Full-state tracking and internal dynamics of nonholonomic wheeled mobile robots

IEEE/ASME Transactions on Mechatronics

Volumn 8, Issue 2, 2003, Pages 203-214

  Wang, Danwei ^a   Xu, Guangyan ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Nonholonomic dynamics; Tracking stability; Wheeled mobile robots; Zero dynamics

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; DYNAMIC RESPONSE; FEEDBACK CONTROL; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY; TRACKING (POSITION); TRAJECTORIES;

NONHOLONOMIC DYNAMICS;

MOBILE ROBOTS;

EID: 0037525196     PISSN: 10834435     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMECH.2003.812832     Document Type: Article

References (21)

1. R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. W. Brockett, R. S. Millmann, and H. J. Sussmann, Eds. Berlin, Germany: Birkhauser, 1983, pp. 181-191.
2. J. Zabczyk, "Some comments on stabilizability," Int. J. App. Math. Optim., vol. 19, pp. 1-9, 1989.
3. C. C. de Wit and O. J. Sørdalen, "Exponential stabilization of mobile robots with nonholonomic constraints," IEEE Trans. Automat. Contr., vol. 37, pp. 1791-1797, Nov. 1992.
4. A. Astolfi, "Discontinuous control of nonholonomic systems," Syst. Contr. Lett., vol. 27, pp. 37-45, 1996.
5. J.-B. Pomet, "Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift," Syst. Contr. Lett., vol. 18, pp. 147-158, 1992.
6. C. Samson, "Control of chained systems. Application to path following and time-varying point stabilization of mobile robots," IEEE Trans. Automat. Contr., vol. 40, pp. 64-70, Jan. 1995.
7. O. J. Sørdalen and O. Egeland, "Exponential stabilization of nonholonomic chained systems," IEEE Trans. Automat. Contr., vol. 40, pp. 35-49, Jan. 1995.
8. R. T. M'Closkey and R. M. Murry, "Exponential stabilization of driftless nonlinear control systems using homogeneous feedback," IEEE Trans. Automat. Contr., vol. 42, pp. 614-628, May 1997.
9. N. Sarkar, X. P. Yun, and V. Kumar, "Control of mechanical systems with rolling constraints: Applications to dynamic control of mobile robots," Int. J. Robot. Res., vol. 13, pp. 55-69, 1994.
10. C. Y. Su and Y. Stepanenko, "Robust motion/force control of mechanical systems with classical nonholonomic constraints," IEEE Trans. Automat. Contr., vol. 39, pp. 609-614, Mar. 1994.
11. G. Campion, G. Bastin, and B. d'Andréa Novel, "Structural properties and classification of kinematic and dynamic models of wheeled mobile robots," IEEE Trans. Robot. Automat., vol. 12, pp. 47-62, Feb. 1996.
12. S. V. Gusev, I. A. Makarov, I. E. Paromtchik, and C. Laugier, "Adaptive motion control of nonholonomic vehicle," in Proc. 1998 Int. Conf. Robotics and Automation, Leuven, Belgium, May 1998, pp. 3285-3290.
13. J. M. Yang and J. H. Kim, "Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots," IEEE Trans. Robot. Automat., vol. 15, pp. 578-587, June 1999.
14. Y. Kanayamaa, Y. Kimura, F. Miyazaki, and T. Noguchi, "A stable tracking control method for an autonomous mobile robot," in Proc. 1990 Int. Conf. Robotics and Automation, 1990, pp. 384-389.
15. G. C. Walsh, D. Tilbury, S. Sastry, R. Murray, and J. P. Laumond, "Stabilization of trajectory for systems with nonholonomic constraints," IEEE Trans. Automat. Contr., vol. 39, pp. 216-222, Jan. 1994.
16. Z. P. Jiang and H. Nijmeijer, "A recursive technique for tracking control of nonholonomic systems in chained form," IEEE Trans. Automat. Contr., vol. 44, pp. 265-279, Feb. 1999.
17. X. P. Yun and Y. Yamamoto, "Stability analysis of the internal dynamics of a wheeled mobile robot," J. Robot. Syst., vol. 14, no. 10, pp. 697-709, 1997.
18. B. d'Andréa Novel, G. Campion, and G. Bastin, "Control of nonholonomic wheeled mobile robots by state feedback linearization," Int. J. Robot. Res., vol. 14, pp. 543-559, 1995.
19. A. Isidori, Nonlinear Control System, 2nd ed. Berlin, Germany: Springer-Verlag, 1989.
20. J.-J. E. Slotine and W. P. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
21. K. S. Tsakalis and P. A. Ioannou, Linear Time-Varying Systems Control and Adaptation. Englewood Cliffs, NJ: Prentice-Hall, 1993.