2009 IEEE International Conference on Robotics and Automation 2009
DOI: 10.1109/robot.2009.5152507
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Asymptotic stability of teleoperators with variable time-delays

Abstract: This paper extends the previous results on position tracking for bilateral teleoperators with constant time-delays, reported in Nuño et al. IEEE Trans. Robot., vol. 24, no. 3, pp. 753-758, June 2008, to the case of variable time-delays in the teleoperator's communications. The key part is the extension of a previous Lemma that is used to prove that P+d or PD+d controllers can stabilize the teleoperator under variable timedelays, and moreover, they provide position tracking. The paper outlines the conditions un… Show more

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Cited by 10 publications
(8 citation statements)
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“…2 define the basic control loop, based on the impedance strategy, that uses the position input to provide force feedback. The controller is a P+d (proportional plus damping) that was proved to be stable and robust in front of time delays [24]. Moreover, this controller was proven to provide stiff force reflections of the remote environment, and for small timedelays a better transparency than other alternatives.…”
Section: Controlmentioning
confidence: 99%
See 1 more Smart Citation
“…2 define the basic control loop, based on the impedance strategy, that uses the position input to provide force feedback. The controller is a P+d (proportional plus damping) that was proved to be stable and robust in front of time delays [24]. Moreover, this controller was proven to provide stiff force reflections of the remote environment, and for small timedelays a better transparency than other alternatives.…”
Section: Controlmentioning
confidence: 99%
“…This module is designed to regulate the remote damping of the control system, as a function of the potential collisions with the environment. As demonstrated in [24], the use of the P+d controller guarantees that the velocities and the position error are bounded, provided that the control gains (the proportional and the damping gains at the local and the remote site, K l , B l , K r , B r > 0), are set according to:…”
Section: Reactive Systemmentioning
confidence: 99%
“…Li et al proposed a stable bilateral control method under time delay with multiple master arms and one slave arm, 10 but the stability is maintained under the condition that the slave side environment is fixed by the rigid wall. Oboe et al, 11 Nuno et al, [12][13][14][15] and Lee et al 16 dealt with this problem by using a proportional derivative (PD) controller. Rodriguez-Seda et al compared some of the performance of these bilateral teleoperators.…”
Section: Introductionmentioning
confidence: 99%
“…However, they did not explain the point how the two types of damping gains effect each other, stability and performance. Nuno et al [9,[12][13][14] studied PD controllers. In their research, they stabilized a teleoperator system with a grounded damper gain and relative damper gain.…”
Section: Introductionmentioning
confidence: 99%