Abstract
This chapter addresses the stability analysis problem for teleoperation systems with time delays. The communication delays are assumed to be both time-varying and asymmetric, which is the case for network-based teleoperation systems. The stability analysis is performed for the controller composed of delayed position error and velocity signal. By choosing Lyapunov Krasovskii functional, we show that the master-slave teleoperation systems are stable under specific LMI conditions. With the given controller design parameters, the proposed stability criteria can be used to compute the allowable maximal transmission delay. Finally, both simulations and experiments are performed to show the effectiveness of the proposed method.
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References
R.J. Anderson, M.W. Spong, Bilateral control of teleoperators with time delay. IEEE Trans. Autom. Control 34(5), 494–501 (1989)
W.R. Ferrell, Delayed force feedback. Hum. Factors 8(5), 449–455 (1966)
N. Chopra, M.W. Spong, S. Hirche, M. Buss, Bilateral teleoperation over the internet: the time varying delay problem, in Proceeding of American Control Conference, pp. 155–160 (2003)
K. Gu, V.L. Kharitonov, J. Chen, Stability of Time Delay Systems (2003)
Y. He, G. Liu, D. Rees, New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans. Neural Netw. Learn. Syst. 18(1), 310–314 (2007)
Y. He, G. Liu, D. Rees, M. Wu, Improved delay-dependent stability criteria for systems with nonlinear perturbations. Eur. J. Control 13(4), 356–365 (2007)
C.C. Hua, G. Feng, X.P. Guan, Robust stabilization of a class of nonlinear time delay systems via backstepping method. Eur. J. Control 44(2), 567–573 (2008)
P. Arcara, C. Melchiorri, Control schemes for teleoperation with time delay: A comparative study. Robot. Auton. Syst. 38(1), 49–64 (2002)
G. Niemeyer, J.E. Slotine, Stable adaptive teleoperation. IEEE J. Ocean. Eng. 16(1), 152–162 (1991)
N.A. Tung, N.T. Binh, T.H. Anh et al., Synchronization control of bilateral teleoperation systems by using wave variable method under varying time delay, in 2017 International Conference on System Science and Engineering (ICSSE), pp. 21–23 (2017)
D. Lee, K. Huang, Passive-set-position-modulation framework for interactive robotic systems. IEEE Trans. Robot. 26(2), 354–369 (2010)
I.G. Polushin, P.X. Liu, C.H. Lung, A control scheme for stable force-reflecting teleoperation over ip networks. IEEE Trans. Syst. Man Cybern. B Cybern. 36(4), 930–939 (2006)
I.G. Polushin, P.X. Liu, C.H. Lung, A force reflection algorithm for improved transparency in bilateral teleoperation with communication delay. IEEE/ASME Trans. Mechatron. 12(3), 361–374 (2007)
D. Lee, M.W. Spong, Passive bilateral teleoperation with constant time delay. IEEE Trans. Robot. Autom. 22(2), 269–281 (2006)
E. Nu\(\tilde{n}\)o, R. Ortega, N. Barabanov, L. Basa\(\tilde{n}\)ez, A globally stable pd controller for bilateral teleoperators. IEEE Trans. Robot. 24(3), 753–758 (2008)
E. Nu\(\tilde{n}\)o, L. Basa\(\tilde{n}\)ez, R. Ortega, M.W. Spong, Position tracking for non-linear teleoperators with variable time delay. Int. J. Robot. Res. 28(7), 895–910 (2009)
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Hua, C., Yang, Y., Yang, X., Guan, X. (2019). Stability Analysis of Teleoperation Systems with Asymmetric Time-Varying Delays. In: Analysis and Design for Networked Teleoperation System. Springer, Singapore. https://doi.org/10.1007/978-981-13-7936-9_2
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DOI: https://doi.org/10.1007/978-981-13-7936-9_2
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