Robust L₂ − L_∞ consensus control for uncertain high-order multi-agent systems with time-delay

References

• Beard , R , McLain , T , Goodrich , M and Anderson , E . 2002 . Coordinated Target Assignment and Intercept for Unmanned Air Vehicles . IEEE Transactions on Automatic Control , 18 : 911 – 922 .
   Google Scholar
• Bliman , P-A and Ferrari-Trecate , G . 2008 . Average Consensus Problems in Networks of Agents with Delayed Communications . Automatica , 44 : 1985 – 1995 . doi: 10.1016/j.automatica.2007.12.010
   Web of Science ®Google Scholar
• Cheng , L , Hou , Z-G , Lin , Y Z , Tan , M and Zhang , W J . 2011 . Solving a Modified Consensus Problem of Linear Multi-agent Systems . Automatica , 47 : 2218 – 2223 . doi: 10.1016/j.automatica.2011.03.014
   Web of Science ®Google Scholar
• Cheng , L , Hou , Z G , Tan , M , Lin , Y Z and Zhang , W J . 2010 . Neural-network-based Adaptive Leader-following Control for Multiagent Systems with Uncertainties . IEEE Transactions on Neural Networks , 21 : 1351 – 1358 . doi: 10.1109/TNN.2010.2050601
   PubMed Web of Science ®Google Scholar
• Das , A and Lewis , F L . 2010 . Distributed Adaptive Control for Synchronization of Unknown Nonlinear Networked Systems . Automatica , 46 : 2014 – 2021 . doi: 10.1016/j.automatica.2010.08.008
   Web of Science ®Google Scholar
• De Souza , C E and Li , X . 1999 . Delay-dependent Robust H ∞ Control of Uncertain Linear State-delayed Systems . Automatica , 35 : 1313 – 1321 . doi: 10.1016/S0005-1098(99)00025-4
   Web of Science ®Google Scholar
• Godsil , C and Royle , G . 2001 . Algebraic Graph Theory , New York : Springer-Verlag .
   Google Scholar
• Hatano , Y and Mesbahi , M . 2005 . Agreement Over Random Networks . IEEE Transactions on Automatic Control , 50 : 1867 – 1872 . 2005 doi: 10.1109/TAC.2005.858670
   Web of Science ®Google Scholar
• Hong , Y G , Chen , G R and Bushnellc , L . 2008 . Distributed Observers Design for Leader-following Control of Multi-agent Networks . Automatica , 44 : 846 – 850 . doi: 10.1016/j.automatica.2007.07.004
   Web of Science ®Google Scholar
• Hou , Z G , Cheng , L and Tan , M . 2009 . Decentralised Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks . IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics , 39 : 636 – 647 . doi: 10.1109/TSMCB.2008.2007810
   PubMed Web of Science ®Google Scholar
• Jadbabaie , A , Lin , J and Morse , A S . 2003 . Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules . IEEE Transactions on Automatic Control , 48 : 988 – 1001 . doi: 10.1109/TAC.2003.812781
   Web of Science ®Google Scholar
• Jia , Y M . 2007 . Robust H _∞ Control , Beijing : Science Press .
   Google Scholar
• Li , S B , Wang , J , Luo , X Y and Guan , X P . 2011 . A New Framework of Consensus Protocol Design for Complex Multi-agent Systems . Systems and Control Letters , 60 : 19 – 26 . doi: 10.1016/j.sysconle.2010.10.003
   Web of Science ®Google Scholar
• Li , T and Zhang , J F . 2010 . Consensus Conditions of Multi-agent Systems with Time-varying Topologies and Stochastic Communication Noises . IEEE Transactions on Automatic Control , 55 : 2043 – 2057 . doi: 10.1109/TAC.2010.2042982
   Web of Science ®Google Scholar
• Li , W and Dai , H . 2009 . Cluster-based Distributed Consensus . IEEE Transanctions on Wireless Communication , 8 : 28 – 31 . doi: 10.1109/T-WC.2009.071146
   Web of Science ®Google Scholar
• Li , Z K , Duan , Z S , Chen , G R and Huang , L . 2010 . Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint . IEEE Transactions on Circuits Systems , 57 : 213 – 224 .
