Abstract:Aiming at the state tracking problem of multi-agent systems, this paper studies the event triggered collaborative control of high-order nonlinear multi-agent systems with input dead zones. First, the dead zone model is transformed into linear terms and perturbed terms. Then, using the fuzzy logic system to model the follower to reduce the influence on the system performance. Finally, designing the event triggering control to save bandwidth and further reduce the communication burden of the system. In addition, the proposed method can not only ensure the consistency of the leader and the followers, but also has been proved that the proposed control scheme is not affected by Zeno phenomenon. The simulation results are used to verify that all states of the follower of the design scheme are synchronized with the state of the leader.
姜田, 生宁. 带死区的多智能体系统事件触发协同控制[J]. 复杂系统与复杂性科学, 2024, 21(4): 58-64.
JIANG Tian, SHENG Ning. Event Triggered Cooperative Control of Multi-agent System with Input Dead Zone[J]. Complex Systems and Complexity Science, 2024, 21(4): 58-64.
[1] FAX J A, MURRAT R M. Information flow and cooperative control of vehicle formations[J]. IEEE Transactions on Automatic Control, 2004, 49(9): 1465-1476. [2] LI X, HU X, ZHANG R, et al. Routing protocol design for underwater optical wireless sensor networks: a multiagent reinforcement learning approach[J]. IEEE Internet of Things Journal, 2020, 7(10): 9805-9818. [3] TANG Y, HONG Y, WANG X. Distributed output regulation for a class of nonlinear multi-agent systems with unknown-input leaders[J]. Automatica, 2015, 62: 154-160. [4] 仉伟, 纪志坚, 渠继军. 基于领导者对称的多智能体系统可控性研究[J]. 复杂系统与复杂性科学, 2019, 16(2): 52-59. ZHANG W, JI Z J, QU J J.Research on controllability of multi-agent systems based on Leader symmetry [J].Complex Systems and Complexity Science,2019,16(2):52-59. [5] 李勃, 陈增强, 刘忠信, 等. 含时延的多智能体系统的多静态领导者包容控制[J]. 复杂系统与复杂性科学, 2016, 13(2): 105-110. LI B, CHEN Z Q, LIU Z X, et al.Multi-static leader inclusion control for multi-agent systems with delay [J].Complex Systems and Complexity Science, 2016, 13(2): 105 110. [6] CHEN C L P, WEN G X, LIU Y J, et al. Adaptive consensus control for a class of nonlinear multiagent time-delay systems using neural networks[J]. IEEE Transactions on Neural Networks and Learning Systems, 2014, 25(6): 1217-1226. [7] LONG CHENG, ZENG-GUANG HOU, MIN TAN, et al. Neural-network-based adaptive leader-following control for multiagent systems with uncertainties[J]. IEEE Transactions on Neural Networks, 2010, 21(8): 1351-1358. [8] ZHANG T, LEI C, ZHANG Z, et al. AS-NAS: adaptive scalable neural architecture search with reinforced evolutionary algorithm for deep learning[J]. IEEE Transactions on Evolutionary Computation, 2021, 25(5): 830-841. [9] LIU Y, MA H. Adaptive tracking control of stochastic switched nonlinear systems with unknown dead-zone output[J]. International Journal of Robust and Nonlinear Control, 2021, 31(10): 4511-4530. [10] WANG X, DING F, ALSAEDI A, et al. Auxiliary model-based iterative parameter estimation for a nonlinear output-error system with saturation and dead-zone nonlinearity[J]. International Journal of Robust and Nonlinear Control, 2021, 31(9): 4262-4286. [11] REN C E, ZHANG J, GUAN Y. Prescribed performance bipartite consensus control for stochastic nonlinear multiagent systems under event-triggered strategy[J]. IEEE Transactions on Cybernetics, 2021,53(1):468-482. [12] 成云, 宋运忠. 基于保证集的多智能体系统自触发控制[J]. 复杂系统与复杂性科学, 2017, 14(4): 97-104. CHENG Y, SONG Y Z.Self-triggering control of multi-agent systems based on Guarantee Set [J].Complex Systems and Complexity Science, 2017, 14(4): 97-104. [13] LIANG H, GUO X, PAN Y, et al. Event-triggered fuzzy bipartite tracking control for network systems based on distributed reduced-order observers[J]. Ieee Transactions on Fuzzy Systems, 2021, 29(6): 1601-1614. [14] WANG W, LI Y, TONG S. Adaptive fuzzy event-triggered control for leader-following consensus of high-order nonlinear systems[J]. IEEE Transactions on Fuzzy Systems, 2020, 28(10): 2389-2400. [15] ZHAO G, WANG Z, Fu X. Fully distributed dynamic event-triggered semiglobal consensus of multi-agent uncertain systems with input saturation via low-gain feedback[J]. International Journal of Control Automation and Systems, 2021, 19(4): 1451-1460. [16] 李泽安. 基于事件触发多智能体系统一致性研究[D]. 哈尔滨:哈尔滨工业大学, 2021. LI Z A.Research on the consistency of event-based trigger multi-agent systems [D].Harbin: Harbin Institute of Technology,2021. [17] 夏孟瑶, 蒋海军, 于志永. 基于观测的事件触发主从多智能体系统的一致性[J]. 四川师范大学学报(自然科学版), 2022, 45(3): 322-329. XIA M Y, JIANG H J, YU Z Y.Consistency of master-slave multi-agent systems triggered by observation-based events [J].Journal of Sichuan Normal University (Natural Science Edition), 2022, 45(3): 322-329. [18] LIU Y J, ZHOU N. Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input[J]. ISA Transactions, 2010, 49(4): 462-469. [19] ZHANG H, LEWIS F L. Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics[J]. Automatica, 2012, 48(7): 1432-1439. [20] CHEN W, WANG J, MA K, et al. Adaptive event-triggered neural control for nonlinear uncertain system with input constraint[J]. International Journal of Robust and Nonlinear Control, 2020, 30(10): 3801-3815.