The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Nonholonomic motion planning: steering using sinusoids
Abstract
Methods for steering systems with nonholonomic c.onstraints between arbitrary configurations are investigated. Suboptimal trajectories are derived for systems that are not in canonical form. Systems in which it takes more than one level of bracketing to achieve controllability are considered. The trajectories use sinusoids at integrally related frequencies to achieve motion at a given bracketing level. A class of systems that can be steered using sinusoids (claimed systems) is defined. Conditions under which a class of two-input systems can be converted into this form are given.>
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Cites
Mathematical Methods of Classical Mechanics
Arnold, V. I. (1989) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-2063-1 · Cited by 9,116
Real-Time Obstacle Avoidance for Manipulators and Mobile Robots
Khatib, O. (1986) · The International Journal of Robotics Research · doi:10.1177/027836498600500106 · Cited by 7,894
Isidori, A. (1989) · Springer eBooks · doi:10.1007/978-3-662-02581-9 · Cited by 7,869
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A Comprehensive Introduction to Differential Geometry.
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Nonlinear Dynamical Control Systems
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Jacob, M. (1989) · Health Education Journal · doi:10.1177/001789698904800401 · Cited by 3,090
Nonlinear controllability and observability
Hermann, R., & Krener, A. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101601 · Cited by 2,374
An Introduction to Differentiable Manifolds and Riemannian Geometry
(1975) · Pure and Applied Mathematics · doi:10.1016/s0079-8169(08)x6065-9 · Cited by 1,778
Real-time obstacle avoidance for manipulators and mobile robots
Khatib, O. (2005) · Proceedings. 1985 IEEE International Conference on Robotics and Automation · doi:10.1109/robot.1985.1087247 · Cited by 1,757
Cited by
Randomized Kinodynamic Planning
LaValle, S. M., & Kuffner, J. J. (2001) · The International Journal of Robotics Research · doi:10.1177/02783640122067453 · Cited by 3,254
Spong (1998) · doi:10.1007/bfb0015081 · Cited by 437
Metadata
- Authors
- Murray, R. M., & Sastry, S. S.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1993-05
- Volume
- 38
- Issue
- 5
- Pages
- 700-716
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2133361850
- Cited by
- 1,771
- References
- 36
- FWCI
- 68.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- Murray, R. M., & Sastry, S. S. (1993). Nonholonomic motion planning: steering using sinusoids. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.277235
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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