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Robust adaptive output feedback tracking control for flexible-joint robot manipulators based on singularly perturbed decoupling

Published online by Cambridge University Press:  31 January 2018

Huashan Liu  and
Yong Huang
Huashan Liu*
Affiliation:
College of Information Science and Technology, Donghua University, Shanghai 201620, P.R. China
Yong Huang
Affiliation:
College of Information Science and Technology, Donghua University, Shanghai 201620, P.R. China
*
*Corresponding author. E-mails: hs.liu@qq.com, 1066994564@qq.com
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Summary

This paper presents a robust adaptive output feedback tracking controller for the flexible-joint robot manipulators to deal with the unknown upper bounds of parameter uncertainties and external disturbances. With applying the singular perturbation theory and integral manifold concept, the complex nonlinear coupled system of the flexible-joint robot manipulators is divided into a slow subsystem and a fast subsystem. A robust adaptive control scheme based on an improved linear parameterization expression is designed for the slow subsystem, and a saturation function is applied in the robust control term to make the torque output smooth. In the meantime, different from the previous approaches, the second-order derivative term of elastic torque is avoided by using the proposed computed torque method, which simplifies the implementation of the fast control law. Moreover, to carry out the whole control system with only position measurements, an approximate differential filter is involved to generate pseudo velocity signals for links and joint motors. In addition, an explicit but strict stability proof of the control system based on the theory of singularly perturbed systems is presented. Finally, simulation results verify the superior dynamic performance of the proposed controller.

Keywords

Flexible-joint robotRobust adaptive controlOutput feedback controlSingular perturbationApproximate differentiation
Type
Articles
Information
Robotica , Volume 36 , Issue 6 , June 2018 , pp. 822 - 838
Copyright
Copyright © Cambridge University Press 2018 

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References

1. Kiang, C. T., Spowage, A. and Yoong, C. K., “Review of control and sensor system of flexible manipulator,” J. Intell. Robot. Syst. 77 (1), 187–213 (2015).Google Scholar
2. Izadbakhsh, A., “Robust control design for rigid-link flexible-joint electrically driven robot subjected to constraint: Theory and experimental verification,” Nonlinear Dyn. 85 (2), 1–15 (2016).CrossRefGoogle Scholar
3. Lessard, J., Bigras, P., Liu, Z. et al., “Characterization, Modeling and vibration control of a flexible joint for a robotic system,” J. Vib. Control 20 (6), 943–960 (2012).CrossRefGoogle Scholar
4. Nanos, K. and Papadopoulos, E. G., “On the dynamics and control of flexible joint space manipulators,” Control Eng. Pract. 45, 230–243 (2015).Google Scholar
5. Slotine, J. J. E. and Li, W., “On the adaptive control of robot manipulators,” Int. J. Robot. Res. 6 (3), 49–59 (1987).Google Scholar
6. Spong, M. W., “Modeling and control of elastic joint robots,” J. Dyn. Syst. Meas. Control 109 (4), 310–318 (1987).Google Scholar
7. Spong, M., Khorasani, K. and Kokotovic, P. V., “An integral manifold approach to the feedback control of flexible joint robots,” IEEE J. Robot. Autom. 3 (4), 291–300 (1987).CrossRefGoogle Scholar
8. Ge, S. S., “Adaptive controller design for flexible joint manipulators,” Automatica 32 (2), 273–278 (1996).Google Scholar
9. Ulrich, S., Sasiadek, J. Z. and Barkana, I., “Modeling and direct adaptive control of a flexible-joint manipulator,” J. Guid. Control Dyn. 35 (1), 25–39 (2012).Google Scholar
10. Liu, Z. G. and Huang, J. M., “A new adaptive tracking control approach for uncertain flexible joint robot system,” Int. J. Autom. Comput. 12 (5), 559–566 (2015).CrossRefGoogle Scholar
11. Yang, X., Ge, S. S. and He, W., “Dynamic modelling and adaptive robust tracking control of a space robot with two-link flexible manipulators under unknown disturbances,” Int. J. Control in press (DOI: 10.1080/00207179.2017.1300837), (2017).Google Scholar
12. Fateh, M. M. and Khorashadizadeh, S., “Robust control of electrically driven robots by adaptive fuzzy estimation of uncertainty,” Nonlinear Dyn. 69 (3), 1465–1477 (2012).Google Scholar
13. Kolhe, J. P., Shaheed, M., Chandar, T. S. et al., “Robust control of robot manipulators based on uncertainty and disturbance estimation,” Int. J. Robust Nonlinear 23 (1), 104–122 (2013).Google Scholar
14. Loría, A. and Avila-Becerril, S., “Output-Feedback Global Tracking Control of Robot Manipulators with Flexible Joints,” IEEE, American Control Conference (2014) pp. 4032–4037.Google Scholar
15. Yoo, S. J., Park, J. B. and Choi, Y. H., “Adaptive output feedback control of flexible-joint robots using neural networks: dynamic surface design approach,” IEEE Trans. Neural Netw. 19 (10), 1712–1726 (2008).Google ScholarPubMed
16. Yoo, S. J., Park, J. B. and Choi, Y. H., “Output feedback dynamic surface control of flexible-joint robots,” Int. J. Control Autom. 6 (2), 223 (2008).Google Scholar
17. Khosravi, M. A. and Taghirad, H. D., “Dynamic modeling and control of parallel robots with elastic cables: singular perturbation approach,” IEEE Trans. Robot. 30 (3), 694–704 (2014).Google Scholar
18. Wang, D. W., “Trajectory Tracking for Manipulators with Flexible Joints Using Link Variable Feedback,” Proceedings of the 32nd IEEE Conference on IEEE Decision and Control (1993) pp. 633–637.Google Scholar
19. Kelly, R., Ortega, R., Ailon, A. et al., “Global regulation of flexible joint robots using approximate differentiation,” IEEE Trans. Autom. Control 39 (6), 1222–1224 (1994).Google Scholar
20. Liu, J. K., Robot Control System Design and Matlab Simulation (Tsinghua University Press, Beijing, 2008).Google Scholar
21. Raouf, F., Mohamad, S., Maarouf, S. et al., “Distributed adaptive control strategy for flexible link manipulators,” Robotica 35 (7), 1562–1584 (2017).Google Scholar
22. Gayaka, S., Lu, L. and Yao, B., “Global stabilization of a chain of integrators with input saturation and disturbances: A new approach,” Automatica 48 (7), 1389–1396 (2012).Google Scholar
23. Peng, J., Yu, J. and Wang, J., “Robust adaptive tracking control for nonholonomic mobile manipulator with uncertainties,” ISA Trans. 53 (4), 1035–1043 (2014).Google Scholar
24. Liu, H., Hao, K. and Lai, X., “Fuzzy saturated output feedback tracking control for robot manipulators: A singular perturbation theory based approach,” Int. J. Adv. Robot. Syst. 8 (4), 43–53 (2011).Google Scholar
25. Liu, H. and Zhu, S., “A generalized trajectory tracking controller for robot manipulators with bounded inputs,” J. Zhejiang Univ. Sci. A 10 (10), 1500–1508 (2009).Google Scholar