On Exploring the Domain of Attraction for Bilateral Teleoperator

The domain of attraction problem is investigated for networked teleoperation system subject to actuator saturation in this chapter. The forward and backward time-varying communication delays are assumed to be interval and asymmetric, which is the case for network-based teleoperation system. We propose a novel Lyapunov-Krasovskii functional for the closed-loop teleoperation system with the consideration of the interval values of the time delays. The delay-dependent estimation of the domain of attraction is presented using linear matrix inequality (LMI) technique. The problem of designing P+d control law such that the domain of attraction is enlarged is formulated and solved as an optimization problem with LMI constraints. Experiments are performed to verify the effectiveness of the proposed approach.

[1]  Zongli Lin,et al.  Design of Saturation-Based Switching Anti-Windup Gains for the Enlargement of the Domain of Attraction , 2013, IEEE Transactions on Automatic Control.

[2]  Yuanqing Xia,et al.  Adaptive Sliding Mode Control for Attitude Stabilization With Actuator Saturation , 2011, IEEE Transactions on Industrial Electronics.

[3]  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.

[4]  Peter Xiaoping Liu,et al.  Delay-Dependent Stability Criteria of Teleoperation Systems With Asymmetric Time-Varying Delays , 2010, IEEE Transactions on Robotics.

[5]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[6]  Ziyang Meng,et al.  On global leader-following consensus of identical linear dynamic systems subject to actuator saturation , 2013, Syst. Control. Lett..

[7]  Frédéric Gouaisbaut,et al.  Wirtinger-based integral inequality: Application to time-delay systems , 2013, Autom..

[8]  Rajnikant V. Patel,et al.  A small gain framework for networked cooperative force-reflecting teleoperation , 2013, Autom..

[9]  Fabian R. Wirth,et al.  A Small-Gain Condition for Interconnections of ISS Systems With Mixed ISS Characterizations , 2010, IEEE Transactions on Automatic Control.

[10]  Huijun Gao,et al.  New Results on Stability of Discrete-Time Systems With Time-Varying State Delay , 2007, IEEE Transactions on Automatic Control.

[11]  Yuanqing Xia,et al.  Stability Analysis for High Frequency Networked Control Systems , 2012, IEEE Transactions on Automatic Control.

[12]  Denis Efimov,et al.  Robust output stabilization: Improving performance via supervisory control , 2009, 0906.0437.

[13]  P. X. Liu,et al.  Bilateral Control of Teleoperation Systems With Time Delay , 2015, IEEE/ASME Transactions on Mechatronics.

[14]  Kouhei Ohnishi,et al.  Frequency-Domain Damping Design for Time-Delayed Bilateral Teleoperation System Based on Modal Space Analysis , 2013, IEEE Transactions on Industrial Electronics.

[15]  Peter Xiaoping Liu,et al.  Teleoperation Over the Internet With/Without Velocity Signal , 2011, IEEE Transactions on Instrumentation and Measurement.

[16]  Mahdi Tavakoli,et al.  Teleoperation in the presence of varying time delays and sandwich linearity in actuators , 2013, Autom..

[17]  An-Min Zou,et al.  Neural Network-Based Distributed Attitude Coordination Control for Spacecraft Formation Flying With Input Saturation , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[18]  Eduardo D. Sontag,et al.  Input to state stability and allied system properties , 2011 .