Collision-free consensus in second-order multi-agent dynamical systems

A collision-free consensus algorithm with leader tracking for multi-agent systems is presented. Virtual force is introduced for avoiding agents' inner collisions, and a method for choosing virtual force function is proposed. It is supposed that this kind of force is only effective when the distance between two agents is beyond a safe region. It performs repulsion function when the distances among agents get shorter, to separate agents from each other. With the presented consensus algorithm, agents match the leader's speed, operate following the leader, and keep a certain distance from each other. Lyapunov stability theorem is applied to prove the stability of the dynamic system. Simulation results verify the effectiveness of the proposed algorithm.

[1]  Xin-Ping Guan,et al.  A new framework of consensus protocol design for complex multi-agent systems , 2011, Syst. Control. Lett..

[2]  W. Ren.  Consensus strategies for cooperative control of vehicle formations , 2007 .

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

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

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

[6]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[7]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[8]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[9]  Ella M. Atkins,et al.  Second-order Consensus Protocols in Multiple Vehicle Systems with Local Interactions , 2005 .

[10]  Xavier Défago,et al.  Fault-tolerant flocking for a group of autonomous mobile robots , 2011, J. Syst. Softw..

[11]  Junping Du,et al.  Flocking for multi-agent systems with switching topology in a noisy environment , 2008, 2008 American Control Conference.

[12]  Bibhya N. Sharma,et al.  Flocking of Multi-agents in Constrained Environments , 2009 .