Abstract
In this paper, an adaptive synchronization control method is proposed for dual-manipulator systems to guarantee the satisfactory synchronization and tracking performance on the basis of effective finite time parameter estimation. The mean-coupling synchronization scheme is employed to obtain the mean-coupling error, and a fast finite time sliding mode surface and a auxiliary control variable are presented based on the position tracking error and mean-coupling error to facilitate the control design. Then, the fast terminal sliding mode synchronization controller is proposed to ensure that both the tracking error and the synchronization error can converge to zero in finite time. Moreover, an adaptive parameter estimation law is developed by the extracted parameter error information to accurately identify the unknown system parameters. Comparative simulations are provided to validate the effectiveness of the proposed method.
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References
L.E. Pfeffer, The design and control of a two-armed, cooperating, flexible-drivetrain robot system (1993)
P. Zhang, Y.C. Li, Simulations and trajectory tracking of two manipulators manipulating a flexible payload, in 2008 IEEE Conference on Robotics, Automation and Mechatronics, IEEE, pp. 72–77 (2008)
D. Sun, Y.H. Liu, Position and force tracking of a two-manipulator system manipulating a flexible beam payload, in Proceedings IEEE International Conference on Robotics and Automation, 2001 IEEE, pp. 3483–3488 (2001)
A.K. Bondhus, K.Y. Pettersen, H. Nijmeijer, Master-slave synchronization of robot manipulators, in Proceedings IFAC Symposium on Nonlinear Control Systems, pp. 91–596 (2004)
G. Zhao, D. Zhao. Robust consensus control for multiple robotic manipulators, in Control Conference. IEEE, pp. 2229–2233 (2014)
D. Sun, J.K. Mills, Adaptive synchronized control for coordination of multirobot assembly tasks. IEEE Trans. Rob. Autom. 18(4), 498–510 (2002)
L. Li, L. Sun, S. Zhang, Mean deviation coupling synchronous control for multiple motors via second-order adaptive sliding mode control. Isa Trans 62, 222–235 (2016)
A. Rodriguez-Angeles, H. Nijmeijer, Coordination of two robot manipulators based on position measurements only. Int. J. Control 74(13), 1311–1323 (2001)
D. Zhao, C. Li, Q. Zhu, Low-pass-filter-based position synchronization sliding mode control for multiple robotic manipulator systems. Proc. Inst. Mech. Eng. Part I: J. Syst. Control Eng. 225(8), 1136–1148 (2011)
D. Zhao, S. Li, F. Gao, Robust adaptive terminal sliding mode-based synchronised position control for multiple motion axes systems. IET Control Theory & Appl. 3(1), 136–150 (2009)
V. Adetola, M. Guay, Finite-time parameter estimation in adaptive control of nonlinear systems. IEEE Trans. Autom. Control 53(3), 807–811 (2008)
C.Y. Su, T.P. Leung, A sliding mode controller with bound estimation for robot manipulators. IEEE Trans. Rob. Autom. 11(1), 165–166 (1993)
J.J.E. Slotine, W. Li, Composite adaptive control of robot manipulators. Automatica 25(4), 509–519 (1989)
J. Na, M.N. Mahyuddin, G. Herrmann, Robust adaptive finite-time parameter estimation and control for robotic systems. Int. J. Rob. Nonlinear Control 25(16), 3045–3071 (2015)
S. Sastry, M. Bodson, Adaptive Control: Stability, Convergence, and Robustness (Prentice Hall, New Jersey, 1989)
A.M. Zou, K.D. Kumar, Z.G. Hou, X. Liu, Finite-time attitude tracking control for spacecraft using terminal sliding mode and Chebyshev neural network. IEEE Trans. Syst. Man Cybern B Cybern. 41(4), 950–963 (2011)
S. Yu, X. Yu, B. Shirinzadeh, Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(11), 1957–1964 (2005)
Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 61403343, and Zhejiang Provincial Natural Science Foundation under Grant No. LY17F030018.
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Gao, M., Chen, Q., Tao, L., Nan, Y. (2019). Adaptive Synchronization Control for Dual-Manipulator System Using Finite Time Parameter Estimation. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2018 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 529. Springer, Singapore. https://doi.org/10.1007/978-981-13-2291-4_47
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DOI: https://doi.org/10.1007/978-981-13-2291-4_47
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