Multi-Agent Cooperative Control Consensus: A Comparative Review

Cooperative control consensus is one of the most actively studied topics within the realm of multi-agent systems. It generally aims to drive multi-agent systems to achieve a common group objective. The core aim of this paper is to promote research in cooperative control community by presenting the latest trends in this field. A summary of theoretical results regarding consensus for agreement analysis for complex dynamic systems and time-invariant information exchange topologies is briefly described in a unified way. The application under both non-formation and formation cooperative control consensus for multi-agent system also investigated. In addition, future recommendations and some open problems are also proposed.

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

[2]  Yan Meng,et al.  A morphogenetic approach to flexible and robust shape formation for swarm robotic systems , 2013, Robotics Auton. Syst..

[3]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[4]  Luca Maria Gambardella,et al.  Self-organized cooperation between robotic swarms , 2011, Swarm Intelligence.

[5]  Lihua Xie,et al.  Distributed Consensus With Limited Communication Data Rate , 2011, IEEE Transactions on Automatic Control.

[6]  Mireille E. Broucke,et al.  Local control strategies for groups of mobile autonomous agents , 2004, IEEE Transactions on Automatic Control.

[7]  Long Wang,et al.  Asynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[8]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..

[9]  Dong Sun,et al.  Rendezvous of unicycles: A bearings-only and perimeter shortening approach , 2013, Syst. Control. Lett..

[10]  Chen Chen,et al.  Consensus of flocks under M-nearest-neighbor rules , 2015, J. Syst. Sci. Complex..

[11]  Oliver Mason,et al.  D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems , 2010, IEEE Transactions on Automatic Control.

[12]  Zhong-Ping Jiang,et al.  A Distributed Control Approach to A Robust Output Regulation Problem for Multi-Agent Linear Systems , 2010, IEEE Transactions on Automatic Control.

[13]  Mireille E. Broucke,et al.  Curve Shortening and the Rendezvous Problem for Mobile Autonomous Robots , 2006, IEEE Transactions on Automatic Control.

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

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

[16]  Eliseo Ferrante,et al.  Swarm robotics: a review from the swarm engineering perspective , 2013, Swarm Intelligence.

[17]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[18]  Jie Yang,et al.  A bounded controller for multirobot navigation while maintaining network connectivity in the presence of obstacles , 2013, Autom..

[19]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

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

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

[22]  Zidong Wang,et al.  Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Brian D. O. Anderson,et al.  Formation control using range-only measurements , 2011, Autom..

[24]  Jie Chen,et al.  Towards Energy Optimization: Emergent Task Allocation in a Swarm of Foraging Robots , 2007, Adapt. Behav..

[25]  Jie Zhao,et al.  Applications of Chaotic Dynamics in Robotics , 2016 .

[26]  Long Wang,et al.  Sampled-Data Based Consensus of Continuous-Time Multi-Agent Systems With Time-Varying Topology , 2011, IEEE Transactions on Automatic Control.

[27]  P. Antsaklis,et al.  Asynchronous Consensus Protocols Using Nonlinear Paracontractions Theory , 2008, IEEE Transactions on Automatic Control.

[28]  Magnus Egerstedt,et al.  Distributed Coordination Control of Multiagent Systems While Preserving Connectedness , 2007, IEEE Transactions on Robotics.

[29]  Xin-Ping Guan,et al.  A new framework of consensus protocol design for complex multi-agent systems , 2011, Syst. Control. Lett..

[30]  Yu-Ping Tian,et al.  Consensus of Data-Sampled Multi-Agent Systems With Random Communication Delay and Packet Loss , 2010, IEEE Transactions on Automatic Control.

[31]  Romeo Ortega,et al.  Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays , 2011, IEEE Transactions on Automatic Control.

[32]  Murat Arcak,et al.  Scaling the size of a formation using relative position feedback , 2012, Autom..

[33]  Ziyang Meng,et al.  Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking , 2010, Syst. Control. Lett..

[34]  Brian D. O. Anderson,et al.  The Multi-Agent Rendezvous Problem. Part 2: The Asynchronous Case , 2007, SIAM J. Control. Optim..

