×

Continuous finite-time control for robotic manipulators with terminal sliding mode. (English) Zbl 1125.93423

Summary: A continuous finite-time control scheme for rigid robotic manipulators is proposed using a new form of terminal sliding modes. The robustness of the controller is established using the Lyapunov stability theory. Theoretical analysis and simulation results show that faster and high-precision tracking performance is obtained compared with the conventional continuous sliding mode control method.

MSC:

93C85 Automated systems (robots, etc.) in control theory
93B12 Variable structure systems
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Barambones, O.; Etxebarria, V., Robust sliding composite adaptive control for mechanical manipulators with finite error convergence time, International Journal of Systems Science, 32, 9, 1101-1108 (2001) · Zbl 1020.70003
[2] Barambones, O.; Etxebarria, V., Energy-based approach to sliding composite adaptive control for rigid robots with finite error convergence time, International Journal of Control, 75, 5, 352-359 (2002) · Zbl 1034.93042
[3] Feng, Y.; Yu, X.; Man, Z., Non-singular terminal sliding mode control of rigid manipulators, Automatica, 38, 12, 2159-2167 (2002) · Zbl 1015.93006
[4] Haimo, V. T., Finite time controllers, SIAM Journal of Control and Optimization, 24, 4, 760-770 (1986) · Zbl 0603.93005
[5] Hong, Y.; Huang, J.; Xu, Y., On an output finite-time stabilization problem, IEEE Transactions on Automatic Control, 46, 2, 305-309 (2001) · Zbl 0992.93075
[6] Hong, Y.; Xu, Y.; Huang, J., Finite-time control for robot manipulators, Systems & Control Letters, 46, 4, 243-253 (2002) · Zbl 0994.93041
[7] Parra-Vega, V.; Hirzinger, G., Chattering-free sliding mode control for a class of nonlinear mechanical systems, International Journal of Robust and Nonlinear Control, 11, 12, 1161-1178 (2001) · Zbl 1001.93012
[8] Sage, H. G.; De Mathelin, M. F.; Ostertag, E., Robust control of robot manipulators: A survey, International Journal of Control, 72, 16, 1498-1522 (1999) · Zbl 0941.93501
[9] Tang, Y., Terminal sliding mode control for rigid robots, Automatica, 34, 1, 51-56 (1998) · Zbl 0908.93042
[10] Yu, X.; Man, Z., Multi-input uncertain linear systems with terminal sliding-mode control, Automatica, 34, 3, 389-392 (1998) · Zbl 0915.93012
[11] Yu, X.; Man, Z., Fast terminal sliding-mode control design for nonlinear dynamical systems, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49, 2, 261-264 (2002) · Zbl 1368.93213
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.