Abstract
A novel control scheme has been proposed to solve the synchronization control problem for a nonlinear bilateral teleoperation system with time delays in this paper. An extended state observer is introduced to deal with the lumped system uncertainties. Both fast convergence rate and high convergence precision are guaranteed via designing an integral sliding mode controller. Some general Lyapunov stability criteria are given for the nonlinear bilateral teleoperation system with time delays. Lastly, two Phantom Premium 1.5 HF robot manipulators are used in the experiments to demonstrate the effectiveness of the developed techniques in this paper.
Similar content being viewed by others
References
C. G. Vinderola, M. Medici, and G. Perdigon, “Haptic feedback in uninhabited aerial vehicle teleoperation with time delay,” Journal of Guidance Control and Dynamics, vol. 31, no. 6, pp. 1728–1739, 2015. [click]
Y. Yuan and F. Sun, “Delay-dependent stability criteria for time-varying delay neural networks in the delta domain,” Neurocomputing, vol. 125, no. 3, pp. 17–21, 2014. [click]
R. J. Anderson and M.W. Spong, “Bilateral control of teleoperators with time delay,” IEEE Transactions on Automatic Control, vol. 34, no. 5, pp. 494–501, 1989. [click]
C. Hua and X. Liu, “Delay-dependent stability criteria of teleoperation systems with asymmetric time-varying delays,” IEEE Transactions on Robotics, vol. 26, no. 5, pp. 925–932, 2010. [click]
E. Nuno, L. Basanez, C. Lopez-Franco, and N. Arana-Daniel, “Stability of nonlinear teleoperators using PD controllers without velocity measurements,” Journal of the Franklin Institute, vol. 351, no. 1, pp. 241–258, 2014. [click]
E. Slawinski, S. Garcia, L. Salinas, and V. Mut, “PD-like controller with impedance for delayed bilateral teleoperation of mobile robots,” Robotica, pp. 1–11, 2015.
Y. Yuan, F. Sun, and H. Liu, “Resilient control of cyberphysical systems against intelligent attacker: a hierarchal stackelberg game approach,” International Journal of Systems Science, vol. 47, no. 9, pp. 1–11, 2015.
J. Liu, S. Laghrouche, M. Harmouche, and M. Wack, “Adaptive-gain second-order sliding mode observer design for switching power converters,” Control Engineering Practice, vol. 30, no. 9, pp. 124–131, 2013. [click]
J. Liu, W. Luo, X. Yang, and L. Wu, “Robust model-based fault diagnosis for PEM fuel cell air-feed system,” IEEE Transactions on Industrial Electronics, vol. 63, no. 5, pp. 3261–3270, 2016. [click]
F. Chen, Z. Wang, B. Jiang, and C. Wen, “An improved nonlinear model for a helicopter and its self-repairing control with multiple faults via quantum information technique,” International Journal of Control, Automation and Systems, vol. 13, no. 3, pp. 1–10, 2015.
Y. Huang, Z. Luo, M. Svinin, T. Odashima, and S. Hosoe, “Extended state observer based technique for control of robot systems,” Proc. of the 4th World Congress on Intelligent Control and Automation, vol. 4, pp. 2807–2811, 2002.
S. E. Talole, J. P. Kolhe, and S. B. Phadke, “Extendedstate-observer-based control of flexible-joint system with experimental validation,” IEEE Transactions on Industrial Electronics, vol. 57, no. 4, pp. 1411–1419, 2010. [click]
J. Liu, S. Laghrouche, and M. Wack, “Observer-based higher order sliding mode control of power factor in threephase AC/DC converter for hybrid electric vehicle applications,” International Journal of Control, vol. 87, no. 6, pp. 1117–1130, 2013. [click]
L. Wu, W. Zheng and H. Gao, “Dissipativity-based sliding mode control of switched stochastic systems,” IEEE Transactions on Automatic Control, vol. 58, no. 3, pp. 785–791, 2013. [click]
Y. Guo, S. M. Song, and X. H. Li, “Quaternion-based finite-time control for attitude tracking of the spacecraft without unwinding,” International Journal of Control, Automation and Systems, pp. 1–9, 2015.
V. I. Utkin and J. Shi, “Integral sliding mode in systems operating under uncertainty conditions,” Proc. of the 35th Conference on Decision Control, Kobe, Japan, Dec. 1996.
M. Galicki, “Finite-time control of robotic manipulators,” Automatica, vol. 51, pp. 49–54, 2014. [click]
B. Guo and Z. Zhao, “On the convergence of an extended state observer for nonlinear systems with uncertainty,” Systems and Control Letters, vol. 60, no. 6, pp. 420–430, 2011.
B. Guo and Z. Zhao, “On convergence of the nonlinear active disturbance rejection control for MIMO systems,” SIAM Journal on Control and Optimization, vol. 51, no. 2, pp. 1727–1757, 2013. [click]
Y. Yang, C. Hua, and X. Guan, “Finite-time synchronization control for bilateral teleoperation under communication delays,” Robotics and Computer-Integrated Manufacturing, vol. 31, pp. 61–69, 2015. [click]
N. Chopra, P. Berestesky, and M.W. Spong, “Bilateral teleoperation over unreliable communication networks,” IEEE Transactions on Control Systems Technology, vol. 16, no. 2, pp. 304–313, 2008. [click]
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Do Wan Kim under the direction of Editor Fuchun Sun. The authors would like to thank the anonymous reviewers for their detailed comments which helped to improve the quality of the paper. The work was supported by National Natural Science Foundation of China (51505413, 61573301, 61473161).
Ling Zhao was born in Hebei Province, China, in 1984. She received the B.S. degree in mathematics and applied mathematics and the M.S. degree in applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. She received the Ph.D. degree in control science and engineering in Beijing Institute of Technology, Beijing, China, in 2012. She is currently a teacher with the Department of Automation, Institute of Electrical Engineering, Yanshan University, China. Her research interests include robust control/filter theory, delta operator systems, networked control systems and stochastic systems.
Hao Zhang was born in Shandong Province, China, in 1990. He received the B.S. degree in Automation from City Institute, Dalian University of Technology, Dalian, China, in 2013. He is currently working toward an M.S. degree at the Department of Electrical Engineering, Yanshan University. His research interests include teleoperation systems, active disturbance rejection control and sliding mode control.
Yana Yang received the B.S degree and Ph.D degree in Electric Engineering from Yanshan University, Qinhuangdao, China, in 2011 and 2016, respectively. She is currently a postdoctoral fellow with the Department of Mechanical Engineering, Yanshan University. Her current research interest include teleoperation system control, underwater robot control and highorder nonlinear system control.
Hongjiu Yang was born in Hebei Province, China, in 1981. He received the B.S. degree in mathematics and applied mathematics and the M.S. degree in applied mathematics from Hebei University of Science and Technology, Shijiazhuang, China, in 2005 and 2008, respectively. He received the Ph.D. degree in control science and engineering in Beijing Institute of Technology, Beijing, China, in 2011. He is currently an Associate Professor with the Department of Automation, Institute of Electrical Engineering, Yanshan University, China. His research interests include robust control/filter theory, delta operator systems, networked control systems and stochastic systems.
Rights and permissions
About this article
Cite this article
Zhao, L., Zhang, H., Yang, Y. et al. Integral sliding mode control of a bilateral teleoperation system based on extended state observers. Int. J. Control Autom. Syst. 15, 2118–2125 (2017). https://doi.org/10.1007/s12555-016-0441-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-016-0441-8