Finite-time consensus for heterogeneous multi-agent systems with mixed-order agents

This paper studies the finite-time consensus for heterogeneous multi-agent systems composed of mixed-order agents over fixed and switching topologies. The control protocol of each agent using local information is designed and the detailed analysis of the finite-time consensus for fixed and switching interaction topologies is presented. The design of the finite-time consensus protocol is based on graph theory, matrix theory, and LaSalle’s invariance principle. Both theoretical studies and simulation results show the effectiveness of the proposed method and the correctness of the obtained theoretical results.

[1]  Guangming Xie,et al.  Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays , 2008, Syst. Control. Lett..

[2]  Long Wang,et al.  Finite-time information consensus for multi-agent systems with fixed and switching topologies , 2009 .

[3]  Sonia Martínez,et al.  Discrete-time dynamic average consensus , 2010, Autom..

[4]  Xiwei Liu Distributed nonlinear control algorithms for network consensus , 2010 .

[5]  S. Bhat,et al.  Finite-time semistability, Filippov systems, and consensus protocols for nonlinear dynamical networks with switching topologies , 2010 .

[6]  Xiaoli Wang,et al.  Distributed finite-time χ-consensus algorithms for multi-agent systems with variable coupling topology , 2010, J. Syst. Sci. Complex..

[7]  Ella M. Atkins,et al.  Distributed multi‐vehicle coordinated control via local information exchange , 2007 .

[8]  C.N. Hadjicostis,et al.  Finite-Time Distributed Consensus in Graphs with Time-Invariant Topologies , 2007, 2007 American Control Conference.

[9]  Wei Xing Zheng,et al.  Consensus of multiple second-order vehicles with a time-varying reference signal under directed topology , 2011, Autom..

[10]  Jürgen Kurths,et al.  Consensus over directed static networks with arbitrary finite communication delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  M. Spong,et al.  Agreement with non-uniform information delays , 2006, 2006 American Control Conference.

[12]  Yan-Wu Wang,et al.  Mean square average-consensus for multi-agent systems with measurement noise and time delay , 2013, Int. J. Syst. Sci..

[13]  Jing Zhou,et al.  Convergence speed in distributed consensus over dynamically switching random networks , 2009, Autom..

[14]  Seif Haridi,et al.  Distributed Algorithms , 1992, Lecture Notes in Computer Science.

[15]  Sarika Jalan,et al.  Self-organized and driven phase synchronization in coupled map networks , 2003 .

[16]  Guanghui Wen,et al.  Consensus in multi‐agent systems with communication constraints , 2012 .

[17]  L. Rosier Homogeneous Lyapunov function for homogeneous continuous vector field , 1992 .

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

[19]  Fei Liu,et al.  Stationary consensus of heterogeneous multi-agent systems with bounded communication delays , 2011, Autom..

[20]  N. Rouche,et al.  Stability Theory by Liapunov's Direct Method , 1977 .

[21]  Abdelkader Abdessameud,et al.  On consensus algorithms for double-integrator dynamics without velocity measurements and with input constraints , 2010, Syst. Control. Lett..

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

[23]  Jean-Charles Delvenne,et al.  Optimal strategies in the average consensus problem , 2007, 2007 46th IEEE Conference on Decision and Control.

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

[25]  Zongli Lin,et al.  Flocking of Multi-Agents With a Virtual Leader , 2009, IEEE Transactions on Automatic Control.

[26]  Jorge Cortés,et al.  Distributed algorithms for reaching consensus on general functions , 2008, Autom..

[27]  Masoud Shafiee,et al.  Time-Delay Dependent Stability Robustness of Small-World Protocols for Fast Distributed Consensus Seeking , 2007, 2007 5th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks and Workshops.

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

[29]  Lan Xiang,et al.  Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays , 2012, Int. J. Syst. Sci..