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Output feedback sliding mode control for robot manipulators

  • Shafiqul Islam (a1) and Peter X. Liu (a1)


In this work, we propose an output feedback sliding mode control (SMC) method for trajectory tracking of robotic manipulators. The design process has two steps. First, we design a stable SMC controller by assuming that all state variables are available. Then, an output feedback version of this SMC design is presented, which incorporates a model-free linear observer to estimate unknown velocity signals. We then show that the tracking performance under the output feedback design can asymptotically converge to the performance achieved under state-feedback-based SMC design. A detailed stability analysis is given, which shows semi-global uniform ultimate boundedness property of all the closed-loop signals. The proposed method is implemented and evaluated on a robotic system to illustrate the effectiveness of the theoretical development.


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1.Tayebi, A. and Islam, S., “Adaptive iterative learning control for robot manipulators: Experimental results,” Control Eng. Pract. 14, 843851 (2006).
2.Tayebi, A. and Islam, S., “Experimental Evaluation of an Adaptive Iterative Learning Control Scheme on a 5-DOF Robot Manipulators,” Proceeding of the IEEE International Conference on Control Applications, Taipei, Taiwan (Sep. 2–4, 2004) pp. 10071011.
3.Teel, A. and Praly, L., “Tools for semi-global stabilization by partial state and output feedback,” SIAM J. Control Optim. 33, 14431488 (1995).
4.Mnasri, C. and Gasmi, M., “Robust Output Feedback Full-Order Sliding Mode Control for Uncertain MIMO Systems,” IEEE International Symposium on Industrial Electronics, Robinson College, University of Cambridge, Cambridge, UK (30 June–2 July, 2008) pp. 11441149.
5.Su, C. Y., Wang, Q., Chen, X., Rakheja, S., “Adaptive variable structure control of a class of nonlinear systems with unknown prandtl-shlinskii hysteresis,” IEEE Trans. Autom. Control 50 (12), 20692074 (2005).
6.Su, C. Y., Leung, T. P. and Zhou, Q. J., “A novel variable structure control scheme for robot trajectory control,” Proc. IFAC Triennial World Congr. 5, 117120 (1990).
7.Wilson, D. G., Parker, G. G., Starr, G. P. and Robinett, R. D., “Output Feedback Sliding Mode Control for a Planar Flexible Manipulator,” Proceedings of the ASCE Specialty Conference on Robotics for Challenging Environments, (1998) pp. 8–14.
8.Asada, H. and Slotine, J. J., Robot Analysis and Control (John Wiley & Sons, New York 1986).
9.Schwartz, H. M. and Islam, S., “An Evaluation of Adaptive Robot Control via Velocity Estimated Feedback,” Proceedings of the International Conference on Control and Applications, Montreal, QC, Canada (May 30–Jun. 1, 2007).
10.Medhaffar, H., Derbel, N. and Damak, T., “A decoupled fuzzy indirect adaptive sliding mode control with application to robot manipulator,” Int. J. Model. Identif. Control 1 (1), 2329 (2006).
11.Pomet, J. B. and Praly, L., “Adaptive nonlinear regulation estimation from the Lyapunov equation,” IEEE Trans. Autom. Control 37, 729740 (1992).
12.Slotine, J. J. E. and Li, W., Applied Nonlinear Control (Englewood Cliffs, NJ, Prentice Hall, 1991).
13.Slotine, J. J. E. and Sastry, S. S., “Tracking control of nonlinear system using sliding surface, with application to robot manipulators,” Int. J. Control 38, 465492 (1983).
14.Daly, J. M. and Wang, D. W. L., “Output feedback sliding mode control in the presence of unknown disturbances,” Systems Control Lett. 58 (3), 188193 (2009).
15.Erbatur, K., Kaynak, O. and Sabanovic, A., “A study on robustness property of sliding mode controllers: A novel design and experimental investigations,” IEEE Trans. Indus. Electron. 46 (5), 10121018 (1993).
16.Meng, M. Q. H. and Lu, W. S., “A Unified Approach to Stable Adaptive Force/Position Control of Robot Manipulators,” Proceeding of the American Control Conference (Jun. 1994).
17.Islam, S. and Liu, P. X., “Adaptive Sliding Mode Control for Robotic System Using Multiple Model Parameters,” IEEE/ASME AIM, Singapore (Jul. 2009).
18.Utkin, V. I., “Variable structure systems with sliding mode,” IEEE Trans. Autom. Control 22, 212222 (1977).
19.Lu, W. S. and Meng, M. Q. H., “Regressor formulation of robot dynamics: Computation and applications,” IEEE Trans. Rob. Autom. 9 (3), 323333 (1993).
20.Lu, X. and Schwartz, H. M., “A revised adaptive fuzzy sliding mode controller for robotic manipulators,” Int. J. Model. Identif. Control 4 (2), 127133 (2008).


Output feedback sliding mode control for robot manipulators

  • Shafiqul Islam (a1) and Peter X. Liu (a1)


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