Finite-time consensus of linear multi-agent system via distributed event-triggered strategy

Abstract In this paper, we mainly investigate the finite-time consensus problem of general linear multi-agent systems. The paper proposed a suitable event-triggered control strategy. The strategy has some desirable properties including: distributed, independent, and asynchronous. It is theoretical demonstrated that the multi-agent system can achieve consensus in a certain time regardless of the initial condition under this event-triggered control scheme. In addition, without finding singular triggering problem, we prove the feasibility of this proposed event-triggered control protocol. Finally, we put forward some simulation graphs for the sake of showing the availability of our conclusions.

[1]  Long Cheng,et al.  A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies , 2014, IEEE Transactions on Automatic Control.

[2]  V. Kučera.  A contribution to matrix quadratic equations , 1972 .

[3]  K. Åström,et al.  Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems , 1999 .

[4]  Wenwu Yu,et al.  Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Xinghuo Yu,et al.  Distributed Event-Triggered Scheme for Economic Dispatch in Smart Grids , 2016, IEEE Transactions on Industrial Informatics.

[6]  Wei Xing Zheng,et al.  Coordination of Multiple Agents With Double-Integrator Dynamics Under Generalized Interaction Topologies , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  Deyuan Meng,et al.  Iterative learning approaches to design finite-time consensus protocols for multi-agent systems , 2012, Syst. Control. Lett..

[8]  Xinghuo Yu,et al.  Asynchronous impulsive containment control in switched multi-agent systems , 2016, Inf. Sci..

[9]  Long Wang,et al.  Finite-Time Consensus Problems for Networks of Dynamic Agents , 2007, IEEE Transactions on Automatic Control.

[10]  Mingjie Cai,et al.  Adaptive finite-time consensus protocols for multi-agent systems by using neural networks , 2016 .

[11]  Xiaogao Xie,et al.  Decision Making and Finite-Time Motion Control for a Group of Robots , 2013, IEEE Transactions on Cybernetics.

[12]  Ahmed Rahmani,et al.  Distributed finite-time consensus tracking for nonlinear multi-agent systems with a time-varying reference state , 2016, Int. J. Syst. Sci..

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

[14]  Kairui Chen,et al.  Adaptive leader-following consensus of nonlinear multi-agent systems with jointly connected topology , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[15]  Gang Feng,et al.  Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy , 2016, IEEE Transactions on Cybernetics.

[16]  Sanjay P. Bhat,et al.  Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks , 2008, IEEE Transactions on Automatic Control.

[17]  Shihua Li,et al.  Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics , 2011, Autom..

[18]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

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

[20]  Ahmed Rahmani,et al.  Consensus tracking for second-order nonlinear multi-agent systems with switching topologies and a time-varying reference state , 2016, Int. J. Control.

[21]  Sanjay P. Bhat,et al.  Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria , 2009, IEEE Transactions on Automatic Control.

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

[23]  Long Wang,et al.  Finite-time formation control for multi-agent systems , 2009, Autom..

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

[25]  Guangming Xie,et al.  Containment control for second-order multi-agent systems with time-varying delays , 2014, Syst. Control. Lett..

[26]  Frank L. Lewis,et al.  Finite-time distributed consensus via binary control protocols , 2011, Autom..

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

[28]  Michael Defoort,et al.  Leader-follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics , 2015 .

[29]  Robert Bosch,et al.  Comparison of Event-Triggered and Time-Triggered Concepts with Regard to Distributed Control Systems , 2004 .

[30]  Jorge Cortés,et al.  Finite-time convergent gradient flows with applications to network consensus , 2006, Autom..

[31]  Ahmed Rahmani,et al.  Distributed consensus-based formation control for multiple nonholonomic mobile robots with a specified reference trajectory , 2015, Int. J. Syst. Sci..

[32]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

[33]  Karl Henrik Johansson,et al.  Event-based broadcasting for multi-agent average consensus , 2013, Autom..

[34]  Huajing Fang,et al.  Weighted Average Prediction for Improving Consensus Performance of Second-Order Delayed Multi-Agent Systems , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).