SCIENCE CHINA Information Sciences, Volume 62 , Issue 11 : 212201(2019) https://doi.org/10.1007/s11432-018-9846-y

Finite-time and fixed-time consensus problems for second-order multi-agent systems with reduced state information

More info
  • ReceivedDec 9, 2018
  • AcceptedMar 4, 2019
  • PublishedSep 18, 2019



This work was supported by National Natural Science Foundation of China (Grant No. 61673107), National Ten Thousand Talent Program for Young Top-notch Talents (Grant No. W2070082), Cheung Kong Scholars Programme of China for Young Scholars (Grant No. Q2016109), Jiangsu Provincial Key Laboratory of Networked Collective Intelligence (Grant No. BM2017002), and Scientific Research Foundation of Graduate School of Southeast University (Grant No. YBJJ1718).


[1] Gazi V, Passino K M. Stability Analysis of Social Foraging Swarms. IEEE Trans Syst Man Cybern B, 2004, 34: 539-557 CrossRef Google Scholar

[2] Olfati-Saber R. Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory. IEEE Trans Automat Contr, 2006, 51: 401-420 CrossRef Google Scholar

[3] Dimarogonas D V, Kyriakopoulos K J. On the Rendezvous Problem for Multiple Nonholonomic Agents. IEEE Trans Automat Contr, 2007, 52: 916-922 CrossRef Google Scholar

[4] Fax J A, Murray R M. Information flow and cooperative control of vehicle formations. IEEE Trans Automat Contr, 2004, 49: 1453--1464. Google Scholar

[5] Lin Z. Control design in the presence of actuator saturation: from individual systems to multi-agent systems. Sci China Inf Sci, 2019, 62: 026201 CrossRef Google Scholar

[6] Yu Y, Zeng Z, Li Z. Event-triggered encirclement control of multi-agent systems with bearing rigidity. Sci China Inf Sci, 2017, 60: 110203 CrossRef Google Scholar

[7] Yu W, Wang H, Hong H. Distributed cooperative anti-disturbance control of multi-agent systems: an overview. Sci China Inf Sci, 2017, 60: 110202 CrossRef Google Scholar

[8] Yu W W, Wen G H, Chen G R, et al. Distributed Cooperative Control of Multi-agent Systems. Singapore: Wiley/Higher Education Press, 2016. Google Scholar

[9] Cortés J. Finite-time convergent gradient flows with applications to network consensus. Automatica, 2006, 42: 1993-2000 CrossRef Google Scholar

[10] Liu X, Lam J, Yu W. Finite-Time Consensus of Multiagent Systems With a Switching Protocol.. IEEE Trans Neural Netw Learning Syst, 2016, 27: 853-862 CrossRef PubMed Google Scholar

[11] Wang X, Hong Y. Finite-Time Consensus for Multi-Agent Networks with Second-Order Agent Dynamics. IFAC Proc Volumes, 2008, 41: 15185-15190 CrossRef Google Scholar

[12] Suiyang Khoo , Lihua Xie , Zhihong Man . Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems. IEEE/ASME Trans Mechatron, 2009, 14: 219-228 CrossRef Google Scholar

[13] Li S, Du H, Lin X. Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica, 2011, 47: 1706-1712 CrossRef Google Scholar

[14] Du H, He Y, Cheng Y. Finite-Time Synchronization of a Class of Second-Order Nonlinear Multi-Agent Systems Using Output Feedback Control. IEEE Trans Circuits Syst I, 2014, 61: 1778-1788 CrossRef Google Scholar

[15] Yu W, Wang H, Cheng F. Second-Order Consensus in Multiagent Systems via Distributed Sliding Mode Control.. IEEE Trans Cybern, 2017, 47: 1872-1881 CrossRef PubMed Google Scholar

[16] Wang H, Yu W, Wen G. Finite-Time Bipartite Consensus for Multi-Agent Systems on Directed Signed Networks. IEEE Trans Circuits Syst I, 2018, 65: 4336-4348 CrossRef Google Scholar

[17] Du H, Li S, Qian C. Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization. IEEE Trans Automat Contr, 2011, 56: 2711-2717 CrossRef Google Scholar

[18] Andrieu V, Praly L, Astolfi A. Homogeneous Approximation, Recursive Observer Design, and Output Feedback. SIAM J Control Optim, 2008, 47: 1814-1850 CrossRef Google Scholar

[19] Polyakov A. Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems. IEEE Trans Automat Contr, 2012, 57: 2106-2110 CrossRef Google Scholar

[20] Parsegov S E, Polyakov A E, Shcherbakov P S. Fixed-time Consensus Algorithm for Multi-agent Systems with Integrator Dynamics. IFAC Proc Volumes, 2013, 46: 110-115 CrossRef Google Scholar

