针对带有不可测外部扰动的复杂非线性多智能体系统(Multi-agent Systems, MASs)的二分一致控制问题,提出了一种动态事件触发型数据驱动控制方案。利用伪偏导数将带有外部扰动的MASs动力学模型转化为等效的数据模型,并借助径向基函数神经网络对外部扰动的变化量进行估计。基于上述数据模型,利用无模型自适应迭代学习算法并结合动态事件触发策略,提出动态事件触发型无模型迭代二分一致控制方案,并给出了所提控制方案的稳定性分析。仿真结果验证了控制方案的有效性。
[1] AMIRKHANI A, BARSHOOI A H. Consensus in multi-agent systems: a review[J]. Artificial Intelligence Review, 2022, 55(5): 3897-3935.
[2] OH K K, PARK M C, AHN H S. A survey of multi-agent formation control [J]. Automatica, 2015, 53: 424-440.
[3] 杨盼盼, 刘明雍, 雷小康, 等. 群集系统分群行为建模与控制研究进展[J].控制与决策, 2016, 31(2): 193-206.
YANG P P, LIU M Y, LEI X K, et al. Progress in modeling and control of fission behavior for flocking system[J]. Control and Decision, 2016, 31(2): 193-206.
[4] ALTAFINI C. Consensus problems on networks with antagonistic interactions[J]. IEEE Transactions on Automatic Control, 2013, 58(4): 935-946.
[5] CHIPADE V S, PANAGOU D. Multiagent planning and control for swarm herding in 2-D obstacle environments under bounded inputs[J]. IEEE Transactions on Robotics, 2021, 37(6):1956-1972.
[6] FOURNARIS A P, LALOS A S, SERPANOS D. Generative adversarial networks in AI-enabled safety-critical systems: friend or foe? [J]. Computer, 2019, 52(9): 78-81.
[7] XU D W, PENG P, WEI C C, et al. Road traffic network state prediction based on a generative adversarial network[J]. IET Intelligent Transport Systems, 2020, 14(10): 1286-1294.
[8] 王潇, 纪志坚. 基于MAS的合作-竞争编队研究[J]. 复杂系统与复杂性科学, 2021, 18(1): 8-14.
WANG X, JI Z J.Cooperative competitive formation based on MAS[J]. Complex Systems and Complexity Science, 2021, 18(1): 8-14.
[9] QIN J H, FU W M, ZHENG W X, et al. On the bipartite consensus for generic linear multiagent systemswith input saturation[J]. IEEE Transactions on Cybernetics, 2017, 47(8): 1948-1958.
[10] MENG Z Y, SHI G D, JOHANSSON K H, et al. Behaviors of networks with antagonistic interactions and switching topologies[J]. Automatica, 2016, 73: 110-116.
[11] AHN H S, MOORE K L, CHEN Y Q. Trajectory keeping in satellite formation flying via robust periodic learning control [J]. International Journal of Robust and Nonlinear Control, 2010, 20(14): 1655-1666.
[12] LÜ Y K, ZHANG H, HUANG C, et al. Distributed localization of multiagent systems with imperfect channels based on iterative learning [J]. IEEE Transactions on Industrial Electronics, 2022, 69(10): 10521-10529.
[13] LI J S, LIU S Y, LI J M. Observer-based distributed adaptive iterative learning control for linear multi-agent systems[J]. International Journal of Systems Science, 2017, 48(14): 2948-2955.
[14] JIN X. Adaptive iterative learning control for high-order nonlinear multi-agent systems consensus tracking[J]. Systems and Control Letters, 2016, 89: 16-23.
[15] LIU K, JI Z. Dynamic event-triggered consensus of general linear multi-agent systems with adaptive strategy[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2022, 69(8): 3440-3444.
[16] YI X, LIU K, DIMAROGONAS D V, et al. Dynamic event-triggered and self-triggered control for multi-agent systems[J]. IEEE Transactions on Automatic Control, 2019, 64(8): 3300-3307.
[17] LIN N, LING Q. Dynamic Periodic Event-triggered consensus protocols for Linear multiagent systems with network delay[J]. IEEE Systems Journal, 2023, 17(1): 1204-1215.
[18] 王海, 刘根锋, 侯忠生. 高速列车数据驱动无模型自适应容错控制[J]. 控制与决策, 2022, 37(5): 1127-1136.
WANG H, LIU G F, HOU Z S. Data-drivenmodel-free adaptive fault tolerant control for high-speed trains[J]. Control and Decision, 2022, 37(5): 1127-1136.
[19] LIU S D, HOU Z S, ZHANG X, et al.Model-free adaptive control method for a class of unknown MIMO systems with measurement noise and application to quadrotor aircraft[J]. IET Control Theory &Applications, 2020, 14(15): 2084-2096.
[20] 王文佳, 侯忠生. 基于无模型自适应控制的自动泊车方案[J]. 控制与决策, 2022, 37(8): 2056-2066.
WANG W J, HOU Z S.Model-free adaptive control based automatic parking scheme[J]. Control and Decision, 2022, 37(8): 2056-2066.
[21] LIANG J Q, BU X H, CUI L Z, et al. Data-driven bipartite formation for a class of nonlinear MIMO multiagent systems[J]. IEEE Transactions on Neural Networks and Learning Systems, 2023, 34(6): 3161-3173.
[22] ZHAO H R, PENG L, YU H N, et al. Data driven distributed bipartite consensus tracking for nonlinear multiagent systems via iterative learning control [J]. IEEE Access, 2020, 8: 144718-144729.
[23] REN Y, HOU Z S. Robustmodel-free adaptive iterative learning formation for unknown heterogeneous non-linear multi-agent systems[J]. IET Control Theory &Applications, 2020, 14(4): 654-663.
[24] LIU T, HOU Z S.Model-free adaptive iterative learning containment control for unknown heterogeneous nonlinear MASs with disturbances[J]. Neurocomputing, 2023, 515: 121-132.
[25] HUA C C, QIU Y F, GUAN X P. Event-triggered iterative learning containment control ofmodel-free multiagent Systems[J]. IEEE Transactions on Systems, Man, and Cybernetics-Systems, 2021, 51(12): 7719-7726.