[35]  Jiangping Hu,et al.  Distributed tracking control of leader-follower multi-agent systems under noisy measurement , 2011, Autom..

[36]  Magnus Egerstedt,et al.  Robust Graph Topologies for Networked Systems , 2012 .

[37]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[38]  Yu-Ping Tian,et al.  Consensus of Multi-Agent Systems With Diverse Input and Communication Delays , 2008, IEEE Transactions on Automatic Control.

[39]  Alexandre Morin,et al.  Collective motion with anticipation: flocking, spinning, and swarming. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  John N. Tsitsiklis,et al.  Convergence Speed in Distributed Consensus and Averaging , 2009, SIAM J. Control. Optim..

[41]  Felipe Cucker,et al.  A General Collision-Avoiding Flocking Framework , 2011, IEEE Transactions on Automatic Control.

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

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

[44]  Wei Ren,et al.  Distributed Cooperative Attitude Synchronization and Tracking for Multiple Rigid Bodies , 2010, IEEE Transactions on Control Systems Technology.

[45]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[46]  Derek A. Paley,et al.  Three-Dimensional Motion Coordination in a Spatiotemporal Flowfield , 2010, IEEE Transactions on Automatic Control.

[47]  Ju H. Park,et al.  Leader-following consensus problem of heterogeneous multi-agent systems with nonlinear dynamics using fuzzy disturbance observer , 2014, Complex..

[48]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[49]  G. Laman.  On graphs and rigidity of plane skeletal structures , 1970 .

[50]  Ruggero Carli,et al.  Quantized Coordination Algorithms for Rendezvous and Deployment , 2009, SIAM J. Control. Optim..

[51]  Xudong Ye,et al.  Cooperative Output Regulation of Heterogeneous Multi-Agent Systems: An $H_{\infty}$ Criterion , 2014, IEEE Transactions on Automatic Control.

[52]  Yoonsoo Kim,et al.  Bisection algorithm of increasing algebraic connectivity by adding an edge , 2009, 2009 17th Mediterranean Conference on Control and Automation.

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

[54]  B. Anderson,et al.  Directed graphs for the analysis of rigidity and persistence in autonomous agent systems , 2007 .

[55]  Mehran Mesbahi,et al.  On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian , 2006, IEEE Transactions on Automatic Control.

[56]  Zhong-Ping Jiang,et al.  Distributed output regulation of leader–follower multi‐agent systems , 2013 .

[57]  Robin J. Evans,et al.  Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates , 2004, SIAM J. Control. Optim..

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

[59]  Jean-Jacques E. Slotine,et al.  Contraction analysis of time-delayed communications and group cooperation , 2006, IEEE Transactions on Automatic Control.

[60]  Yuangong Sun,et al.  Stability analysis of flocking for multi-agent dynamic systems , 2013 .

[61]  Dong Sun,et al.  Coordinated Motion Planning for Multiple Mobile Robots Along Designed Paths With Formation Requirement , 2011, IEEE/ASME Transactions on Mechatronics.

[62]  Yanping Gao,et al.  Consensus of multiple double‐integrator agents with intermittent measurement , 2010 .

[63]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[64]  Luis Montano,et al.  Enforcing Network Connectivity in Robot Team Missions , 2010, Int. J. Robotics Res..

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

[66]  Yongcan Cao,et al.  Distributed Coordinated Tracking With Reduced Interaction via a Variable Structure Approach , 2012, IEEE Transactions on Automatic Control.

[67]  Jie Chen,et al.  Flocking of multi-robot systems with connectivity maintenance on directed graphs , 2014 .

[68]  Daniel Liberzon,et al.  On stabilization of linear systems with limited information , 2003, IEEE Trans. Autom. Control..

[69]  Giuseppe Notarstefano,et al.  Maintaining limited-range connectivity among second-order agents , 2006, 2006 American Control Conference.

[70]  Andrzej Pelc,et al.  Deterministic Rendezvous in Graphs , 2003, Algorithmica.

[71]  Karl Henrik Johansson,et al.  Distributed Control of Networked Dynamical Systems: Static Feedback, Integral Action and Consensus , 2013, IEEE Transactions on Automatic Control.

[72]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.