Distributed tracking for networked Euler-Lagrange systems using only relative position measurements

In this paper, the problem of distributed coordinated tracking control for networked Euler-Lagrange systems using only relative position measurements is studied. Under the condition that only a subset of followers have access to the leader, sliding mode estimators are developed to estimate the states of the dynamic leader accurately in finite time. A set of distributed observers which only uses relative position information is designed to deal with the unavailability of the followers' velocities. Using the observer outputs, distributed control laws are proposed such that the objective of tracking a dynamic leader under a spanning tree is achieved. The asymptotic stability of the proposed distributed observer-controller is proved through Lyapunov method. Numerical simulation results are also provided to show the effectiveness of the control laws.

[1]  Roberto Horowitz,et al.  Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators , 1990, Int. J. Robotics Res..

[2]  Rob Dekkers,et al.  Control of Robot Manipulators in Joint Space , 2005 .

[3]  M. Spong,et al.  Robot Modeling and Control , 2005 .

[4]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[5]  F. Hao,et al.  Adaptive Controller-Observer Design for 6-DOF Parallel Manipulators , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[6]  Mark W. Spong,et al.  Synchronization of Networked Lagrangian Systems , 2007 .

[7]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

[8]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

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

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

[11]  Yupu Yang,et al.  Leader-following consensus problem with a varying-velocity leader and time-varying delays , 2009 .

[12]  Ziyang Meng,et al.  Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking , 2010, Syst. Control. Lett..

[13]  Abdelkader Abdessameud,et al.  On consensus algorithms for double-integrator dynamics without velocity measurements and with input constraints , 2010, Syst. Control. Lett..

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

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

[16]  F. Sun,et al.  Distributed adaptive consensus algorithm for networked Euler-Lagrange systems , 2011 .

[17]  Wenjie Dong,et al.  On consensus algorithms of multiple uncertain mechanical systems with a reference trajectory , 2011, Autom..

[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]  Guangfu Ma,et al.  Cooperative control of nonlinear multi-agent systems with only relative position measurements , 2012, 2012 American Control Conference (ACC).

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

[21]  Shengyuan Xu,et al.  Distributed Containment Control with Multiple Dynamic Leaders for Double-Integrator Dynamics Using Only Position Measurements , 2012, IEEE Transactions on Automatic Control.

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

[23]  Ziyang Meng,et al.  Distributed cooperative tracking for multiple second-order nonlinear systems using only relative position measurements , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).