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Adaptive control of rigid-link electrically driven robots with parametric uncertainties in kinematics and dynamics and without acceleration measurements

Published online by Cambridge University Press:  20 January 2014

Mahboubeh Ahmadipour
Affiliation:
Department of Power and Control Engineering, Shiraz University, Shiraz, Iran
Alireza Khayatian*
Affiliation:
Department of Power and Control Engineering, Shiraz University, Shiraz, Iran
Maryam Dehghani
Affiliation:
Department of Power and Control Engineering, Shiraz University, Shiraz, Iran
*
*Corresponding author. E-mail: khayatia@shirazu.ac.ir

Summary

In this paper, the backstepping strategy is used to design an adaptive tracking controller for rigid-link electrically driven robots in the presence of parametric uncertainties in kinematics, manipulator dynamics, and actuator dynamics. To avoid acceleration measurements, two techniques are exploited. One technique adds compensation control terms to the control law signal. The other uses a linear in variable property of the Jacobian matrix. Global asymptotic convergence of the end-effector motion tracking errors is shown via Lyapunov analysis. Simulation results are presented to show the effectiveness of the proposed control scheme.

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

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References

1.Slotine, J. J. E. and Li, W., “Adaptive manipulator control: A case study,” IEEE Trans. Autom. Control 33 (11), 9951003 (1988).Google Scholar
2.Li, W. and Slotine, J. J. E., “An indirect adaptive robot controller,” Syst. Control Lett. 12, 259266 (1989).Google Scholar
3.Spong, M. W. and Ortega, R., “On adaptive inverse dynamics control of rigid robots,” IEEE Trans. Autom. Control 35 (1), 9295 (1990).Google Scholar
4.Spong, M. W., “On the robust control of robot manipulators,” IEEE Trans. Autom. Control 37 (11), 17821786 (1992).Google Scholar
5.Canudas De Wit, C. and Fixot, N., “Adaptive control of robot manipulators via velocity estimated feedback,” IEEE Trans. Autom. Control 37 (8), 12341237 (1992).Google Scholar
6.Dawson, D. M., Qu, Z. and Carroll, J. J., “Tracking control of rigid-link electrically-driven robot manipulators,” Int. J. Control 56 (5), 9911006 (1992).Google Scholar
7.Kwan, C., Lewis, F. L. and Dawson, D. M., “Robust neural-network control of rigid-link electrically driven robots,” IEEE Trans. Neural Netw. 9 (4), 581588 (1998).Google Scholar
8.Kelly, R., “Adaptive computed torque plus compensation control for robot manipulators,” Mech. Mach. Theory 25 (2), 161165 (1990).Google Scholar
9.Cheah, C. C., Kawamura, S. and Arimoto, S., “Feedback Control for Robotic Manipulator with Uncertain Kinematics and Dynamics,” Proceedings of the IEEE International Conference on Robotics and Automation, Leuven, Belgium (1998) pp. 36073612.Google Scholar
10.Yazarel, H. and Cheah, C. C., “Task space adaptive control of robotic manipulators with uncertainties in gravity regressor matrix and kinematics,” IEEE Trans. Autom. Control 47 (9), 15801585 (2002).Google Scholar
11.Cheah, C. C., “Approximate Jacobian Robot Control with Adaptive Jacobian Matrix,” Proceedings of the IEEE International Conference on Decision and Control, Maui, HI, USA (2003) pp. 58595864.Google Scholar
12.Cheah, C. C., Liu, C. and Slotine, J. J. E., “Approximate Jacobian Adaptive Control for Robot Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, New Orleans, LA, USA (2004) pp. 30753080.Google Scholar
13.Cheah, C. C., Liu, C. and Slotine, J. J. E., “Adaptive Jacobian Tracking Control of Robots Based on Visual Task-Space Information,” Proceedings of the IEEE International Conference on Robotics and Automation, Barcelona, Spain (2005) pp. 34983503.Google Scholar
14.Wang, H. and Xie, Y., “Adaptive inverse dynamic control of robots with uncertain kinematics and dynamics,” Automatica 45, 21142119 (2009).CrossRefGoogle Scholar
15.Wang, H. and Xie, Y., “Prediction error based adaptive Jacobian tracking of robots with uncertain kinematics and dynamics,” IEEE Trans. Autom. Control 54 (12), 28892894 (2009).Google Scholar
16.Dixon, W. E., “Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics,” IEEE Trans. Autom. Control 52 (3), 488493 (2007).CrossRefGoogle Scholar
17.Good, M. C., Sweet, L. M. and Strobel, K. L., “Dynamic models for control system design of integrated robot and drive systems,” ASME J. Dyn. Syst. Measurement Control 107, 5359 (1985).Google Scholar
18.Liu, C. and Cheah, C. C., “Adaptive Regulation of Rigid-Link Electrically Driven Robots with Uncertain Kinematics,” Proceedings of the IEEE International Conference on Robotics and Automation, Barcelona, Spain (2005) pp. 32623267.Google Scholar
19.Liu, C. and Poignet, P., “SP-ID Regulation of Rigid-Link Electrically-Driven Robots with Uncertain Kinematics,” Proceedings of the IEEE International Conference on Robotics and Automation, Anchorage, AK, USA (2010) pp. 46634668.Google Scholar
20.Liu, C., Cheah, C. C. and Slotine, J. J. E., “Adaptive Jacobian tracking control of rigid-link electrically driven robots based on visual task-space information,” Automatica 42, 14911501 (2006).Google Scholar
21.Craig, J. J., Introduction to Robotics: Mechanics and Control, 3rd ed. (Prentice Hall, Upper Saddle River, NJ, 2005).Google Scholar
22.Tarn, T. J., Bejczy, A. K., Yun, X. and Li, Z., “Effect of motor dynamics on nonlinear feedback robot arm control,” IEEE Trans. Robot. Autom. 7 (1), 114122 (1991).CrossRefGoogle Scholar
23.Sciavicco, L. and Siciliano, B., Modeling and Control of Robot Manipulators (McGraw-Hill, New York, 1996).Google Scholar
24.Canudas De Wit, C., Siciliano, B. and Bastin, G., Theory of Robot Control (Springer, Berlin, 1996).Google Scholar
25.Desoer, C. A. and Vidyasagar, M., Feedback Systems: Input-Output Properties (Academic Press, New York, 1975).Google Scholar
26.Khalil, H., Nonlinear Systems, 3rd ed. (Prentice Hall, Upper Saddle River, NJ, 2002).Google Scholar
27.Krstic, M., Kanellakopoulos, I. and Kokotovic, P., Nonlinear and Adaptive Control Design (John Wiley, New York, 1995).Google Scholar