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Robot path planning based on modified grey relational analysis. (English) Zbl 1032.93050
A path finding procedure is suggested for the computation of a collision-free path of a robot among circular obstacles in a work space. The problem is formulated as a nonlinear programming problem and is solved by applying a solution procedure involving several trials and different search stages. Some simulation results are presented.
93C85 Automated systems (robots, etc.) in control theory
93C41 Control/observation systems with incomplete information
90C30 Nonlinear programming
Full Text: DOI
[1] DOI: 10.1016/S0734-189X(86)80047-0 · doi:10.1016/S0734-189X(86)80047-0
[2] DOI: 10.1080/00207729608929278 · Zbl 0854.93091 · doi:10.1080/00207729608929278
[3] DOI: 10.1016/S0167-6911(82)80025-X · Zbl 0482.93003 · doi:10.1016/S0167-6911(82)80025-X
[4] Deng J., The Journal of Grey Systems 1 pp 1– (1989)
[5] Fletcher R, Practical Methods of Optimisation (1987)
[6] DOI: 10.1080/00207729308949477 · Zbl 0772.90060 · doi:10.1080/00207729308949477
[7] DOI: 10.1016/0165-0114(95)00083-6 · doi:10.1016/0165-0114(95)00083-6
[8] DOI: 10.1080/00207729708929358 · Zbl 0875.93234 · doi:10.1080/00207729708929358
[9] DOI: 10.1007/978-1-4615-4022-9 · doi:10.1007/978-1-4615-4022-9
[10] DOI: 10.1016/S0165-0114(95)00015-1 · doi:10.1016/S0165-0114(95)00015-1
[11] Lu H. C., The Journal of Grey System 10 pp 87– (1998)
[12] Jarvis R, Recent Trends in Mobile Robots pp 3– (1993)
[13] DOI: 10.1109/70.163777 · doi:10.1109/70.163777
[14] DOI: 10.1007/BF00309656 · Zbl 05476433 · doi:10.1007/BF00309656
[15] DOI: 10.1109/70.563653 · doi:10.1109/70.563653
[16] DOI: 10.1049/ip-cta:19971029 · Zbl 0875.93293 · doi:10.1049/ip-cta:19971029
[17] Connoly, C. L, Burns, J. B. and Weiss., R. Path planning using Laplace’s equation. Proceedings of the IEEE International Conference on Robot and Automation. Cincinnati, OH. Vol. 1, pp.2102–2106.
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