2011 Chinese Control and Decision Conference (CCDC) 2011
DOI: 10.1109/ccdc.2011.5968191
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A novel control scheme for teleoperation with guaranteed performance under time-varying delays

Abstract: This work deals with the stability and synchronization of systems with time-varying delays. We propose a novel control scheme with position/velocity information channel on the basis of Lyapunov-Krasovskii functional (LKF) and H∞ control theory by using Linear Matrix Inequality (LMI). The proposed solution is efficient for different working conditions, such as abrupt motion and wall contact, and this is illustrated by various simulations.

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Cited by 4 publications
(4 citation statements)
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“…The present work addresses this last open problem under time-varying delays. We generalize a previous result on a bilateral state feedback control structure (Zhang et al 2011) to allow position tracking under asymmetric and time-varying delays. From this result, we present a new control structure and prove the stability of the closed-loop system by Lyapunov approaches, especially, Lyapunov-Krasovskii functionals (LKF), which can be solved by Linear Matrix Inequalities (LMI, see (Fridman 2006) and the references therein).…”
Section: Introductionsupporting
confidence: 56%
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“…The present work addresses this last open problem under time-varying delays. We generalize a previous result on a bilateral state feedback control structure (Zhang et al 2011) to allow position tracking under asymmetric and time-varying delays. From this result, we present a new control structure and prove the stability of the closed-loop system by Lyapunov approaches, especially, Lyapunov-Krasovskii functionals (LKF), which can be solved by Linear Matrix Inequalities (LMI, see (Fridman 2006) and the references therein).…”
Section: Introductionsupporting
confidence: 56%
“…From (Zhang et al 2011), we can see that, J(w) < 0 holds if (6) is negative. We apply Jensen's inequality (Gu et al 2003):…”
Section: Introductionmentioning
confidence: 96%
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“…• The position-position teleoperation: the impedance-shaping term can also be used in the position-position control architecture [92]. • It is possible that the mixed information is utilized, e.g., the position/velocity/force [94] or the position/velocity-position/velocity [93] teleoperation, which will be presented in this book. • It is possible that the mixed information is utilized, e.g., the position/velocity/force [94] or the position/velocity-position/velocity [93] teleoperation, which will be presented in this book.…”
Section: Control Issues In Teleoperationmentioning
confidence: 99%