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Volumn 16, Issue 6, 1997, Pages 826-839

Optimal trajectory planning for mobile robots using jacobian elliptic functions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; CONTROL THEORY; MOTION PLANNING; OPTIMIZATION; TRAJECTORIES;

EID: 0031372885     PISSN: 02783649     EISSN: None     Source Type: Journal    
DOI: 10.1177/027836499701600607     Document Type: Article
Times cited : (15)

References (32)
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    • (Sacramento, CA).
    • Brockett, R. W., and Dai, L., 1991 (Sacramento, CA). Nonholonomic kinematics and the role of elliptic functions in constructive controllability (workshop on nonholonomic motion planning). In IEEE International Conference on Robotics and Automation.
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    • Brockett, R.W.1    Dai, L.2
  • 6
    • 3643062316 scopus 로고
    • Path following of a 2-DOF wheeled mobile robot under kinematic constraints
    • (Grenoble, France).
    • Canudas de Wit, C., and Samson, C. 1991 (Grenoble, France). Path following of a 2-DOF wheeled mobile robot under kinematic constraints. In Proceedings of the First European Control Conference, pp. 2084-2088.
    • (1991) Proceedings of the First European Control Conference , pp. 2084-2088
    • Canudas De Wit, C.1    Samson, C.2
  • 8
    • 0000977157 scopus 로고
    • On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents
    • Dubins, L. E. 1957. On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents. Am. J. Math. 79:497-516.
    • (1957) Am. J. Math. , vol.79 , pp. 497-516
    • Dubins, L.E.1
  • 16
    • 0342776935 scopus 로고
    • Motion planning for controllable systems without drift: A preliminary report
    • Rutgers Center for Systems and Control
    • Lafferiere, G., and Sussman, H. J. 1990. Motion planning for controllable systems without drift: a preliminary report. Technical Report SYSCON-90-4, Rutgers Center for Systems and Control.
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    • Lafferiere, G.1    Sussman, H.J.2
  • 17
    • 0002034760 scopus 로고
    • Singularities and topological aspects in nonholonomic motion planning
    • Li, Z. X., and Canny, J. (eds.), New York: Kluwer
    • Laumond, J. P. 1992. Singularities and topological aspects in nonholonomic motion planning. In Li, Z. X., and Canny, J. (eds.), Nonholonomic Motion Planning. New York: Kluwer.
    • (1992) Nonholonomic Motion Planning
    • Laumond, J.P.1
  • 18
    • 0027851091 scopus 로고
    • Controllability of a multibody mobile robot
    • Laumond, J. P. 1993. Controllability of a multibody mobile robot. IEEE Trans. Robot. Automat. 9(6):755-763.
    • (1993) IEEE Trans. Robot. Automat. , vol.9 , Issue.6 , pp. 755-763
    • Laumond, J.P.1
  • 22
    • 0027590367 scopus 로고
    • Nonholonomic motion planning: Steering using sinusoids
    • Murray, R. M., and Sastry, S. S. 1991. Nonholonomic motion planning: steering using sinusoids. IEEE Trans. Automatic Control 38(5):700-713.
    • (1991) IEEE Trans. Automatic Control , vol.38 , Issue.5 , pp. 700-713
    • Murray, R.M.1    Sastry, S.S.2
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    • Optimal paths for a car that goes both forward and backward
    • Reeds, J. A., and Shepp, R. A. 1990. Optimal paths for a car that goes both forward and backward. Pacific J. Math. 145(2):367-393.
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    • Reeds, J.A.1    Shepp, R.A.2
  • 27
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    • Mobile robot control, part 1: Feedback control of a nonholonomic wheeled cart in Cartesian space
    • INRIA Sophia-Antipolis
    • Samson, C., and Ait-Abderrahim, K. 1990. Mobile robot control, part 1: feedback control of a nonholonomic wheeled cart in Cartesian space. Technical Report 1288, INRIA Sophia-Antipolis.
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    • Samson, C.1    Ait-Abderrahim, K.2
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    • Shortest paths for the Reeds-Shepp car: A worked out example of the use of geometric techniques in nonlinear optimal control
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    • Sussmann, H. J., and Tang, Q. 1991. Shortest paths for the Reeds-Shepp car: a worked out example of the use of geometric techniques in nonlinear optimal control. Technical Report SYCON-91-10, Rutgers University.
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    • Sussmann, H.J.1    Tang, Q.2
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    • A multisteering trailer system: Conversion into chained form using dynamic feedback
    • Tilbury, D., Sordalen, O. J., Bushnell, L., and Sastry, S. S. 1995. A multisteering trailer system: conversion into chained form using dynamic feedback. IEEE Trans. Robot. Automat. 11(6):807-818.
    • (1995) IEEE Trans. Robot. Automat. , vol.11 , Issue.6 , pp. 807-818
    • Tilbury, D.1    Sordalen, O.J.2    Bushnell, L.3    Sastry, S.S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.