Similar articles

Abstract: We study the containment control problem for high-order heterogeneous nonlinear multi-agent systems under distributed event-triggered schemes. To achieve the containment control objective and reduce communication consumption among agents, a distributed event-triggered control scheme is proposed by applying the backstepping method, Lyapunov functional approach, and neural networks. Then, the results are extended to the self-triggered control case to avoid continuous monitoring of state errors. The developed protocols and triggered rules ensure that the output for each follower converges to the convex hull spanned by multi-leader signals within a bounded error. In addition, no agent exhibits zeno behavior. Two numerical simulations are finally presented to verify the correctness of the obtained results.

基于分布式事件触发策略的异构非线性多智能体系统包含控制

[1]Chu HJ, Gao LX, Zhang WD, 2016. Distributed adaptive containment control of heterogeneous linear multi-agent systems: an output regulation approach. IET Contr Theory Appl, 10(1):95-102.

[2]Dimarogonas DV, Frazzoli E, Johansson KH, 2012. Distributed event-triggered control for multi-agent systems. IEEE Trans Autom Contr, 57(5):1291-1297.

[3]Dolk V, Heemels M, 2017. Event-triggered control systems under packet losses. Automatica, 80:143-155.

[4]Fan Y, Feng G, Wang Y, 2011. Combination framework of rendezvous algorithm for multi-agent systems with limited sensing ranges. Asian J Contr, 13(2):283-294.

[5]Fu JJ, Wang JZ, 2016. Robust finite-time containment control of general linear multi-agent systems under directed communication graphs. J Franklin Inst, 353(12):2670-2689.

[6]Guo WL, 2016. Leader-following consensus of the second-order multi-agent systems under directed topology. ISA Trans, 65:116-124.

[7]Haghshenas H, Badamchizadeh MA, Baradarannia M, 2015. Containment control of heterogeneous linear multi-agent systems. Automatica, 54:210-216.

[8]Hardy GH, Littlewood JE, Pólya G, 1952. Inequalities. Cambridge University Press, UK.

[9]He XY, Wang QY, Yu WW, 2015. Distributed finite-time containment control for second-order nonlinear multi-agent systems. Appl Math Comput, 268:509-521.

[10]Hu AH, Cao JD, Hu MF, et al., 2015. Event-triggered consensus of multi-agent systems with noises. J Franklin Inst, 352(9):3489-3503.

[11]Ji M, Ferrari-Trecate G, Egerstedt M, et al., 2008. Containment control in mobile networks. IEEE Trans Autom Contr, 53(8):1972-1975.

[12]Li HL, Yang RN, Li QN, 2017. Designing a novel consensus protocol for multiagent systems with general dynamics under directed networks. Front Inform Technol Electron Eng, 18(8):1071-1081.

[13]Li JZ, Li CL, Yang XF, et al., 2018. Event-triggered containment control of multi-agent systems with high-order dynamics and input delay. Electronics, 7(12):343.

[14]Li WQ, Liu L, Feng G, 2016. Distributed containment tracking of multiple stochastic nonlinear systems. Automatica, 69:214-221.

[15]Li WX, Chen ZQ, Liu ZX, 2014. Formation control for nonlinear multi-agent systems by robust output regulation. Neurocomputing, 140:114-120.

[16]Li YF, Hua CC, Wu SS, et al., 2017. Output feedback distributed containment control for high-order nonlinear multiagent systems. IEEE Trans Cybern, 47(8):2032-2043.

[17]Lin X, Zheng YS, 2017. Finite-time consensus of switched multiagent systems. IEEE Trans Syst Man Cybern Syst, 47(7):1535-1545.

[18]Liu KE, Xie GM, Wang L, 2014. Containment control for second-order multi-agent systems with time-varying delays. Syst Contr Lett, 67:24-31.

[19]Liu YF, Geng ZY, 2015. Finite-time formation control for linear multi-agent systems: a motion planning approach. Syst Contr Lett, 85:54-60.

[20]Liu ZX, Jin QT, Chen ZQ, 2015. Distributed containment control for bounded unknown second-order nonlinear multi-agent systems with dynamic leaders. Neurocomputing, 168:1138-1143.

[21]Lu MB, Liu L, 2019. Leader-following consensus of second-order nonlinear multi-agent systems subject to disturbances. Front Inform Technol Electron Eng, 20(1):88-94.

[22]Ma CQ, Zhang JF, 2012. On formability of linear continuous-time multi-agent systems. J Syst Sci Compl, 25(1):13-29.

