Abstract:Aiming at actuator faults and external disturbances in nonlinear heterogeneous multi-agent systems, a fault tolerance consistency algorithm based on event triggering is proposed to ensure system consistency. A trigger function based on state error is designed for the follower. The agent only triggers the event in a certain case, updates and transmits the sampled information. By synthesizing model transformation, matrix theory and Lyapunov stability theory, the sufficient conditions for the system to reach agreement are obtained, which ensures the stability of the system. The control gain matrix is solved by linear matrix inequality (LMI) based on Lipschitz and norm bounded conditions when nonlinear elements are considered. The feasibility and effectiveness of the proposed method are verified by Matlab simulation experiments.
王君, 蔡学强. 基于事件触发的非线性异构多智能体系统容错一致性[J]. 复杂系统与复杂性科学, 2025, 22(4): 99-108.
WANG Jun, CAI Xueqiang. Fault Tolerance Consistency of Nonlinear Heterogeneous Multi-agent Systems Based on Event Triggering[J]. Complex Systems and Complexity Science, 2025, 22(4): 99-108.
[1] 徐律.异构多智能体系统一致性的研究[D].南京:南京理工大学,2017. XU L. Research on consistency of heterogeneous multi-agent systems[D].Nanjing: Nanjing University of Science and Technology,2017. [2] SUN Y N, ZOU W C, GUO J, et al. Containment control for heterogeneous nonlinear multi-agent systems under distributed event-triggered schemes[J].Frontiers in Information and Electronic Engineering,2021, 22(1):13. [3] XIE D S, YUAN D M, LU J W, et al. Consensus control of second order leader follower multi-agent systems with event-triggered strategy[J]. Transactions of the Institute of Measurement & Control, 2013, 35(4): 426436. [4] YANG X, HUANG W, WANG Y. Distributed observer based output regulation of heterogeneous nonlinear multi-agent systems[J].IEEE Transactions on Automatic Control, 2016,61(11):35393544. [5] JIA X C, GAO S S, YOU X, et al. Output consensus of heterogeneous multi-agent systems with a multi-sensor multi-rate sampling mechanism[J].Journal of the Franklin Institute, 2020, 357(17):1264012669. [6] ZHAO J, XIE X, ZHANG R, et al. Decentralized sliding-mode and fault-tolerant control for heterogeneous multi-agent systems[C]//2019 Chinese Control Conference. Guangzhou, China: IEEE, 2019. [7] 闫志强.基于事件触发的异构多智能体系统一致性研究[D].南京:南京理工大学,2023. YAN Z Q. Research on the consistency of heterogeneous multi-agent systems based on event triggering[D]. Nanjing: Nanjing University of Science and Technology, 2023. [8] XU L X, ZHAO L N, MA H J, et al. Event-triggered cooperative output regulation of heterogeneous multi-agent systems with adaptive fault-tolerant control[J].IEEE Transactions on Circuits and Systems II: Express Briefs, 2022,69(3):11491153. [9] SUN J Y, GENG Z Y, LÜ Y Z. Adaptive output feedback consensus tracking for heterogeneous multi-agent systems with unknown dynamics under directed graphs[J].Systems & Control Letters, 2016, 87:1622. [10] CAO W J, LIU L, FENG G. Distributed adaptive output consensus of unknown heterogeneous non-minimum phase multi-agent systems[J]. Automatic, 2023, 10(4):9971008. [11] FAN Y Q, REN X Y, LI Z. Distributed adaptive neural network control for a class of uncertain heterogeneous multi-agent systems[J].International Journal of Innovative Computing, Information and Control, 2022(1):18. [12] JIANG L, WANG W, WEN C Y, et al. Output feedback based adaptive consensus tracking for uncertain heterogeneous multi-agent systems with event-triggered communication[J]. Automatic, 2022,136:109841. [13] HU W F, LIU L, FENG G. Output consensus of heterogeneous linear multi-agent systems by distributed event-tri-ger-ed/self-triggered strategy[J].IEEE Transactions on Cybernetics, 2017, 47(8):19141924. [14] ZHANG K W, ZHANG Y Y, ZONG X F, et al. Mean square and almost sure consensus of heterogeneous multi-agent systems with multiplicative noise[J].International Journal of Robust and Nonlinear Control, 2022, 32(4):23992419. [15] FENG Z, HU G Q. Fault-tolerant formation tracking of heterogeneous multi-agent systems with time-varying actuator faults and its application to task-space cooperative tracking of manipulators[DB/OL].[20230630].https://arxiv.org/pdf/2009.10700. [16] GUO X G, LIU P M, WANG J L,et al. Event-triggered adaptive fault-tolerant pinning control for cluster consensus of heterogeneous nonlinear multi-agent systems under aperiodic DoS attacks[J].IEEE Transactions on Network Science and Engineering, 2021.8(2):19411956. [17] WANG J, LI Y L. Research on fault tolerance consistency of multi-agent based on event triggering mechanism[J].Journal of Physics: Conference Series, 2021, 1993(1):012018. [18] MISHRA R K, SINHA A. Event-triggered sliding mode based consensus tracking in second order heterogeneous nonlinear multi-agent systems[J].European Journal of Control, 2019,45:3044. [19] 黄红伟,黄天民,吴胜,等.基于事件触发的二阶多智能体领导跟随一致性[J].控制与决策, 2016, 31(5):7. HUANG H W, HUANG T M, WU S, et al. Second-order multi-agent based on event trigger leadership with consistency[J]. Control and Decision, 2016, 31(5):7. [20] SEYBOTH G S, DIMAROGONAS D V, JOHANSSON K H. Event-based broadcasting for multi-agent average cons-ensus[J].Automatic, 2013, 49(1):245252. [21] LI H J, CHEN M, SHEN S G, et al. Event-triggered control for multi-agent systems with randomly occurring nonlinear dynamics and time-varying delay[J].Journal of the Franklin Institute, 2014, 351(5):25822599. [22] XIE D S, YUAN D N, LU J W, et al. Consensus control of second-order leader-follower multi-agent systems with event-triggered strategy[J].Transactions of the Institute of Measurement & Control, 2013, 35(4):426436. [23] 詹习生,关治洪,吴杰,等.多通道网络化系统跟踪性能极限[J].控制理论与应用, 2013(4):5. ZHAN X S, GUAN Z H, WU J, et al. Multi-channel network system tracking performance limit[J]. Control Theory and Applications, 2013(4):5.