Citation: | GONG Ping. Preset-Time Consensus of Heterogeneous Fractional-Order Nonlinear Multi-Agent Systems[J]. JOURNAL OF MECHANICAL ENGINEERING, 2023, 44(5): 605-618. doi: 10.21656/1000-0887.430223 |
[1] |
DU H, WEN G, CHENG Y, et al. Distributed finite-time cooperative control of multiple high-order nonholonomic mobile robots[J].IEEE Transactions on Neural Networks and Learning Systems,2017,28(12): 2998-3006.
|
[2]DONG X, YU B, SHI Z, et al. Time-varying formation control for unmanned aerial vehicles: theories and applications[J].IEEE Transactions Control System Technology,2015,23(1): 340-348.
|
|
[3]LESSER V, ORTIZ C L, TAMBE M.Distributed Sensor Networks: a Multiagent Perspective[M]. New York: Springer, 2003.
|
|
[4]CHEN B, CHENG H. A review of the applications of agent technology in traffic and transportation systems[J].IEEE Transactions on Intelligent Transportation Systems,2010,11(2): 485-497.
|
|
[5]GHARIB A, EJAZ W, IBNKAHLA M. Distributed spectrum sensing for IoT networks: architecture, challenges, and learning[J].IEEE Internet of Things Magazine,2021,4(2): 66-73.
|
|
[6]OLFATI-SABER R, M-MURRAY R. Consensus problems in networks of agents with switching topology and time-delays[J].IEEE Transactions on Automatic Control,2004,49(9): 1520-1533.
|
|
[7]郑丽颖, 杨永清, 许先云. 基于时变拓扑结构的二阶多智能体系统采样一致性[J]. 应用数学和力学, 2022,43(7): 783-791.(ZHENG Liying, YANG Yongqing, XU Xianyun. Sampling consensus of 2nd-order multi-agent systems based on time-varying topology[J].Applied Mathematics and Mechanics,2022,43(7): 783-791.(in Chinese))
|
|
[8]QIN J, MA Q, SHI Y, et al. Recent advances in consensus of multi-agent systems: a brief survey[J].IEEE Transactions on Industrial Electronics,2016,64(6): 4972-4983.
|
|
[9]ZUO Z, HAN Q L, NING B, et al. An overview of recent advances in fixed-time cooperative control of multiagent systems[J].IEEE Transactions on Industrial Informatics,2018,14(6): 2322-2334.
|
|
[10]KILBAS A A, SRIVASTAVA H M, TRUJILLO J J.Theory and Applications of Fractional Differential Equations[M]. Amsterdam: Elsevier Science, 2006.
|
|
[11]Podlubny I.Fractional Differential Equations, Mathematics in Science and Engineering[M]. San Diego: Academic Press, 1999.
|
|
[12]CAO Y C, LI Y, REN W, et al. Distributed coordination of networked fractional-order systems[J].IEEE Transactions on Systems, Man, and Cybernetics(Part B): Cybernetics,2009, 40(2): 362-370.
|
|
[13]GONG P, HAN Q L. Practical fixed-time bipartite consensus of nonlinear incommensurate fractional-order multiagent systems in directed signed networks[J].SIAM Journal on Control and Optimization,2020,58(6): 3322-3341.
|
|
[14]ZHU W, LI W, ZHOU P, et al. Consensus of fractional-order multi-agent systems with linear models via observer-type protocol[J].Neurocomputing,2017,230: 60-65.
|
|
[15]CHEN J, CHEN B, ZENG Z. Synchronization and consensus in networks of linear fractional-order multi-agent systems via sampled-data control[J].IEEE Transactions on Neural Networks and Learning Systems,2019,31(8): 2955-2964.
|
|
[16]LIU H, CHENG L, TAN M, et al. Exponential finite-time consensus of fractional-order multiagent systems[J].IEEE Transactions on Systems, Man,and Cybernetics: Systems,2020,50(4): 1549-1558.
|
|
[17]SU H, YE Y, CHEN X, et al. Necessary and sufficient conditions for consensus in fractional-order multiagent systems via sampled data over directed graph[J].IEEE Transactions on Systems, Man,and Cybernetics: Systems,2021,51(4): 2501-2511.