   Google Scholar
• Lin , P , Jia , Y M and Li , L . 2008 . Distributed Robust H ∞ Consensus Control in Directed Networks of Agents with Time-delay . Systems and Control Letters , 57 : 643 – 653 . doi: 10.1016/j.sysconle.2008.01.002
   Web of Science ®Google Scholar
• Liu , Y and Jia , Y M . 2012 . H ∞ Consensus Control for Multi-agent Systems with Linear Coupling Dynamics and Communication Delays . International Journal of Systems Science , 43 : 50 – 56 . doi: 10.1080/00207721003768167
   Web of Science ®Google Scholar
• Ma , C Q and Zhang , J F . 2010 . Necessary and Sufficient Conditions for Consensus Ability of Linear Multi-agent Systems . IEEE Transactions on Automatic Control , 55 : 1263 – 1268 . doi: 10.1109/TAC.2010.2042764
   Web of Science ®Google Scholar
• Martínez , S . 2009 . Practical Multiagent Rendezvous Through Modified Circumcenter Algorithms . Automatica , 45 : 2010 – 2017 . doi: 10.1016/j.automatica.2009.05.013
   Web of Science ®Google Scholar
• Olfati-Saber , R . 2006 . Flocking for Multi-agent Dynamic Systems: Algorithms and Theory . IEEE Transactions on Automatic Control , 51 : 401 – 420 . doi: 10.1109/TAC.2005.864190
   Web of Science ®Google Scholar
• Olfati-Saber , R and Murray , R M . 2004 . Consensus Problems in Networks of Agents with Switching Topology and Time-delays . IEEE Transactions on Automatic Control , 49 : 1520 – 1533 . doi: 10.1109/TAC.2004.834113
   Web of Science ®Google Scholar
• Porfiria , M , Robersonb , D and Stilwell , D . 2007 . Tracking and Formation Control of Multiple Autonomous Agents: A Two-level Consensus Approach . Automatica , 43 : 1318 – 1328 . doi: 10.1016/j.automatica.2007.01.004
   Web of Science ®Google Scholar
• Ren , W . 2007 . Distributed Multi-vehicle Coordinated Control via Local Information Exchange . International Journal of Robust and Nonlinear Control , 17 : 1002 – 1033 . doi: 10.1002/rnc.1147
   Web of Science ®Google Scholar
• Ren , W , Moore , K L and Chen , Y Q . 2007 . High-order Consensus and Model Reference Consensus Algorithms in Cooperative Control of Multivehicle Systems . Journal of Dynamic Systems, Measurement, and Control , 129 : 678 – 688 . doi: 10.1115/1.2764508
   Web of Science ®Google Scholar
• Sun , Y G , Wang , L and Xie , G M . 2008 . Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays . Systems and Control Letters , 57 : 175 – 183 . doi: 10.1016/j.sysconle.2007.08.009
   Web of Science ®Google Scholar
• Tian , Y P . 2011 . High-order Consensus of Heterogeneous Multi-agent Systems . Proceedings of the 8th Asian Control Conference . 2011 . pp. 341 – 346 . Kaohsiung , , Taiwan, May 15–18
   Google Scholar
• Vicsek , T , Cziroók , A , Ben-Jacob , E , Cohen , I and Shochet , D . 1995 . Novel Type of Phase Transition in A System of Self-driven Particles . Physical Review Letters , 75 : 1226 – 1229 . doi: 10.1103/PhysRevLett.75.1226
   PubMed Web of Science ®Google Scholar
• Walle , D , Fidan , B , Sutton , A , Yu , C and Anderson , B . 2008 . Non-hierarchical UAV Formation Control for Surveillance Tasks . Proceedings of the 27th American Control Conference . 2008 . pp. 777 – 782 . Seattle , , Washington, June 2008
   Google Scholar
• Xiao , F , Wang , L and Chen , T W . 2012 . Connectivity Preservation for Multi-agent Rendezvous with Link Failure . Automatica , 48 : 25 – 35 . doi: 10.1016/j.automatica.2011.09.027
   Web of Science ®Google Scholar