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Journal of Systems Science and Complexity ›› 2022, Vol. 35 ›› Issue (3): 888-908.DOI: 10.1007/s11424-021-0189-y

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Scaled Bipartite Consensus Controller Design for Second-Order Multi-Agent Systems with Mixed Time-Delays

YANG Ruitian1, PENG Li1, YANG Yongqing2, ZHAO Huarong1   

  1. 1. Research Center of Engineering Applications for IOT, Jiangnan University, Wuxi 214122, China;2. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Science, Jiangnan University, Wuxi 214122, China
  • Received:2020-08-10 Revised:2020-12-08 Published:2022-06-20
  • Supported by:
    This paper was supported by the National Science Fund for Distinguished Young Scholars under Grant No. 62125303, and the Science Center Program of National Natural Science Foundation of China under Grant No. 62188101.
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YANG Ruitian, PENG Li, YANG Yongqing, ZHAO Huarong. Scaled Bipartite Consensus Controller Design for Second-Order Multi-Agent Systems with Mixed Time-Delays[J]. Journal of Systems Science and Complexity, 2022, 35(3): 888-908.

The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper. The internal delay and distributed delay are also considered in the dynamic model of each agent, in which the delays can be time-varying and large. The communication topology among agents is assumed to be directed and structurally balanced. On one hand, in order to guarantee scaled bipartite consensus of second-order multi-agent systems, an adaptive periodically intermittent control protocol is applied. On the other hand, some consensus criteria in the form of matrix inequalities are obtained by using Jensen inequality, Lyapunov stability theory and graph theory. Finally, a numerical simulation example is given to demonstrate the feasibility of theoretical results.
Key words: Adaptive control, mixed delays, multi-agent systems, periodically intermittent control, scaled bipartite consensus
[1] Bidram A, Lewis F L, and Davoudi A, Distributed control systems for small-scale power networks:using multiagent cooperative control theory, IEEE Control Syst. Mag., 2014, 34(6):56-77.
[2] Dong X D, Zhou Y, Ren Z, et al., Time-varying formation tracking for second-order multi-agent systems subjected to switching topologies with application to quadrotor formation flying, IEEE Trans. Indust. Electron, 2017, 64(6):5014-5024.
[3] Yukalov V I, Yukalova E P, and Sornette D, Information processing by networks of quantum decision makers, Physica A, 2017, 492:747-766.
[4] Guo S Y, Mo L P, and Yu Y G, Mean-square consensus of heterogeneous multi-agent systems with communication noises, J. Frankl. Inst., 2018, 355:3717-3736.
[5] Wen G G, Zhai X Q, Peng Z X, et al., Fault-Tolerant secure consensus tracking of delayed nonlinear multi-agent systems with deception attacks and uncertain parameters via impulsive control, Commun. Nonlinear Sci., 2020, 82:105043.
[6] Liu S, Tao T, Xie L H, et al., Continuous-time and sampled-data-based average consensus with logarithmic quantizers, Automatica, 2013, 49(11):3329-3336.
[7] Liang S, Liu Z X, and Chen Z Q, Leader-following exponential consensus of discrete-time multiagent systems with time-varying delay and intermittent communication, Int. J. Control Autom., 2020, 18(4):944-954.
[8] Miao G Y and Ma Q, Group consensus of the first-order multi-agent systems with nonlinear input constraints, Neurocomputing, 2015, 161:113-119.
[9] Chen C L P, Ren C E, and Du T, Fuzzy observed-based adaptive consensus tracking control for second-order multiagent systems with heterogeneous nonlinear dynamics, IEEE Trans. Fuzzy Syst., 2016, 24(4):906-915.
[10] Yu W W, Li Y, Wen G H, et al., Observer design for tracking consensus in second-order multiagent systems:Fractional order less than two, IEEE Trans. Autom. Control, 2017, 62(2):894-900.
[11] Qin J H, Yu C B, and Anderson B D O, On leaderless and leader-following consensus for interacting clusters of second-order multi-agent systems, Automatica, 2017, 74:214-221.
[12] Li Y G, Huang Y, Lin P, et al., Distributed rotating consensus of second-order multi-agent systems with nonuniform delays, Systems Control Lett., 2018, 117:18-22.
[13] Gu X W, Niu Y G, and Chen B, Adaptive non-singular fast terminal sliding mode control for multi-agent systems with unknown non-linear dynamics, IET Control Theory Appl., 2020, 14(16):2223-2232.
[14] Yu J Y and Shi Y, Scaled group consensus in multiagent systems with first/second-order continuous dynamics, IEEE Trans. Cybernetics, 2018, 48(8):2259-2271.
[15] Cheng Y H, Zhou Q, Bai L B, et al., Scaled consensus for asynchronous high-order discrete-time multiagent systems, Int. J. Robust Nonlin., 2019, 30:443-456.
[16] Pratap A, Raja R, Sowmiya C, et al., Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays, Asian J. Control, 2020, 22(1):570-583.
[17] Wen G H, Wang H, Yu X H, et al., Bipartite tracking consensus of linear multi-agent systems with a dynamic leader, IEEE Trans. Circuits-II, 2019, 65(9):1204-1208.
[18] Wu Y Z, Hu J P, Zhao Y Y, et al., Adaptive scaled consensus control of coopetition networks with high-order agent dynamics, Int. J. Control, 2019, DOI:10.1080/00207179.2019.1623421.
[19] Liu Y J, Guo B Z, Park J H, et al., Nonfragile exponential synchronization of delayed complex dynamical networks with memory sampled-data control, IEEE Trans. Neural Netw. Learning Syst., 2018, 29(1):118-128.
[20] Xu Z W, Shi P, Su H Y, et al., Global H∞ pinning synchronization of complex networks with sampled-data communications, IEEE Trans. Neural Netw. Learn. Syst., 2018, 29(5):1467-1476.
[21] Ye Y Y, Su H S, Chen J H, et al., Consensus in fractional-order multi-agent systems with intermittence sampled data over directed networks, IEEE Trans. Circuits-II, 2020, 67(2):365-369.
[22] Fan Y, Chen J, Song C, et al., Event-triggered coordination control for multi-agent systems with connectivity preservation, Int. J. Control Autom., 2020, 18(4):966-979.
[23] Zhang J, Ding D W, Li Q, et al., Event-triggered control for heterogeneous discrete-time multiagent systems subject to uncertainties and noises, Int. J. Control Autom., 2020, 18(3):661-671.
[24] He W L, Chen G R, Han Q L, et al., Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control, Inf. Sci., 2017, 380:145-158.
[25] Liu P W, Li L L, Shi K B, et al., Pinning stabilization of probabilistic boolean networks with time delays, IEEE Access, 2020, 8:154050-154059.
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