|
|
[18]HU W, WEN G, RAHMANI A, et al. Differential evolution-based parameter estimation and synchronization of heterogeneous uncertain nonlinear delayed fractional-order multi-agent systems with unknown leader[J].Nonlinear Dynamics,2019,97(2): 1087-1105.
|
|
[19]GONG P. Distributed tracking of heterogeneous nonlinear fractional-order multi-agent systems with an unknown leader[J].Journal of the Franklin Institute,2017,354(5): 2226-2244.
|
|
[20]GONG P, LAN W. Adaptive robust tracking control for uncertain nonlinear fractional-order multi-agent systems with directed topologies[J].Automatica,2018, 92: 92-99.
|
|
[21]GONG P, HAN Q L, LAN W. Finite-time consensus tracking for incommensurate fractional-order nonlinear multiagent systems with directed switching topologies[J].IEEE Transactions on Cybernetics,2022,52(1): 65-76.
|
|
[22]马丽新, 刘晨, 刘磊. 基于actor-critic算法的分数阶多自主体系统最优主-从一致性控制[J]. 应用数学和力学, 2022,43(1): 104-114.(MA Lixin, LIU Chen, LIU Lei. Optimal leader-following consensus control of fractional-order multi-agent systems based on the actor-critic algorithm[J].Applied Mathematics and Mechanics,2022,43(1): 104-114.(in Chinese))
|
|
[23]POLYAKOV A. Nonlinear feedback design for fixed-time stabilization of linear control systems[J].IEEE Transactions on Automatic Control,2012, 57(8): 2106-2110.
|
|
[24]SHI X, LU J, LIU Y, et al. A new class of fixed-time bipartite consensus protocols for multi-agent systems with antagonistic interactions[J].Journal of Franklin Institute,2018,355(12): 5256-5271.
|
|
[25]ZOU W, QIAN K, XIANG Z. Fixed-time consensus for a class of heterogeneous nonlinear multiagent systems[J].IEEE Transactions on Circuits and Systems: Express Briefs,2020,67(7): 1279-1283.
|
|
[26]WANG H, YU W, WEN G, et al. Fixed-time consensus of nonlinear multi-agent systems with general directed topologies[J].IEEE Transactions on Circuits and Systems : Express Briefs,2019,66(9): 1587-1591.
|
|
[27]FU J, WANG J. Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties[J].Systems and Control Letters,2016, 93: 1-12.
|
|
[28]ZUO Z, TIAN B, DEFOORT M, et al. Fixed-time consensus tracking for multiagent systems with high-order integrator dynamics[J].IEEE Transactions on Automatics Control,2018,63(2): 563-570.
|
|
[29]赵玮, 任凤丽. 基于牵制控制的多智能体系统的有限时间与固定时间一致性[J]. 应用数学和力学, 2021,42(3): 299-307.(ZHAO Wei, REN Fengli. Finite-time and fixed-time consensus for multi-agent systems via pinning control[J].Applied Mathematics and Mechanics,2021,42(3): 299-307.(in Chinese))
|
|
[30]GONG P, HAN Q L. Fixed-time bipartite consensus tracking of fractional-order multi-agent systems with a dynamic leader[J].IEEE Transactions on Circuits and Systems : Express Briefs,2020,67(10): 2054-2058.
|
|
[31]BECERRA H M, VZQUEZ C R, ARECHAVALETA G, et al. Predefined-time convergence control for high-order integrator systems using time base generators[J].IEEE Transactions on Control Systems Technology,2018, 26(5): 1866-1873.
|
|
[32]NING B, HAN Q L, ZUO Z. Bipartite consensus tracking for second-order multiagent systems: a time-varying function-based preset-time approach[J].IEEE Transactions on Automatics Control,2021,66(6): 2739-2745.
|
|
[33]WANG Y, SONG Y, HILL D J, et al. Prescribed-time consensus and containment control of networked multiagent systems[J].IEEE Transactions on Cybernetics,2019, 49(4): 1138-1147.
|
|
[34]ZHOU Y, LI C, JIANG G P, et al. Robust prescribed-time consensus of multi-agent systems with actuator saturation and actuator faults[J].Asian Journal of Control,2022, 24(2): 743-754.
|
|
[35]LIU W, ZHOU S, QI Y, et al. Leaderless consensus of multiagent systems with Lipschitz nonlinear dynamics and switching topologies[J].Neurocomputing,2016,173 : 1322-1329.
|