A Small Gain Framework for Networked Cooperative Teleoperation

Abstract A small gain approach for stability analysis of cooperative network-based force reflecting teleoperator systems is presented. The approach is based on a new version of input-to-output stability (IOS) nonlinear small gain theorem that is applicable to stability analysis of large-scale network-based interconnections. Using the small-gain theorem presented, we show that stability of the cooperative teleoperator system can always be achieved by choosing some of the system’ gains appropriately.

[1]  Fabian R. Wirth,et al.  Small gain theorems for large scale systems and construction of ISS Lyapunov functions , 2009, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[2]  Mark W. Spong,et al.  Bilateral control of teleoperators with time delay , 1988, Proceedings of the 1988 IEEE International Conference on Systems, Man, and Cybernetics.

[3]  Jean-Jacques E. Slotine,et al.  Telemanipulation with Time Delays , 2004, Int. J. Robotics Res..

[4]  A. Teel Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem , 1998, IEEE Trans. Autom. Control..

[5]  A. Teel A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..

[6]  Eduardo Sontag Input to State Stability: Basic Concepts and Results , 2008 .

[7]  Peter Xiaoping Liu,et al.  A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays , 2009, IEEE Transactions on Automatic Control.

[8]  Fabian R. Wirth,et al.  An ISS small gain theorem for general networks , 2007, Math. Control. Signals Syst..

[9]  Zhong-Ping Jiang Control of interconnected nonlinear systems: A small-gain viewpoint , 2003 .

[10]  Roland Siegwart,et al.  Beyond Webcams: An Introduction to Online Robots , 2001 .

[11]  Rajnikant V. Patel,et al.  An Internet-based distributed multiple-telerobot system , 2003, IEEE Trans. Syst. Man Cybern. Part A.

[12]  Shahin Sirouspour,et al.  Modeling and control of cooperative teleoperation systems , 2005, IEEE Transactions on Robotics.

[13]  Zhong-Ping Jiang,et al.  A nonlinear small-gain theorem for large-scale time delay systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.