Leader-following consensus control for linear multi-agents systems with switching directed topologies

This paper addresses the distributed leader-following consensus problem of multi-agent systems with general linear node dynamics and switching directed topologies. The possible underlying topologies consist of a null graph as well as several directed graphs with each of them containing a directed spanning trees with the leader being the root. A new kind of distributed controllers is constructed for each follower to guarantee that the states of the followers can track those of the leader asymptotically. By appropriately constructing a Lyapunov function and using tools from M-matrix theory, some sufficient conditions for achieving leader-following consensus are provided. Theoretical analysis is finally verified by performing numerical simulations.

[1]  Ying Tan,et al.  Robustness analysis of leader-follower consensus , 2009, J. Syst. Sci. Complex..

[2]  Guanghui Wen,et al.  Stochastic consensus in directed networks of agents with non-linear dynamics and repairable actuator failures , 2012 .

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

[4]  Guanghui Wen,et al.  Consensus tracking of nonlinear multi-agent systems with switching directed topologies , 2012, 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV).

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

[6]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[7]  Daizhan Cheng,et al.  Leader-following consensus of multi-agent systems under fixed and switching topologies , 2010, Syst. Control. Lett..

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

[9]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[10]  Zhong-Ping Jiang,et al.  A Distributed Control Approach to A Robust Output Regulation Problem for Multi-Agent Linear Systems , 2010, IEEE Transactions on Automatic Control.

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

[12]  Jinde Cao,et al.  Second-order leader-following consensus of nonlinear multi-agent systems via pinning control , 2010, Syst. Control. Lett..

[13]  Zhisheng Duan,et al.  Leader-follower consensus of multi-agent systems , 2009, 2009 American Control Conference.

[14]  Frank L. Lewis,et al.  Optimal Design for Synchronization of Cooperative Systems: State Feedback, Observer and Output Feedback , 2011, IEEE Transactions on Automatic Control.

[15]  Guoqiang Hu,et al.  Robust consensus tracking for an integrator-type multi-agent system with disturbances and unmodelled dynamics , 2011, Int. J. Control.

[16]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[17]  Guanghui Wen,et al.  Consensus in multi‐agent systems with communication constraints , 2012 .

[18]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[19]  Guanghui Wen,et al.  Consensus of multi‐agent systems with nonlinear dynamics and sampled‐data information: a delayed‐input approach , 2013 .