Group consensus for a class of discrete-time heterogeneous multi-agent systems in directed topology

This paper considers the group consensus problem for a class of discrete-time heterogeneous multi-agent systems composed of first-order and second-order agents with directed topology. The discrete-time heterogenous multi-agent systems reaching group consensus is proved and the convergent points of such system are found. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical results.

[1]  Guangming Xie,et al.  Consensus for heterogeneous multi-agent systems under fixed and switching topologies , 2015, J. Frankl. Inst..

[2]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[3]  Yanping Gao,et al.  Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology , 2013, J. Appl. Math..

[4]  Long Wang,et al.  Group consensus in multi-agent systems with switching topologies and communication delays , 2010, Syst. Control. Lett..

[5]  Yue Han,et al.  Group controllability of discrete-time multi-agent systems , 2016, J. Frankl. Inst..

[6]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

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

[8]  Jianbin Qiu,et al.  A New Design of Delay-Dependent Robust ${\cal H}_{\bm \infty}$ Filtering for Discrete-Time T--S Fuzzy Systems With Time-Varying Delay , 2009, IEEE Transactions on Fuzzy Systems.

[9]  Liu Derong Consensus protocol in networked multi-agent systems with non-balanced topology , 2009 .

[10]  Long Wang,et al.  Finite-time consensus of multiple second-order dynamic agents without velocity measurements , 2014, Int. J. Syst. Sci..

[11]  Shengyuan Xu,et al.  Group consensus control for double‐integrator dynamic multiagent systems with fixed communication topology , 2014 .

[12]  Li Jianzhen Consensus control for a class of heterogeneous multi-Agent systems , 2013 .

[13]  Wang Jian-An Adaptive generalized synchronization between two different complex networks with time-varying delay coupling , 2012 .

[14]  Bo Liu,et al.  Second-order synchronization of two nonlinear coupled networks with heterogeneous nonlinear dynamics and time-varying delays , 2016, 2016 35th Chinese Control Conference (CCC).

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

[16]  Bo Liu,et al.  Synchronization Analysis in Local-Interaction Networks with Time-Varying Delays , 2010, 2010 International Workshop on Chaos-Fractal Theories and Applications.

[17]  Jianbin Qiu,et al.  Observer-Based Piecewise Affine Output Feedback Controller Synthesis of Continuous-Time T–S Fuzzy Affine Dynamic Systems Using Quantized Measurements , 2012, IEEE Transactions on Fuzzy Systems.

[18]  Jitao Sun,et al.  Consensus of discrete-time linear multi-agent systems with Markov switching topologies and time-delay , 2015, Neurocomputing.

[19]  Reza Olfati-Saber,et al.  Consensus and Cooperation in Networked Multi-Agent Systems , 2007, Proceedings of the IEEE.

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

[21]  Zhen Wang,et al.  Second-order group consensus for multi-agent systems via pinning leader-following approach , 2014, J. Frankl. Inst..

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

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

[24]  Dong Yue,et al.  Event-triggered tracking control for heterogeneous multi-agent systems with Markov communication delays , 2013, J. Frankl. Inst..

[25]  Long Wang,et al.  A novel group consensus protocol for heterogeneous multi-agent systems , 2015, Int. J. Control.

[26]  Jiangping Hu,et al.  Group consensus in multi-agent systems with sampled data , 2013, Proceedings of the 32nd Chinese Control Conference.

[27]  Michael Athans,et al.  Convergence and asymptotic agreement in distributed decision problems , 1982, 1982 21st IEEE Conference on Decision and Control.

[28]  Yongduan Song,et al.  Consensus stability of a class of second-order multi-agent systems with nonuniform time-delays , 2014, J. Frankl. Inst..

[29]  A. Jadbabaie,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[31]  Jianbin Qiu,et al.  Fuzzy-Model-Based Piecewise ${\mathscr H}_{\infty }$ Static-Output-Feedback Controller Design for Networked Nonlinear Systems , 2010, IEEE Transactions on Fuzzy Systems.

[32]  Wang Li,et al.  Adaptive synchronization of two time-varying delay nonlinear coupled networks , 2014, Proceedings of the 33rd Chinese Control Conference.

[33]  Jianzhen Li,et al.  Consensus control for a class of heterogeneous multi-Agent systems: Consensus control for a class of heterogeneous multi-Agent systems , 2013 .

[34]  Ting-Zhu Huang,et al.  Consensus of second-order multi-agent systems with nonuniform time-varying delays , 2012, Neurocomputing.

[35]  Wang Xing-Yuan Adaptive synchronization in complex networks through nonlinearly coupling , 2012 .

[36]  Zhiyong Yu,et al.  Leader-following consensus of fractional-order multi-agent systems under fixed topology , 2015, Neurocomputing.

[37]  Jinde Cao,et al.  Distributed node-to-node consensus of multi-agent systems with time-varying pinning links , 2015, Neurocomputing.