Consensus for multiple Euler-Lagrange dynamics with arbitrary sampling periods and event-triggered strategy

This paper investigates the consensus problem of multi-agent systems with Euler-Lagrange dynamics, under uniform sampling and arbitrary nonuniform sampling schemes, respectively. Firstly, we propose a protocol using both position and velocity information, and study the consensus conditions. Then we extend the results to the case of applying the event-triggered strategy, and analyze the corresponding consensus property. Simulation examples and comparisons verify the effectiveness of the proposed methods.

[1]  Zengqiang Chen,et al.  Event-triggered average-consensus of multi-agent systems with weighted and direct topology , 2012, J. Syst. Sci. Complex..

[2]  Huiping Li,et al.  Robust Distributed Model Predictive Control of Constrained Continuous-Time Nonlinear Systems: A Robustness Constraint Approach , 2014, IEEE Transactions on Automatic Control.

[3]  Long Wang,et al.  Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[4]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[5]  Jian Wu,et al.  Consensus in multi-agent systems with random delays governed by a Markov chain , 2011, Syst. Control. Lett..

[6]  Tongwen Chen,et al.  Sampled-Data Consensus for Multiple Double Integrators With Arbitrary Sampling , 2012, IEEE Transactions on Automatic Control.

[7]  Huiping Li,et al.  Distributed receding horizon control of large-scale nonlinear systems: Handling communication delays and disturbances , 2014, Autom..

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

[9]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[10]  Gang Feng,et al.  Distributed event-triggered control of multi-agent systems with combinational measurements , 2013, Autom..

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

[12]  Yongcan Cao,et al.  Sampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction , 2010, Int. J. Control.

[13]  K. Brown,et al.  Graduate Texts in Mathematics , 1982 .

[14]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

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