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In bilateral teleoperation of a dexterous task, to take full advantage of the human's intelligence, experience and sensory inputs, a possibility is to engage multiple human arms through multiple masters (haptic devices) in controlling a single-slave robot with high degrees-of-freedom (DOF); the total DOFs of the masters will be equal to the DOFs of the slave. A multi-master/single-slave cooperative haptic teleoperation system with w DOFs can be modelled as a two-port network where each port (terminal) connects to a termination defined by w inputs and w outputs. The stability analysis of such a system is not trivial because of dynamic coupling across the different DOFs of the robots, the human operators and the physical or virtual environments. The unknown dynamics of the users and the environments exacerbate the problem. The authors present a novel, straightforward and convenient frequency-domain method for stability analysis of this system. As a case study, two 1-DOF and 2-DOF master haptic devices are considered to teleoperate a 3-DOF slave robot. It is qualitatively discussed how such a trilateral haptic teleoperation system may result in better task performance by splitting the various DOFs of a dexterous task between two arms of a human or two humans. Simulation and experimental results demonstrate the validity of the stability analysis framework.
References
-
-
1)
-
2. Ueki, S., Kawasaki, H., Ito, S., et al: ‘Development of a hand-assist robot with multi-degrees-of-freedom for rehabilitation therapy’, IEEE/ASME Trans. Mechatronics, 2012, 17, (1), pp. 136–146 (doi: 10.1109/TMECH.2010.2090353).
-
2)
-
19. Lee, D., Li, P.: ‘Passive bilateral feedforward control of linear dynamically similar teleoperated manipulators’, IEEE Trans. Robot. Autom., 2003, 19, (3), pp. 443–456 (doi: 10.1109/TRA.2003.810576).
-
3)
-
25. Khalil, H.K.: ‘Nonlinear systems’ (Prentice-Hall, 2002).
-
4)
-
18. Ansari, R., Zareinejad, M., Rezaei, S., Baghestan, K., Sarli, N.: ‘Stable multi-user interaction with cooperative haptic virtual environments by a modification of passive set-position modulation’, IET Control Theory Appl., 2012, 6, (16), pp. 2538–2548 (doi: 10.1049/iet-cta.2011.0446).
-
5)
-
22. Kim, K., Chung, W.K., Cavusoglu, M.: ‘Description of instantaneous restriction space for multi-DOFs bilateral teleoperation systems using position sensors in unstructured environments’, IEEE Trans. Robot., 2009, 25, (5), pp. 1150–1158 (doi: 10.1109/TRO.2009.2024789).
-
6)
-
20. Lee, D., Li, P.Y.: ‘Passive bilateral control and tool dynamics rendering for nonlinear mechanical teleoperators’, IEEE Trans. Robot., 2005, 21, (5), pp. 936–951 (doi: 10.1109/TRO.2005.852259).
-
7)
-
8. Jazayeri, A., Tavakoli, M.: ‘A passivity criterion for sampled-data bilateral teleoperation systems’, IEEE Trans. Haptics, 2013, 6, (3), pp. 363–369 (doi: 10.1109/TOH.2012.73).
-
8)
-
17. Ryu, J.-H., Kwon, D.-S., Hannaford, B.: ‘Stable teleoperation with time-domain passivity control’, IEEE Trans. Robot. Autom., 2004, 20, (2), pp. 365–373 (doi: 10.1109/TRA.2004.824689).
-
9)
-
G. Niemeyer ,
J. Slotine
.
Stable adaptive teleoperation.
Int. J. Ocean. Eng.
,
1 ,
152 -
162
-
10)
-
12. Kinova, , ‘Jaco arm user guide’ (Kinova, 2010).
-
11)
-
27. Zhu, Y.-S., Chen, W.-K.: ‘Realizability of lossless reciprocal and nonreciprocal broadband matching networks’, J. Franklin Inst., 1985, 319, (3), pp. 325–340 (doi: 10.1016/0016-0032(85)90054-7).
-
12)
-
10. Hodgson, S., Le, M.Q., Tavakoli, M., Pham, M.T.: ‘Improved tracking and switching performance of an electro-pneumatic positioning system’, Mechatronics, 2012, 22, (1), pp. 1–12 (doi: 10.1016/j.mechatronics.2011.10.007).
-
13)
-
16. Anderson, R.J., Spong, M.W.: ‘Asymptotic stability for force reflecting teleoperators with time delay’, Int. J. Robot. Res., 1992, 11, (2), pp. 135–149 (doi: 10.1177/027836499201100204).
-
14)
-
6. Hashemzadeh, F., Hassanzadeh, I., Tavakoli, M., Alizadeh, G.: ‘A new method for bilateral teleoperation passivity under varying time delays’, Math. Probl. Eng., 2012. 2012, pp. 1–19 (doi: 10.1155/2012/792057).
-
15)
-
13. Zhai, S., Milgram, P.: ‘Quantifying coordination in multiple DOF movement and its application to evaluating 6 DOF input devices’. Proc. SIGCHI Conf. on Human Factors in Computing Systems, vol. CHI 98, April 1998, pp. 320–327.
-
16)
-
5. Ware, J., Pan, Y.J.: ‘Realisation of a bilaterally teleoperated robotic vehicle platform with passivity control’, IET Control Theory Appl., 2011, 5, (8), pp. 952–962 (doi: 10.1049/iet-cta.2010.0265).
-
17)
-
9. Kim, K., Cavusoglu, M., Chung, W.-K.: ‘Quantitative comparison of bilateral teleoperation systems using mu-synthesis’, IEEE Trans. Robot., 2007, 23, (4), pp. 776–789 (doi: 10.1109/TRO.2007.900625).
-
18)
-
23. Malysz, P., Sirouspour, S.: ‘Trilateral teleoperation control of kinematically redundant robotic manipulators’, Int. J. Robot. Res., 2011, 30, pp. 1643–1664 (doi: 10.1177/0278364911401053).
-
19)
-
1. Tanaka, H., Ohnishi, K., Nishi, H., et al: ‘Implementation of bilateral control system based on acceleration control using FPGA for multi-dof haptic endoscopic surgery robot’, IEEE Trans. Ind. Electron., 2009, 56, (3), pp. 618–627 (doi: 10.1109/TIE.2008.2005710).
-
20)
-
28. Youla, D.: ‘A note on the stability of linear, nonreciprocal n-port’, Proc. IRE, 1960, 48, pp. 121–122.
-
21)
-
29. Chen, C.-T.: ‘Linear system theory and design’ (Oxford University Press, 1998).
-
22)
-
32. Dyck, M., Tavakoli, M.: ‘Measuring the dynamic impedance of the human arm without a force sensor’. 13th Int. Conf. Rehabilitation Robotics, 2013.
-
23)
-
7. Mohammadi, A., Tavakoli, M., Marquez, H.: ‘Disturbance observer-based control of non-linear haptic teleoperation systems’, IET Control Theory Appl., 2011, 5, (18), pp. 2063–2074 (doi: 10.1049/iet-cta.2010.0517).
-
24)
-
21. Speich, J., Goldfarb, M.: ‘An implementation of loop-shaping compensation for multi-degree-of-freedom macro-microscaled telemanipulation’, IEEE Trans. Control Syst. Technol., 2005, 13, (3), pp. 459–464 (doi: 10.1109/TCST.2004.839576).
-
25)
-
26. Youla, D.: ‘A stability characterization of the reciprocal linear passive n-port’, Proc. IRE, 1959, 47, pp. 1150–1151.
-
26)
-
24. Yamashita, T., Godler, I., Takahashi, Y., Wada, K., Katoh, R.: ‘Peg-and-hole task by robot with force sensor: simulation and experiment’. IECON ’91, vol. 2, October 1991, pp. 980–985.
-
27)
-
R. Ortega ,
M. Spong
.
Adaptive motion control of rigid robots: a tutorial.
Automatica
,
6 ,
877 -
888
-
28)
-
31. Marquez, H.J.: ‘Nonlinear control systems analysis and design’ (Wiley, 2003).
-
29)
-
3. Aldana, C., Nuno, E., Basanez, L.: ‘Bilateral teleoperation of cooperative manipulators’. 2012 IEEE Int. Conf. on Robotics and Automation (ICRA), 2012, pp. 4274–4279.
-
30)
-
4. Willaert, B., Reynaerts, D., Brussel, H.V., Poorten, E.B.V.: ‘Bilateral teleoperation: quantifying the requirements for and restrictions of ideal transparency’, IEEE Trans. Control Syst. Technol., 2013, 22, (1), pp. 387–395 (doi: 10.1109/TCST.2013.2251345).
-
31)
-
11. Hager, G.D.: ‘Human–machine cooperative manipulation with vision-based motion constraints’ (Springer, London) vol. 401, pp. 55–70, 2010.
-
32)
-
M. Tavakoli ,
A. Aziminejad ,
R.V. Patel ,
M. Moallem
.
Discrete-time bilateral teleoperation: modelling and stability analysis.
IET Control Theory Appl.
,
6 ,
496 -
512
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