Average-Consensus Filter of First-Order Multi-Agent Systems With Disturbances

Average-consensus filter problem of assigned constant inputs is investigated for the first-order multi-agent systems with heterogeneous disturbances, and a proportional-integral consensus filter algorithm accompanied with disturbances’ observers is designed. By using matrix theory and frequency-domain analysis, sufficient and necessary convergence conditions are obtained for our proposed algorithm without and with identical communication delay, respectively. Numerical simulations illustrate the correctness of theoretical results.

[1]  Farzaneh Abdollahi,et al.  Average Consensus Over High-Order Multiagent Systems , 2015, IEEE Transactions on Automatic Control.

[2]  Yi Guo,et al.  Distributed consensus filter on directed switching graphs , 2015 .

[3]  Randy A. Freeman,et al.  Robust dynamic average consensus of time-varying inputs , 2010, 49th IEEE Conference on Decision and Control (CDC).

[4]  Manfredi Maggiore,et al.  Necessary and sufficient graphical conditions for formation control of unicycles , 2005, IEEE Transactions on Automatic Control.

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

[6]  Christoforos N. Hadjicostis,et al.  Average Consensus in the Presence of Delays in Directed Graph Topologies , 2014, IEEE Transactions on Automatic Control.

[7]  Yan Shi,et al.  Disturbance-Observer-Based Robust Synchronization Control for a Class of Fractional-Order Chaotic Systems , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[8]  Randy A. Freeman,et al.  Multi-Agent Coordination by Decentralized Estimation and Control , 2008, IEEE Transactions on Automatic Control.

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

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

[11]  Tingwen Huang,et al.  Event-Based Consensus Control for a Linear Directed Multiagent System With Time Delay , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  R. Olfati-Saber,et al.  Consensus Filters for Sensor Networks and Distributed Sensor Fusion , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[13]  Peng Lin,et al.  Average consensus in networks of multi-agents with both switching topology and coupling time-delay , 2008 .

[14]  Lihua Xie,et al.  Sampled-data based average consensus with logarithmic quantizers , 2012, Proceedings of the 31st Chinese Control Conference.

[15]  Lei Guo,et al.  Disturbance-Observer-Based Control and Related Methods—An Overview , 2016, IEEE Transactions on Industrial Electronics.

[16]  James Lam,et al.  Distributed active anti-disturbance output consensus algorithms for higher-order multi-agent systems with mismatched disturbances , 2016, Autom..

[17]  Guang-Hong Yang,et al.  Consensus of Linear Multiagent Systems With Actuator Saturation and External Disturbances , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[19]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[20]  Farzaneh Abdollahi,et al.  Consensus Problem Over High-Order Multiagent Systems With Uncertain Nonlinearities Under Deterministic and Stochastic Topologies. , 2016, IEEE transactions on cybernetics.

[21]  Dongmei Xie,et al.  Second-order group consensus for multi-agent systems with time delays , 2015, Neurocomputing.

[22]  W. Rudin.  Principles of mathematical analysis , 1964 .

[23]  Cheng-Lin Liu,et al.  Consensus Problem of Delayed Linear Multi-agent Systems , 2017 .

[24]  Kai Cai,et al.  Average Consensus on Arbitrary Strongly Connected Digraphs With Time-Varying Topologies , 2013, IEEE Transactions on Automatic Control.

[25]  Wei Xing Zheng,et al.  GPIO-Based Robust Control of Nonlinear Uncertain Systems Under Time-Varying Disturbance With Application to DC–DC Converter , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[26]  Zhiqiang Cao,et al.  Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises , 2013, Autom..

[27]  Andrea Gasparri,et al.  Average consensus on strongly connected weighted digraphs: A generalized error bound , 2015, Autom..