.P., “Computational Geometry— A surveyIEEE Tran, on Computers 33(12), 10721101 (1984).Google Scholar
20.Dobkin, D.P. & Kirkpatrick, D.G., “Fast detection of polyhedral intersectionTheoret. Comp. Sci. 27, 241253 (1983).Google Scholar
21.Shamos, M.I. & Hoey, D., “Geometric intersection problems” Proc. 17th IEEE Ann. Symp. Found. Comp. Sci. 208215 (1976).Google Scholar
22.Jacak, W. & Sierocki, I., “A discrete model of robot's kinematics” Proc. of IFAC Symp. Theory of Robots, Vienna 2528 (1986).Google Scholar