混合阶异质多智能体系统由静态领导者和一阶、二阶和三阶积分器型跟随者组成.首先,在无向和有向通讯网络条件下,利用设计线性滤波器的方法提出了一致性协议;其次,基于李雅普诺夫直接法、拉塞尔不变集原理和矩阵理论证明了协议的可行性;最后,通过2个仿真算例验证了所得结论的有效性.
The mixed-order heterogeneous multi-agent systems are composed of a static leader and a first-order, second-order and third-order integrator follower. Firstly, under the condition of undirected and directed communication networks, the consistency protocols are proposed by using the method of designing linear filters. Secondly, the feasibility of the protocol is proved based on Lyapunov direct method, Russell invariant set principle and matrix theory. Finally, the validity of the conclusions is verified by two simulation examples.
[1] ICHIMURA T, UEMOTO T, HARA A. Emergence of altruism behavior for multi feeding areas in army ant social evolutionary system[C] //2014 IEEE International Conference on Systems, Man, and Cybernetics(SMC). October 5-8, 2014, San Diego, CA, USA. IEEE, 2014: 170-175. DOI: 10.1109/SMC.2014.6973902.
[2] WANG X, YANG G H. Adaptive reliable coordination control for linear agent networks with intermittent communication constraints[J]. IEEE T Control Netw, 2018, 5(3): 1120-1131. DOI: 10.1109/TCNS.2017.2687818.
[3] 黄河,范一大,杨思全,等.基于多智能体的洪涝风险动态评估理论模型[J].地理研究, 2015, 34(10): 1875-1886. DOI: 10.11821/dlyj20151006.
[4] ZHENG S Q, SHI P, AGARWAL R K, et al. Periodic event-triggered output regulation for linear multi-agent systems[J]. Automatica, 2020, 122: 109223. DOI: 10.1016/j.automatica.2020.109223.
[5] ALDANA-LÓPEZ R, ARAGÜÉS R, SAGÜÉS C. EDCHO: high order exact dynamic consensus[J]. Automatica, 2021, 131: 109750. DOI: 10.1016/j.automatica.2021.109750.
[6] 陈世明,姜根兰,张正.通信受限的多智能体系统二分实用一致性[J].自动化学报, 2022, 48(5): 1318-1326. DOI: 10.16383/j.aas.c200600.
[7] 陈世明,邵赛,姜根兰.基于事件触发二阶多智能体系统的固定时间比例一致性[J].自动化学报, 2022, 48(1): 261-270. DOI: 10.16383/j.aas.c190128.
[8] CHEN S M, WANG M Y, LI Q. Second-order consensus of hybrid multi-agent systems with unknown disturbances via sliding mode control[J]. IEEE Access, 2020, 8: 34973-34980. DOI: 10.1109/ACCESS.2020.2974246.
[9] HUANG J, WEN G G, PENG Z X, et al. Cluster-delay consensus for second-order nonlinear multi-agent systems[J]. J Syst Sci Complex, 2020, 33(2): 333-344. DOI: 10.1007/s11424-020-8174-4.
[10] CHEN T T, WANG F Y, XIA C Y, et al. Leader-following consensus of second-order multi-agent systems with intermittent communication via persistent-hold control[J]. Neurocomputing, 2022, 471: 183-193. DOI: 10.1016/j.neucom.2021.10.111.
[11] ZUO Z Y, DEFOORT M, TIAN B L, et al. Distributed consensus observer for multiagent systems with high-order integrator dynamics[J]. IEEE T Automat Contr, 2020, 65(4): 1771-1778. DOI: 10.1109/TAC.2019.2936555.
[12] GUO S P, LI Z K, NIU Y F, et al. Consensus disturbance rejection control of directed multi-agent networks with extended state observer[J]. Chinese J Aeronaut, 2020, 33(5): 1486-1493. DOI: 10.1016/j.cja.2019.07.018.
[13] WANG C R, YAN C X, LIU Z C. Leader-following consensus for second-order nonlinear multi-agent systems under Markovian switching topologies with application to ship course-keeping[J]. Int J Control Autom, 2021, 19(1): 54-62. DOI: 10.1007/s12555-019-0395-8.
[14] ZHENG Y S, WANG L. Consensus of heterogeneous multi-agent systems without velocity measurements[J]. Int J Contr, 2012, 85(7): 906-914. DOI: 10.1080/00207179.2012.669048.
[15] GENG H, WU H Y, MIAO J L, et al. Consensus of heterogeneous multi-agent systems under directed topology[J]. IEEE Access, 2022, 10: 5936-5943. DOI: 10.1109/ACCESS.2022.3142539.
[16] SUN F L, LIAO X G, KURTHS J. Mean-square consensus for heterogeneous multi-agent systems with probabilistic time delay[J]. Inform Sciences, 2021, 543: 112-124. DOI: 10.1016/j.ins.2020.07.021.
[17] 耿华, 陈增强,刘忠信,等.基于领导者-跟随者模型的异质多智能体系统一致性[J].河南理工大学学报(自然科学版), 2015, 34(5): 735-741. DOI: 10.16186/j.cnki.1673-9787.2015.05.026.
[18] REN W, BEARD R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies[J]. IEEE T Automat Contr, 2005, 50(5): 655-661. DOI: 10.1109/TAC.2005.846556.
[19] 方勇纯,卢桂章.非线性系统理论[M]. 2版.北京: 清华大学出版社, 2023. (