[23]Ma Q, Miao GY, 2014. Distributed containment control of linear multi-agent systems. Neurocomputing, 133:399-403.

[24]Meng ZY, Ren W, You Z, 2010. Distributed finite-time attitude containment control for multiple rigid bodies. Automatica, 46(12):2092-2099.

[25]Miao GY, Cao JD, Alsaedi A, et al., 2017. Event-triggered containment control for multi-agent systems with constant time delays. J Franklin Inst, 354(15):6956-6977.

[26]Qin JH, Yu CB, Anderson BDO, 2016. On leaderless and leader-following consensus for interacting clusters of second-order multi-agent systems. Automatica, 74:214-221.

[27]Qin JH, Zheng WX, Gao HJ, et al., 2017. Containment control for second-order multiagent systems communicating over heterogeneous networks. IEEE Trans Neur Netw Learn Syst, 28(9):2143-2155.

[28]Rehan M, Jameel A, Ahn CK, 2018. Distributed consensus control of one-sided Lipschitz nonlinear multiagent systems. IEEE Trans Syst Man Cybern Syst, 48(8):1297-1308.

[29]Tabuada P, 2007. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Trans Autom Contr, 52(9):1680-1685.

[30]Wang P, Jia Y, 2015. Robust H_∞ containment control for second-order multi-agent systems with nonlinear dynamics in directed networks. Neurocomputing, 153:235-241.

[31]Wang W, Wang D, Peng Z, 2015. Distributed containment control for uncertain nonlinear multi-agent systems in non-affine pure-feedback form under switching topologies. Neurocomputing, 152:1-10.

[32]Wang ZD, Ding DR, Dong HL, et al., 2013. H_∞ consensus control for multi-agent systems with missing measurements: the finite-horizon case. Syst Contr Lett, 62(10):827-836.

[33]Wei B, Xiao F, 2016. Event-triggered control for synchronization of coupled harmonic oscillators. Syst Contr Lett, 97:163-168.

[34]Wu Z, Xu Y, Lu R, et al., 2018a. Event-triggered control for consensus of multiagent systems with fixed/switching topologies. IEEE Trans Syst Man Cybern Syst, 48(10):1736-1746.

[35]Wu Z, Xu Y, Pan Y, et al., 2018b. Event-triggered control for consensus problem in multi-agent systems with quantized relative state measurements and external disturbance. IEEE Trans Circ Syst I, 65(7):2232-2242.

[36]Xia H, Zheng WX, Shao JL, 2018. Event-triggered containment control for second-order multi-agent systems with sampled position data. ISA Trans, 73:91-99.

[37]Xu HH, Zhu J, 2011. An iterative approach to Bayes risk decoding and system combination. J Zhejiang Univ-Sci C (Comput & Electron), 12(3):204-212.

[38]Yan HC, Shen YC, Zhang H, et al., 2014. Decentralized event-triggered consensus control for second-order multi-agent systems. Neurocomputing, 133:18-24.

[39]Yoo SJ, 2013. Distributed adaptive containment control of uncertain nonlinear multi-agent systems in strict-feedback form. Automatica, 49(7):2145-2153.

[40]Zhang T, Ge SS, Hang CC, 2000. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica, 36(12):1835-1846.

[41]Zhang WB, Tang Y, Liu YR, et al., 2017. Event-triggering containment control for a class of multi-agent networks with fixed and switching topologies. IEEE Trans Circ Syst I, 64(3):619-629.

[42]Zheng YS, Ma JY, Wang L, 2018. Consensus of hybrid multi-agent systems. IEEE Trans Neur Netw Learn Syst, 29(4):1359-1365.

[43]Zhou F, Wang ZJ, 2015. Containment control of linear multi-agent systems with directed graphs and multiple leaders of time-varying bounded inputs. IET Contr Theory Appl, 9(16):2466-2473.

[44]Zou WC, Xiang ZR, 2017. Event-triggered distributed containment control of heterogeneous linear multi-agent systems by an output regulation approach. Int J Syst Sci, 48(10):2041-2054.

[45]Zou WC, Xiang ZR, 2019a. Event-triggered containment control of second-order nonlinear multi-agent systems. J Franklin Inst, 356(17):10421-10438.

[46]Zou WC, Xiang ZR, 2019b. Event-triggered leader-following consensus of non-linear multi-agent systems with switched dynamics. IET Contr Theory Appl, 13(9):1222-1228.