Distributed H∞ consensus control in directed networks

In this paper, the H∞ consensus problem of a group of linear multi-agent systems with strongly connected communication graph is addressed. To achieve H∞ consensus, a distributed consensus protocol based only on the relative states of the neighboring agents is proposed. By using tools from algebraic graph theory and Lyapunov stability analysis, it is theoretically shown that H∞ consensus in the closed-loop multi-agent systems can be achieved if the distributed consensus protocol is appropriately designed. Furthermore, a two-step algorithm is presented to construct such a protocol. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.

[1]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[2]  Wei Ren.  On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

[3]  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).

[4]  Guanrong Chen,et al.  Global consensus regions of multi-agent systems with nonlinear dynamics , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[5]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..

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

[7]  Z. Qu,et al.  Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles , 2009 .

[8]  Huijun Gao,et al.  Leaderless consensus control of dynamical agents under directed interaction topology , 2011, IEEE Conference on Decision and Control and European Control Conference.

[9]  Yang Liu,et al.  H ∞ consensus control for multi-agent systems with linear coupling dynamics and communication delays , 2012, Int. J. Syst. Sci..

[10]  A. S. Morse,et al.  Coordination of Groups of Mobile Autonomous Agents , 2004 .

[11]  Guanghui Wen,et al.  Consensus and its ℒ2-gain performance of multi-agent systems with intermittent information transmissions , 2012, Int. J. Control.

[12]  Wenwu Yu,et al.  Distributed Higher Order Consensus Protocols in , 2011 .

[13]  Z. Duan,et al.  Distributed consensus of multi-agent systems with general linear node dynamics through intermittent communications , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[14]  B. Hassibi,et al.  A sub-optimal algorithm to synthesize control laws for a network of dynamic agents , 2005 .

[15]  Lihua Xie,et al.  Global H∞ Consensus of Multi-Agent Systems with Lipschitz Nonlinear Dynamics , 2012, ArXiv.

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

[17]  Lui Sha,et al.  Real-time communication and coordination in embedded sensor networks , 2003, Proc. IEEE.

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

[19]  Michel Verhaegen,et al.  Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach , 2009, IEEE Transactions on Automatic Control.

[20]  J. G. Bender,et al.  An overview of systems studies of automated highway systems , 1991 .

[21]  Yingmin Jia,et al.  Distributed robust Hinfinity consensus control in directed networks of agents with time-delay , 2008, Syst. Control. Lett..

[22]  Guanghui Wen,et al.  Distributed H ∞ consensus of multi-agent systems: a performance region-based approach , 2012, Int. J. Control.

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

[24]  Kevin L. Moore,et al.  High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems , 2007 .

[25]  Zhisheng Duan,et al.  On H∞ and H2 performance regions of multi-agent systems , 2011, Autom..