Distributed high-order finite-time consensus algorithm for multi-agent systems

This paper addresses the problem of finite-time consensus for multi-agent systems with high-order dynamics. Based on the adding a power integrator technique and the neighbor-based rule, a class of distributed high-order finite-time consensus algorithms are explicitly constructed. Under the proposed finite-time control law, it is shown that the states consensus can be achieved in a finite time. An example is employed to verify the efficiency of the proposed method.

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

[2]  Yiguang Hong,et al.  Finite-Time Consensus for Multi-Agent Networks with Second-Order Agent Dynamics , 2008 .

[3]  W. Ren.  Consensus strategies for cooperative control of vehicle formations , 2007 .

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

[5]  Ji-Feng Zhang,et al.  Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems , 2010, IEEE Transactions on Automatic Control.

[6]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[7]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[8]  Yiguang Hong,et al.  Distributed Observers Design for Leader-Following Control of Multi-Agent Networks (Extended Version) , 2017, 1801.00258.

[9]  R. Jackson.  Inequalities , 2007, Algebra for Parents.

[10]  Qinglei Hu,et al.  6 DOF synchronized control for spacecraft formation flying with input constraint and parameter uncertainties. , 2011, ISA transactions.

[11]  Daizhan Cheng,et al.  Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection , 2007, IEEE Transactions on Automatic Control.

[12]  Long Wang,et al.  Consensus seeking of high-order dynamic multi-agent systems with fixed and switching topologies , 2010, Int. J. Control.

[13]  Min-Jea Tahk,et al.  Homing Guidance Law for Cooperative Attack of Multiple Missiles , 2010 .

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

[15]  W. Ren.  Distributed attitude alignment in spacecraft formation flying , 2007 .

[16]  Dimos V. Dimarogonas,et al.  Leader-follower cooperative attitude control of multiple rigid bodies , 2008, ACC.

[17]  Kevin L. Moore,et al.  High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems , 2007 .

[18]  Chunjiang Qian,et al.  An expanded method to robustly stabilize uncertain nonlinear systems , 2008, Commun. Inf. Syst..

[19]  Yu-Ping Tian,et al.  On the general consensus protocol of multi-agent systems with double-integrator dynamics , 2009 .

[20]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[21]  Daizhan Cheng,et al.  Consensus of multi-agent linear dynamic systems† , 2008 .

[22]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[23]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[24]  Sergio Barbarossa,et al.  Distributed Decision Through Self-Synchronizing Sensor Networks in the Presence of Propagation Delays and Asymmetric Channels , 2007, IEEE Transactions on Signal Processing.

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

[26]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[27]  Wei Ren.  On Consensus Algorithms for Double-Integrator Dynamics , 2008, IEEE Trans. Autom. Control..

[28]  Wenwu Yu,et al.  Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[30]  Long Wang,et al.  Finite-time formation control for multi-agent systems , 2009, Autom..

[31]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[32]  Jay A. Farrell,et al.  Decentralized cooperative control of multiple nonholonomic dynamic systems with uncertainty , 2009, Autom..

[33]  Sanjay P. Bhat,et al.  Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks , 2008, IEEE Transactions on Automatic Control.

[34]  Shihua Li,et al.  Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics , 2011, Autom..

[35]  Haibo Jiang,et al.  Consensus of multi-agent linear dynamic systems via impulsive control protocols , 2011, Int. J. Syst. Sci..

[36]  Dimos V. Dimarogonas,et al.  On the Rendezvous Problem for Multiple Nonholonomic Agents , 2007, IEEE Transactions on Automatic Control.

[37]  Guodong Shi,et al.  Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies , 2009, Autom..