Synchronous trajectory tracking for mobile robot network without velocity measurements between coupling robots

In this paper, we investigate the multiple mobile robots synchronous trajectory tracking problems, i.e., the robots should track their desired trajectories while synchronizing their motions with coupling neighbors to maintain a time-varying formation shape. Aiming for practical applications of the multi-robot coordination, the time-varying communication delay in information exchange channels has been taken into consideration theoretically in control design. And more specially, each robot only requires the position information of the coupling robots for synchronization purpose, which means that the proposed approach achieves synchronization without velocity measurements. A fully distributed controller is proposed for each robot and a sufficient condition is presented based on the Lyapunov-Krasovskii theory and the Linear Matrix Inequality (LMI) approach. Finally, simulation results validate the effectiveness of the proposed synchronous trajectory tracking approach.

[1]  Soon-Jo Chung,et al.  Cooperative Robot Control and Concurrent Synchronization of Lagrangian Systems , 2007, IEEE Transactions on Robotics.

[2]  Panos J. Antsaklis,et al.  Output Synchronization of Networked Passive Systems With Event-Driven Communication , 2014, IEEE Transactions on Automatic Control.

[3]  Mireille E. Broucke,et al.  Local control strategies for groups of mobile autonomous agents , 2004, IEEE Transactions on Automatic Control.

[4]  Gang Feng,et al.  A Synchronization Approach to Trajectory Tracking of Multiple Mobile Robots While Maintaining Time-Varying Formations , 2009, IEEE Transactions on Robotics.

[5]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[6]  Vijay Kumar,et al.  The Inverse Kinematics of Cooperative Transport With Multiple Aerial Robots , 2013, IEEE Transactions on Robotics.

[7]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[8]  Nabil Derbel,et al.  Distributed Synchronization Control to Trajectory Tracking of Multiple Robot Manipulators , 2011, J. Robotics.

[9]  Beno Benhabib,et al.  Target-Motion Prediction for Robotic Search and Rescue in Wilderness Environments , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  Feng Gao,et al.  Robust adaptive terminal sliding mode-based synchronised position control for multiple motion axes systems , 2009 .

[11]  Stergios I. Roumeliotis,et al.  Multirobot Active Target Tracking With Combinations of Relative Observations , 2011, IEEE Transactions on Robotics.

[12]  Zhe Liu,et al.  Formation Control of Mobile Robots Using Distributed Controller With Sampled-Data and Communication Delays , 2016, IEEE Transactions on Control Systems Technology.

[13]  Lionel Lapierre,et al.  Distributed Control of Coordinated Path Tracking for Networked Nonholonomic Mobile Vehicles , 2013, IEEE Transactions on Industrial Informatics.

[14]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[15]  Jinde Cao,et al.  Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay , 2008, SIAM J. Appl. Dyn. Syst..

[16]  Zhe Liu,et al.  Action selection for active and cooperative global localization based on localizability estimation , 2014, 2014 IEEE International Conference on Robotics and Biomimetics (ROBIO 2014).