Adaptive Task-Space Cooperative Tracking Control of Networked Robotic Manipulators Without Task-Space Velocity Measurements

In this paper, the task-space cooperative tracking control problem of networked robotic manipulators without task-space velocity measurements is addressed. To overcome the problem without task-space velocity measurements, a novel task-space position observer is designed to update the estimated task-space position and to simultaneously provide the estimated task-space velocity, based on which an adaptive cooperative tracking controller without task-space velocity measurements is presented by introducing new estimated task-space reference velocity and acceleration. Furthermore, adaptive laws are provided to cope with uncertain kinematics and dynamics and rigorous stability analysis is given to show asymptotical convergence of the task-space tracking and synchronization errors in the presence of communication delays under strongly connected directed graphs. Simulation results are given to demonstrate the performance of the proposed approach.

[1]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[2]  Yongcan Cao,et al.  Distributed Coordinated Tracking With Reduced Interaction via a Variable Structure Approach , 2012, IEEE Transactions on Automatic Control.

[3]  Hanlei Wang,et al.  Consensus of Networked Mechanical Systems With Communication Delays: A Unified Framework , 2014, IEEE Transactions on Automatic Control.

[4]  Yunhui Liu,et al.  Uncalibrated visual servoing of robots using a depth-independent interaction matrix , 2006, IEEE Transactions on Robotics.

[5]  Guangfu Ma,et al.  Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph , 2012, Autom..

[6]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[7]  Frank L. Lewis,et al.  Distributed adaptive control for synchronization of unknown nonlinear networked systems , 2010, Autom..

[8]  Wei Ren,et al.  Distributed leaderless consensus algorithms for networked Euler–Lagrange systems , 2009, Int. J. Control.

[9]  Chien Chern Cheah,et al.  Adaptive Jacobian tracking control of rigid-link electrically driven robots based on visual task-space information , 2006, Autom..

[10]  Zhongli Wang,et al.  A New Approach to Dynamic Eye-in-Hand Visual Tracking Using Nonlinear Observers , 2011, IEEE/ASME Transactions on Mechatronics.

[11]  X. Zeng,et al.  Adaptive Task-Space Tracking Control of Robots Without Task-Space- and Joint-Space-Velocity Measurements , 2010, IEEE Transactions on Robotics.

[12]  George J. Pappas,et al.  Flocking in Fixed and Switching Networks , 2007, IEEE Transactions on Automatic Control.

[13]  Yunhui Liu,et al.  Adaptive Visual Servoing Using Point and Line Features With an Uncalibrated Eye-in-Hand Camera , 2008, IEEE Transactions on Robotics.

[14]  Daniel W. C. Ho,et al.  Partial-Information-Based Distributed Filtering in Two-Targets Tracking Sensor Networks , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Yunhui Liu,et al.  A unified design method for adaptive visual tracking control of robots with eye-in-hand/fixed camera configuration , 2015, Autom..

[16]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[17]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[18]  Ziyang Meng,et al.  Leaderless and Leader-Following Consensus With Communication and Input Delays Under a Directed Network Topology , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Hanlei Wang,et al.  Adaptive task-space synchronisation of networked robotic agents without task-space velocity measurements , 2013, Int. J. Control.

[20]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[21]  Romeo Ortega,et al.  Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays , 2011, IEEE Transactions on Automatic Control.

[22]  Tianping Chen,et al.  Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays , 2010, IEEE Transactions on Automatic Control.

[23]  Yunhui Liu,et al.  Adaptive visual servoing using common image features with unknown geometric parameters , 2013, Autom..

[24]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[25]  Lu Ren,et al.  Synchronous Tracking Control of Parallel Manipulators Using Cross-coupling Approach , 2006, Int. J. Robotics Res..

[26]  Hanlei Wang,et al.  Flocking of networked uncertain Euler-Lagrange systems on directed graphs , 2013, Autom..

[27]  Yen-Chen Liu,et al.  Controlled Synchronization of Heterogeneous Robotic Manipulators in the Task Space , 2012, IEEE Transactions on Robotics.

[28]  Mark W. Spong,et al.  Semiautonomous control of multiple networked Lagrangian systems , 2009 .

[29]  Daniel W. C. Ho,et al.  A Unified Approach to Practical Consensus with Quantized Data and Time Delay , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[30]  Hanlei Wang,et al.  Passivity based synchronization for networked robotic systems with uncertain kinematics and dynamics , 2013, Autom..

[31]  Guangfu Ma,et al.  Distributed Coordinated Tracking With a Dynamic Leader for Multiple Euler-Lagrange Systems , 2011, IEEE Transactions on Automatic Control.

[32]  Ziyang Meng,et al.  Delay-Induced Synchronization of Identical Linear Multiagent Systems , 2013, IEEE Transactions on Cybernetics.

[33]  Yunhui Liu,et al.  Dynamic Visual Tracking for Manipulators Using an Uncalibrated Fixed Camera , 2007, IEEE Transactions on Robotics.

[34]  Guoqiang Hu,et al.  Robust consensus tracking of a class of second-order multi-agent dynamic systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[35]  Changbin Yu,et al.  ISS Method for Coordination Control of Nonlinear Dynamical Agents Under Directed Topology , 2014, IEEE Transactions on Cybernetics.

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

[37]  M. Spong,et al.  Stable flocking of multiple inertial agents on balanced graphs , 2006, 2006 American Control Conference.

[38]  Dong Sun,et al.  Adaptive synchronized control for coordination of multirobot assembly tasks , 2002, IEEE Trans. Robotics Autom..

[39]  Jinde Cao,et al.  Adaptive Stabilization and Synchronization for Chaotic Lur'e Systems With Time-Varying Delay , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[40]  Chien Chern Cheah,et al.  Adaptive Tracking Control for Robots with Unknown Kinematic and Dynamic Properties , 2006, Int. J. Robotics Res..

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

[42]  Ziyang Meng,et al.  Leader-follower swarm tracking for networked Lagrange systems , 2012, Syst. Control. Lett..

[43]  Wei Li,et al.  Stability of General Coupled Inertial Agents , 2010, IEEE Transactions on Automatic Control.

[44]  Tianping Chen,et al.  New approach to synchronization analysis of linearly coupled ordinary differential systems , 2006 .

[45]  Huaguang Zhang,et al.  Distributed Cooperative Optimal Control for Multiagent Systems on Directed Graphs: An Inverse Optimal Approach , 2015, IEEE Transactions on Cybernetics.

[46]  Yunhui Liu,et al.  Uncalibrated Visual Tracking Control Without Visual Velocity , 2010, IEEE Transactions on Control Systems Technology.

[47]  Min Wang,et al.  Improved Stability Results for Visual Tracking of Robotic Manipulators Based on the Depth-Independent Interaction Matrix , 2011, IEEE Transactions on Robotics.

[48]  Nikhil Chopra,et al.  Output Synchronization on Strongly Connected Graphs , 2012, IEEE Transactions on Automatic Control.

[49]  Hanlei Wang,et al.  Task-Space Synchronization of Networked Robotic Systems With Uncertain Kinematics and Dynamics , 2013, IEEE Transactions on Automatic Control.

[50]  Jürgen Kurths,et al.  Consensus over directed static networks with arbitrary finite communication delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.