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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
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[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
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