Consensus with connectivity preservation of uncertain Euler-lagrange multi-agent systems

The consensus problem for multiple Euler-lagrange systems has been extensively studied under various assumptions on the connectivity of the communication graph. In practice, it is desirable to enable the control law the capability of maintaining the connectivity of the communication graph, thus achieving consensus without assuming the connectivity of the communication graph. We call such a problem as consensus with connectivity preservation. In this paper, we will consider solving this problem for multiple uncertain Euler-lagrange systems. By combining the adaptive control technique and potential function technique, we will show that such a problem is solvable under a set of standard assumptions. By employing different potential functions, our approach will also lead to the solution of such problems as rendezvous, and flocking.

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

[2]  Chien Chern Cheah,et al.  Region-based shape control for a swarm of robots , 2009, Autom..

[3]  Jie Huang,et al.  Leader-following consensus of multiple uncertain Euler–Lagrange systems under switching network topology , 2014, Int. J. Gen. Syst..

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

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

[6]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[7]  Yi Dong,et al.  Leader-Following Connectivity Preservation Rendezvous of Multiple Double Integrator Systems Based on Position Measurement Only , 2014, IEEE Transactions on Automatic Control.

[8]  Zhiguo Liu,et al.  Distributed adaptive consensus for multiple mechanical systems with switching topologies and time-varying delay , 2014, Syst. Control. Lett..

[9]  George J. Pappas,et al.  Flocking while preserving network connectivity , 2007, 2007 46th IEEE Conference on Decision and Control.

[10]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[11]  Karl Henrik Johansson,et al.  Bounded control of network connectivity in multi-agent systems , 2010 .

[12]  Xiao Fan Wang,et al.  Rendezvous of multiple mobile agents with preserved network connectivity , 2010, Syst. Control. Lett..

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

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

[15]  Jie Chen,et al.  Distributed flocking of lagrangian systems with global connectivity maintenance , 2013, 2013 IEEE International Conference on Cyber Technology in Automation, Control and Intelligent Systems.

[16]  Magnus Egerstedt,et al.  Distributed Coordination Control of Multiagent Systems While Preserving Connectedness , 2007, IEEE Transactions on Robotics.

[17]  Yi Dong,et al.  A leader-following rendezvous problem of double integrator multi-agent systems , 2013, Autom..

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

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

[20]  Haibo Min,et al.  Coordination Control of Networked Euler-Lagrange Systems with Possible Switching Topology , 2013 .

[21]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .