Motion planning for kinematically overconstrained vehicles using feedback primitives

Proceedings - IEEE International Conference on Robotics and Automation

Volumn 2006, Issue , 2006, Pages 1643-1648

  Murphey, Todd D ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK PRIMITIVES; KINEMATIC MODELING; UNCERTAIN DYNAMICS;

CONSTRAINT THEORY; FEEDBACK; MARTIAN SURFACE ANALYSIS; PROBLEM SOLVING; SYSTEM STABILITY;

MOTION PLANNING;

EID: 33845611608     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2006.1641942     Document Type: Conference Paper

References (35)

1. M. Tarokh and G. McDermott, "Kinematics modeling and analyses of articulated rovers," IEEE Transactions on Robotics, vol. 21, no. 4, pp. 539-553, 2005.
2. K. Böhringer and H. Choset, Eds., Distributed Manipulation. Kluwer, 2000.
3. J. Luntz, W. Messner, and H. Choset, "Closed-loop distributed manipulation using discrete actuator arrays," in Workshop on the Algorithmic Foundations of Robotics (WAFR), 2000.
4. R. Vidal, O. Shakernia, H. Kim, D. Shim, and S. Sastry, "Probabilistic pursuit-evasion games: theory, implementation, and experimental evaluation," IEEE Tran. on Robotics and Automation, vol. 18, no. 5, pp. 662-669, Oct. 2002.
5. L. Yang and S. LaValle, "The sampling-based neighborhood graph: An approach to computing and executing feedback motion strategies," IEEE Tran. on Robotics and Automation, vol. 20, no. 3, pp. 419-432, June 2004.
6. H. Choset, K. Nagatani, and N. Lazar, "Topological simultaneous localization and mapping (slam): toward exact localization without explicit localization," IEEE Transactions on Robotics and Automation, vol. 17, no. 2, pp. 125-137, Apr. 2001.
7. A. Ladd and L. Kavraki, "Measure theoretic analysis of probabilistic path planning," IEEE Tran. on Robotics and Automation, vol. 20, no. 2, pp. 229-242, April 2004.
8. F. Bullo and K. Lynch, "Kinematic controllability and decoupled trajectory planning for underactuated mechanical systems," in IEEE Int. Conf. on Robotics and Automation (ICRA), 2001, pp. 3300-3307.
9. S. Roumeliotis and G. Bekey, "Distributed multirobot localization," IEEE Tran. on Robotics and Automation, vol. 18, no. 5, pp. 781-795, Oct. 2002.
10. F. Bullo, N. E. Leonard, and A. D. Lewis, "Controllability and motion algorithms for underactuated lagrangian systems on lie groups," IEEE Transactions on Automatic Control, vol. 45, no. 8, pp. 1437-1454, Aug. 2000.
11. R. Featherstone, "Modeling and control of contact between constrained rigid bodies," IEEE Tran. on Robotics and Automation, vol. 20, no. 1, pp. 82-92, Feb. 2004.
12. R. Murray, Z. Li, and S. Sastry, A Mathematical Introduction to Robotic Manipulation. CRC Press, 1994.
13. R. Murray and S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Transactions on Automatic Control, vol. 38, pp. 700-716, 1993.
14. _, "Steering nonholonomic systems in chained form," in Proc. Int. Conf. on Decision and Control (CDC), 1991, pp. 1121-1126.
15. J. C. Alexander and J. H. Maddocks, "On the kinematics of wheeled mobile robots," The International Journal of Robotics Research, vol. 8, no. 5, pp. 15-27, October 1989.
16. K. Waldron and C. Hubert, "Control of contact forces in wheeled and legged off-road vehicles," in Preprints, 6th Symp. on Experimental Robotics, Syndney, Australia, March 1999, pp. 265-274.
17. W. Koon and J. Marsden, "The geometric structure of nonholonomic mechanics," in Proc. Int. Conf. on Decision and Control, 1997, pp. 2356-2361.
18. J. Marsden and T. Ratiu, An Introduction to Mechanics and Symmetry. Springer-Verlag, 1992.
19. C. Lanczos, The Variational Principles of Mechanics. Dover, 1986.
20. A. Bloch, P. S. Krishnaprasad, J. Marsden, and R. Murray, "Nonholonomic mechanical systems with symmetry," Arch. Rational Mech. Anal., vol. 136, no. 1, pp. 21-99, 1996.
21. I. Kolmanovsky and N. H. McClamroch, "Developments in nonholonomic control problems," IEEE Control Systems Magazine, pp. 20-36, December 1995.
22. A. Teel, R. Murray, and G. Walsh, "Nonholonomic control systems: From steering to stabilization with sinusoids," Int. J. of Control, vol. 62, no. 4, pp. 849-870, 1995.
23. T. D. Murphey and J. W. Burdick, "A controllability test for multiple model systems," in Proc. IEEE American Controls Conference (ACC), Anchorage, Alaska, 2002.
24. D. R. B.R. Donald, J. Jennings, Algorithmic Foundations of Robotics (WAFR). A.K. Peters, Ltd, Wellesley, MA, 1995, ch. Information invariants for distributed manipulation, pp. 431-459.
25. J. Latombe, Robot Motion Planning. Kluwer Academic Press, 1991.
26. A. Lewis, "Simple mechanical control systems with constraints," IEEE Transactions on Automatic Control, vol. 45, no. 8, pp. 1420-1436, 2000.
27. th IEEE Conf. on Decision and Control, Dec. 1999, pp. 1162-1167.
28. T. D. Murphey and J. W. Burdick, "Kinematic reducibility for multiple model systems," in Proc. IEEE Conf. on Decision and Control (CDC), Maui, Hawaii, 2003, pp. 5307-5313.
29. F. Bullo and A. Lewis, "Low-order controllability and kinematic reductions for affine connection control systems," To appear in SIAM Journal on Control and Optimization, 2004.
30. K. Lynch, N. Shiroma, H. Arai, and K. Tanie, "Collision-free trajectory planning for a 3-dof robot with a passive joint," International Journal of Robotics Research, vol. 19, no. 12, pp. 1171-1184, December 2000.
31. F. Bullo, A. Lewis, and K. Lynch, "Controllable kinematic reductions for mechanical systems: Concepts, computational tools, and examples," Int Symp on Math. Theory of Networks and Systems (MTNS), August 2002.
32. F. Bullo and K. M. Lynch, "Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems," IEEE Transactions on Robotics and Automation, vol. 17, no. 4, pp. 402-412, August 2001.
33. W. Chow, "Über systeme von linearen partiellen differentialgeichungen erster ordinung," Math Ann., vol. 117, pp. 98-105, 1939.
34. F. Rampazzo and H. J. Sussmann, "Set-valued differentials and a nonsmooth version of Chow's theorem," in Proc. of 40th Conf. Decision Control, 2001.
35. M. Erdmann and M. Mason, "An exploration of sensorless manipulation," IEEE Journal of Robotics and Automation, vol. 4, no. 4, 1988.