Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-23T20:34:49.563Z Has data issue: false hasContentIssue false

A modeling method for collision detection and motion planning of robots

Published online by Cambridge University Press:  09 March 2009

Chia-Ju Wu
Affiliation:
Department of Electrical EngineeringNational Yunlin Institute of TechnologyTouliuYunlin 640Taiwan (R.O.C.)

Summary

A modeling method for robots is proposed, in which a convex polyhedron is represented as a set of inequalities and a robot is represented as a union of convex polyhedrons. With this method, collision between robots can be detected by solving a set of linear programming problems at every sampling instant. By detecting possible collision at every sampling instant, a directed graph for robots is created. The motion planning problem of robots is then transformed into a path searching problem in the directed graph and can be solved by exisiting searching algorithms.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1993

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.Hwang, Y. K. and Ahuja, N., “Path planning using a potential field representationProceedings of IEEE International Conference on Robotics and Automation (1988) pp. 648649.Google Scholar
2.Gilbert, E.G. and Johnson, D.W., “Distance functions and their application to robot path planning in the presence of obstaclesIEEE J. Robotics and Automation 1, 2130 (1985).CrossRefGoogle Scholar
3.Kant, K. and Zucker, S.W., “Toward efficient trajectory planning. The path-velocity decomposition,Int. J. Robotics Research 5, 7289 (1986).CrossRefGoogle Scholar
4.Lee, B.H. and Lee, C.S.G., “Collision-free motion planning of two robotsIEEE Transactions on Systems, Man. and Cybernetics 17, 2132 (1987).CrossRefGoogle Scholar
5.Brooks, R.A., “Solving the find-path problem by good representation of free spaceIEEE Transactions on Systems, Man and Cybernetics 13, 190197 (1983).CrossRefGoogle Scholar
6.Brooks, R.A. and Lozano-Perez, T., “A subdivision algorithm in configuration space for findpath with rotationIEEE Transactions on Systems, Man and Cybernetics 15, 224233 (1985).CrossRefGoogle Scholar
7.Lozano-Perez, T., “Spatial planning: A configuration space approachIEEE Transactions on Computers 32, 108120 (1983).CrossRefGoogle Scholar
8.Lozano-Perez, T. and Wesley, M.A., “An algorithm for planning collision-free paths among polyhedral obstaclesCommunications of the ACM 22, 560570 (1979).CrossRefGoogle Scholar
9.Udupa, S.M., “Collision detection and avoidance in computer controlled manipulators” Ph.D. Dissertation (Department of Electrical Engineering, California Institute of Technology, 1977).Google Scholar
10.Chien, R.T., Zhang, L., and Zhang, B., “Planning collision-free paths for robotic arm among obstaclesIEEE Transactions on Pattern Analysis and Machine Intelligence 6, 9196 (1984).CrossRefGoogle ScholarPubMed
11.Iyengar, S.S., Jorgensen, C.C., Rao, S.V.N., and Weisbin, C.R., “Robot navigation algorithms using learned spatial graphsRobotica 4, Part 2, 93100 (1986).CrossRefGoogle Scholar
12.Lumelsky, V.J. and Stepnov, A.A., “Dynamic path planning for a mobile robot automation with limited information on the environmentIEEE Trans, on Automatic Control 31, 10581063 (1986).CrossRefGoogle Scholar
13.Huang, H.P. and Lee, P.C., “A real-time algorithm for obstacle avoidance of autonomous mobile robotsRobotica 10, Part 3, 217227 (1992).Google Scholar
14.Whitesides, S., “Computational geometry and motion planning” In: Computation Geometry, Toussaint, G.T. (ed.) (Elsevier Science Publishers B.V., North-Holland, 1985).Google Scholar
15.Requicha, A.A. G., “Representations for rigid solid: Theory, methods, and systemsComputing Surveys 12, 437464 (1980).CrossRefGoogle Scholar
16.Requicha, A.A.G., “Solid modeling: current status and research directionsIEEE Computer Graphics and Applications 3, 2537 (1983).CrossRefGoogle Scholar
17.Foley, J. D. and Van Dam, A., Fundamentals of Interactive Computer Graphics (Addison-Wesley, Reading, Mass., 1982).Google Scholar
18.Watt, A., Fundamentals of Three-Dimensional Computer Graphics (Addison-Wesley, Reading, Mass., 1989).Google Scholar
19.Craig, J. J., Introduction to Robotics: Mechanics and Control (2nd edition, Addison-Wesley, Reading, Mass., 1989).Google Scholar
20.Horowitz, E. and Sahni, S., Data Structures in Pascal (Computer Science Press, Inc., Maryland, 1984).Google Scholar