Consensus of Leader-Following Multi-Agent Systems with Sampling Information under Directed Networks

The consensus algorithm is proposed to solve the bounded consensus tracking problems of leader-following multi-agent systems under directed networks, where the control input of an agent can only use the information measured at the sampling instants from its neighbors or the virtual leader. Based on the delay decomposition approach, the augmented matrix method and the frequency domain analysis, the necessary and sufficient conditions are obtained, which guarantee that the bounded consensus tracking is realized.

[1]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[2]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[3]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

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

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

[6]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

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

[8]  Jiangping Hu,et al.  Leader-following coordination of multi-agent systems with coupling time delays , 2007, 0705.0401.

[9]  Wei Ren,et al.  Multi-vehicle consensus with a time-varying reference state , 2007, Syst. Control. Lett..

[10]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[11]  Guangming Xie,et al.  Controllability of a Leader–Follower Dynamic Network With Switching Topology , 2008, IEEE Transactions on Automatic Control.

[12]  Guangming Xie,et al.  Consensus in networked multi-agent systems via sampled control: Fixed topology case , 2009, 2009 American Control Conference.

[13]  Guangming Xie,et al.  Consensus in networked multi-agent systems via sampled control: Switching topology case , 2009, 2009 American Control Conference.

[14]  Tao Li,et al.  Sampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle , 2009, Science in China Series F: Information Sciences.

[15]  J. Ruan,et al.  Consensus in noisy environments with switching topology and time-varying delays , 2010 .

[16]  Long Wang,et al.  Finite-Time Consensus Problems for Networks of Dynamic Agents , 2007, IEEE Transactions on Automatic Control.

[17]  Zongying Shi,et al.  Consensus analysis and design for high-order linear swarm systems with time-varying delays , 2011 .

[18]  Tingzhu Huang,et al.  Leader-Following Consensus in Networks of Agents with Nonuniform Time-Varying Delays , 2012 .

[19]  Long Wang,et al.  Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements , 2012, Syst. Control. Lett..

[20]  Guoqiang Hu,et al.  Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs , 2013, Syst. Control. Lett..

[21]  Yongli Cheng,et al.  Distributed observer design for bounded tracking control of leader-follower multi-agent systems in a sampled-data setting , 2014, Int. J. Control.

[22]  Xieyan Zhang,et al.  Sampled-data Consensus of Multi-agent Systems with General Linear Dynamics Based on a Continuous-time Model , 2014 .

[23]  Ge Guo,et al.  Sampled-data leader-following consensus for nonlinear multi-agent systems with Markovian switching topologies and communication delay , 2015, J. Frankl. Inst..

[24]  Tingwen Huang,et al.  Constrained consensus of asynchronous discrete-time multi-agent systems with time-varying topology , 2015, Inf. Sci..