Structural properties and classification of kinematic and dynamic models of wheeled mobile robots

IEEE Transactions on Robotics and Automation

Volumn 12, Issue 1, 1996, Pages 47-62

  Campion, Guy ^a   Bastin, Georges ^a   D'Andréa Novel, Brigitte ^b  

^a Catholic University of Louvain   (Belgium)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; CONTROLLABILITY; DYNAMICS; FEEDBACK; KINEMATICS; MATHEMATICAL MODELS; ROBOTICS; STATE SPACE METHODS; SYSTEM STABILITY;

FEEDBACK EQUIVALENCE; GENERIC STRUCTURES; MOTORIZATION; NONHOLONOMIC SYSTEMS; REDUCIBILITY; STRUCTURAL PROPERTIES; WHEELED MOBILE ROBOTS;

MOBILE ROBOTS;

EID: 0030081857     PISSN: 1042296X     EISSN: None     Source Type: Journal    
DOI: 10.1109/70.481750     Document Type: Article

References (27)

1. G. Bastin and G. Campion, "On adaptive linearizing control of omni-directional mobile robots," in Proc. MTNS 89, Progress in Systems and Control Theory 4, Amsterdam, vol. 2, pp. 531-538.
2. C. Samson and K. Ait-Abderahim, "Feedback control of a nonholonomic wheeled cart in cartesian space," in Proc. 1991 IEEE Int. Conf. Robotics and Automation, Sacramento, CA, Apr. 1991, pp. 1136-1141.
3. C. Canudas de Wit and O. J. Sordalen, "Exponential stabilization of mobile robots with nonholonomic constraints," in IEEE Conf. Decision and Control, Brighton, England, Dec. 1991, pp. 692-697.
4. J. P. Laumond, "Controllability of a multibody mobile robot," ICAR, Pisa, Italy, 1991, pp. 1033-1038.
5. E. Badreddin and M. Mansour, "Fuzzy-tuned state-feedback control of a nonholonomic mobile robot," in IFAC World Congr., Sidney, Australia, 1993, pp. II 212-215.
6. R. M. Murray and S. S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Trans. Automat. Contr., vol. 38, pp. 700-716, May 1993.
7. P. Rouchon, M. Fliess, J. Lévine, and P. Martin, "Flatness and motion planning: The car with n trailers," in Proc. European Control Conf. 93, Groningen, The Netherlands, pp. 1518-1522.
8. J. B. Pomet B. Thuillot, G. Bastin, and G. Campion, "A hybrid strategy for the feedback stabilization of nonholonomic mobile robots," in IEEE Int. Conf Robotics and Automation, Nice, France, 1992, pp. 129-135.
9. P. F. Muir and C. P. Neuman, "Kinematic modeling for feedback control of an omnidirectional wheeled mobile robot," in Proc. IEEE Conf. Robotics and Automation, 1987, pp. 1772-1778.
10. S. M. Killough and F. G. Pin, "Design of an omnidirectional and holonomic wheeled platform design," in Proc. IEEE Conf. Robotics and Automation, Nice, France, 1992, pp. 84-90.
11. B. d'Andréa-Novel, G. Bastin, and G. Campion, "Modeling and Control of nonholonomic wheeled mobile robots," in Proc. IEEE Conf. Robotics and Automation, Sacramento, CA, 1991, pp. 1130-1135.
12. P. F. Muir and C. P. Neuman, "Kinematic modeling of wheeled mobile robots," J. Robotic Syst., vol. 4, no. 2, pp. 281-329, 1987.
13. J. C. Alexander and J. H. Maddocks, "On the kinematics of wheeled mobile robots," Int. J. Robotics Res., vol. 8, no. 5, pp. 15-27, 1989.
14. C. Helmers, "Ein Hendenleben, (or, A hero's life)," Robotics Age, vol. 5, no 2, pp. 7-16, Mar. 1983.
15. C. Balmer, "Avatar: A home built robot," Robotics Age, vol. 4, no 1, pp. 20-25, Jan. 1988.
16. J. M. Holland, "Rethinking robot mobility," Robotics Age, vol. 7, no 1, pp. 26-30, Jan. 1988.
17. H. Nijmeijer and A. J. Van der Schaft, Nonlinear Dynamical Control Systems. New York: Springer-Verlag, 1990.
18. A. Isidori, Nonlinear Control Systems. Berlin: Springer-Verlag 1989.
19. R. Marino, "On the largest feedback linearizable subsystem," Syst. Contr. Lett., vol. 6, pp. 345-351, 1986.
20. P. Martin, "Contribution à l'étude des systèmes différentiellement plats," Ph.D. Thessis, Ecole Nationale Supérieure des Mines de Paris, 1992.
21. B. d'Andréa-Novel, Campion G., and Bastin G., "Control of nonholonomic wheeled mobile robots by state feedback linearization," to appear in J. Robotics Res.
22. R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. W. Brockett, R. S. Millmann, and H. J. Sussmann, Eds. Boston: Birkhauser, 1983, pp. 181-191.
23. J. M. Coron, "Global asymptotic stabilization for controllable systems without drift," M.C.S.S. vol. 5, pp. 295-312, 1992.
24. J. B. Pomet, "Explicit design of time-varying stabilizing control laws for a class of time varying controllable systems whithout drift," Syst. Contr. Lett., vol. 18, pp. 147-158, 1992.
25. G. Campion, B. d'Andréa-Novel, and G. Bastin, "Controllability and state feedback stabilization of nonholonomic mechanical systems," Advanced Robot Control, Lecture Notes in Control and Information Sciences, no. 162, pp. 106-124, 1990.
26. A. M. Bloch, N. H. McClamroch, and M. Reyhanoglu, "Control and stabilization of nonholonomic dynamic systems," IEEE Trans. Automat. Contr., vol. 37, pp. 1746-1757, 1992.
27. G. Campion, B. d'Andréa-Novel, and G. Bastin, "Modeling and state feedback control of nonholonomic mechanical systems," in IEEE Conf. Decision and Control, Brighton, England, 1991, pp. 1184-1189.