Reduced order model and robust control architecture for mechanical systems with nonholonomic Pfaffian constraints

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 29, Issue 3, 1999, Pages 307-313

  Su, Chun Yi ^a,b   Stepanenko, Yury ^c   Goldenberg, A A ^a,d  

^a IEEE

^b Gina Cody School of Engineering and Computer Science   (Canada)

^c UNIVERSITY OF VICTORIA   (Canada)

^d UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FORCE CONTROL; MATHEMATICAL MODELS; NUMERICAL METHODS; POSITION CONTROL; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

MECHANICAL SYSTEMS; NONHOLONOMIC PFAFFIAN CONSTRAINTS;

CONTROL SYSTEM SYNTHESIS;

EID: 0032689814     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.759286     Document Type: Article

References (24)

1. A. M. Bloch, M. Reyhanoglu, and N. H. McClamroch, "Control and stabilization of nonholonomic dynamic systems," IEEE Trans. Automat. Contr., vol. 37, pp. 1746-1757, 1992.
2. G. Campion, B. d'Andrea-Novel, and G. Bastin, "Controllability and state feedback stabilizability of non holonomic mechanical systems," in Advanced Robot Control, C. Canudas de Wit, Ed. Berlin, Germany: Springer-Verlag, 1991, pp. 106-124.
3. A. M. Bloch, "Stabilizability of nonholonomic control systems," Automatica, vol. 28, pp. 431-435, 1992.
4. A. Kapitanovsky, A. A. Goldenberg, and J. K. Mills, "Dynamic control and motion planning technique for a class of nonlinear systems with drift," Syst. Contr. Lett., vol. 21, pp. 363-369, 1993.
5. R. M. Murray and S. S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Trans. Automat. Contr., vol. 38, pp. 700-716, 1993.
6. A. J. Koivo and S. H. Arnautovic, "Control of redundant manipulators with constraints using a reduced order model," Automatica, vol. 30, pp. 665-677, 1994.
7. N. Sarkar, X. Yun, and V. Kumar, "Control of a single robot in a decentralized multi-robot system," in Proc. 1994 IEEE Int. Conf. Robotics Automation, 1994, pp. 896-901.
8. R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. New York: Birkhauser, 1983.
9. Ju. I. Neimark and N. A. Fufaev, "Dynamics of nonholonomic systems," Transl. Math. Monogr., vol. 33, 1972.
10. R. M. Rosenberg, Analytical Dynamics of Discrete Systems. New York: Plenum, 1977.
11. A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden, and R. M. Murray, "Nonholonomic mechanical systems with symmetry," Tech. Rep. CDS 94-013, Calif. Inst. Technol., Pasadena, June 1995.
12. N. Sarkar, X. Yun, and V. Kumar, "Control of contact interactions with acatastatic nonholonomic constraints," Int. J. Robot. Res., vol. 16, pp. 357-374, 1997.
13. R. E. Kalaba and F. E. Udwadia, "Equations of motion for nonholonomic, constrained dynamical systems via Gauss's principle," J. Appl. Mech., vol. 60, pp. 662-668, 1993.
14. J. P. Laumond, "Feasible trajectories for mobile robots with kinematic and environment constraints," in Int. Conf. Intelligent Autonomous Systems, 1986, pp. 346-354.
15. C. Samson, "Velocity and torque feedback control of a nonholonomic cart," in Advanced Robot Control, C. Canudas de Wit, Ed. Berlin, Germany: Springer-Verlag, 1991, pp. 125-151.
16. J.-M. Corron, "Global asymptotic stabilization for controllable systems without drift," Math. Contr., Signals, Syst., vol. 5, pp. 295-315, 1991.
17. J.-P. 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.
18. C. Canudas de Wit and O. J. Sørdalen, "Exponential stabilization of mobile robots with nonholonomic constraints," IEEE Trans. Automat. Contr., vol. 37, pp. 1791-1797, 1992.
19. J. B. Pomet, B. Thuilot, G. Bastin, and G. Campion, "A hybrid strategy for the feedback stabilization of nonholonomic mobile robots," in Proc. 1992 IEEE Int. Conf. Robotics Automation, 1992, pp. 129-134.
20. R. P. Singh and P. W. Likins, "Singular value decomposition for constrained dynamical systems," J. Appl. Mech., vol. 52, pp. 943-948, 1985.
21. M. W. Spong, "On the robust control of robot manipulators," IEEE Trans. Automat. Contr., vol. 37, pp. 1782-1786, 1992.
22. G. Oriolo and Y. Nakamura, "Control of mechanical systems with second-order nonholonomic constraints: underactuated manipulators," in Proc. 30th Conf. Decision Control, 1991, pp. 2398-2403.
23. J. J. E. Slotine and W. Li, "On the adaptive control of robot manipulator," Int. J. Robot. Res., vol. 6, pp. 49-59, 1987.
24. C.-Y. Su and T.-P. Leung, "A sliding mode controller with bound estimation for robot manipulator," IEEE Trans. Robot. Automat., vol. 9, pp. 208-214, 1993.