[21] Zuo Z, Tie L. A new class of finite-time nonlinear consensus protocols for multi-agent systems. Int J Control, 2014, 87: 363-370 CrossRef Google Scholar

[22] Hong H, Yu W, Wen G. Distributed Robust Fixed-Time Consensus for Nonlinear and Disturbed Multiagent Systems. IEEE Trans Syst Man Cybern Syst, 2017, 47: 1464-1473 CrossRef Google Scholar

[23] Wang H, Yu W W, Wen G H, et al. Fixed-time consensus of nonlinear multi-agent systems with general directed topologies. IEEE Trans Circ Syst II Exp Briefs, in press, doi. 10.1109/TCSII.2018.2886298. Google Scholar

[24] Zuo Z Y. Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 2015, 54: 305--309. Google Scholar

[25] Fu J, Wang J. Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties. Syst Control Lett, 2016, 93: 1-12 CrossRef Google Scholar

[26] Hong H F, Yu W W, Fu J J, et al. A novel class of distributed fixed-time consensus protocols for second-order nonlinear and disturbed multi-agent systems. IEEE Trans Netw Sci Eng, in press, doi:10.1109/TNSE.2018.2873060. Google Scholar

[27] Tian B, Zuo Z, Wang H. Leader-follower fixed-time consensus of multi-agent systems with high-order integrator dynamics. Int J Control, 2017, 90: 1420-1427 CrossRef Google Scholar

[28] Ji M, Egerstedt M. Distributed Coordination Control of Multiagent Systems While Preserving Connectedness. IEEE Trans Robot, 2007, 23: 693-703 CrossRef Google Scholar

[29] Dimarogonas D V, Johansson K H. Decentralized connectivity maintenance in mobile networks with bounded inputs. In: Proceedings of IEEE International Conference on Robotics and Automation, Pasadena, 2008. 1507--1512. Google Scholar

[30] Gustavi T, Dimarogonas D V, Egerstedt M. Sufficient conditions for connectivity maintenance and rendezvous in leader-follower networks. Automatica, 2010, 46: 133-139 CrossRef Google Scholar

[31] Su H, Wang X, Chen G. Rendezvous of multiple mobile agents with preserved network connectivity. Syst Control Lett, 2010, 59: 313-322 CrossRef Google Scholar

[32] Feng Z, Sun C, Hu G. Robust Connectivity Preserving Rendezvous of Multirobot Systems Under Unknown Dynamics and Disturbances. IEEE Trans Control Netw Syst, 2017, 4: 725-735 CrossRef Google Scholar

[33] Cao Y, Ren W, Casbeer D W. Finite-Time Connectivity-Preserving Consensus of Networked Nonlinear Agents With Unknown Lipschitz Terms. IEEE Trans Automat Contr, 2016, 61: 1700-1705 CrossRef Google Scholar

[34] Dong J G. Finite-time connectivity preservation rendezvous with disturbance rejection. Automatica, 2016, 71: 57-61 CrossRef Google Scholar

[35] Hong H F, Yu W W, Fu J J, et al. Finite-time connectivity-preserving consensus for second-order nonlinear multi-agent systems. IEEE Trans Control Netw Syst, in press, doi. 10.1109/TCNS.2018.2808599. Google Scholar

[36] Tian B L, Lu H C, Zuo Z Y, et al. Fixed-time leader-follower output feedback consensus for second-order multiagent systems. IEEE Trans Cybern, in press, doi. 10.1109/TCYB.2018.2794759. Google Scholar

[37] Zheng Y, Zhu Y, Wang L. Finite-time consensus of multiple second-order dynamic agents without velocity measurements. Int J Syst Sci, 2014, 45: 579-588 CrossRef Google Scholar

[38] Filippov A F. Differential Equations With Discontinuous Right-Hand Side, Mathematics and Its Applications (Soviet Series). Boston: Kluwer, 1988. Google Scholar

[39] Bhat S P, Bernstein D S. Finite time stability of homogeneous systems. In: Proceedings of the 1997 American Control Conference, Albuquerque, 1997. 2513--2514. Google Scholar

[40] Ren W, Beard R W. Distributed Consensus in Multi-Vehicle Cooperative Control. London: Springer-Verlag, 2008. Google Scholar

[41] Rouche N, Habets P, Laloy M. Stability Theory by Liapunov's Direct Method. New York: Springer-Verlag, 1977. Google Scholar

[42] Alvarez J, Orlov I, Acho L. An Invariance Principle for Discontinuous Dynamic Systems With Application to a Coulomb Friction Oscillator. J Dyn Sys Meas Control, 2000, 122: 687 CrossRef Google Scholar