Consensus of multi-agent systems with dynamic join characteristics under impulsive control

Xiang HU; Zufan ZHANG; LI Chuandong

doi:10.1631/FITEE.2000062

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Consensus of multi-agent systems with dynamic join characteristics under impulsive control

Special Issue on Distributed Filtering and Control of Complex Networks and Systems | Updated：2022-05-19

- Consensus of multi-agent systems with dynamic join characteristics under impulsive control
- 脉冲控制下具有动态加入特性的多智能体系统一致性
- Frontiers of Information Technology & Electronic Engineering Vol. 22, Issue 1, Pages: 120-133(2021)
- Affiliations：
  
  Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China
  School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
- Author bio：
  
  [ "HU Xiang, E-mail: huyangyu0203@163.com" ]
  [ "ZHANG Zufan, E-mail: zhangzf@cqupt.edu.cn" ]
  LI Chuandong, E-mail: cdli@swu.edu.cn
- Funds：
- DOI：10.1631/FITEE.2000062
  CLC： TP273
- Received：06 February 2020，
  
  Revised：2020-;9-28，
  
  Published：2021-01
- Accepted：
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Xiang HU, Zufan ZHANG, LI Chuandong. Consensus of multi-agent systems with dynamic join characteristics under impulsive control[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 120-133.
DOI：

Xiang HU, Zufan ZHANG, LI Chuandong. Consensus of multi-agent systems with dynamic join characteristics under impulsive control[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 120-133. DOI： 10.1631/FITEE.2000062.

摘要

研究在原有多智能体系统中动态加入一些新智能体组后如何实现整个多智能体系统的状态一致性。分析在当前常见的不同网络拓扑形式下动态加入智能体组的可行性，并从理论上获得4种可行方案，其中一种方案在实际工业生产中是最佳的。然后，针对最佳方案进行多智能体系统的动力学建模。采用脉冲控制理论和李雅普诺夫稳定性理论，分析具有动态加入特性的多智能体系统实现状态一致的条件。最后，提供一个数值例子验证本文理论的实用性和有效性。

Abstract

We study how to achieve the state consensus of a whole multi-agent system after adding some new agent groups dynamically in the original multi-agent system. We analyze the feasibility of dynamically adding agent groups under different forms of network topologies that are currently common

and obtain four feasible schemes in theory

including one scheme that is the best in actual industrial production. Then

we carry out dynamic modeling of multi-agent systems for the best scheme. Impulsive control theory and Lyapunov stability theory are used to analyze the conditions so that the whole multi-agent system with dynamic join characteristics can achieve state consensus. Finally

we provide a numerical example to verify the practicality and validity of the theory.

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Keywords

references

YF Cao , , , YG Sun . . Consensus of third-order multiagent systems with time delay in undirected networks . . Math Probl Eng , , 2016 . . 2016 6803927 DOI: 10.1155/2016/6803927 http://doi.org/10.1155/2016/6803927 . .

S Cheng , , , H Dong , , , L Yu , , , 等 . . Consensus of second-order multi-agent systems with directed networks using relative position measurements only . . Int J Contr Autom Syst , , 2019 . . 17 ( ( 1 ): ): 85 - - 93 . . DOI: 10.1007/s12555-018-0148-0 http://doi.org/10.1007/s12555-018-0148-0 . .

HL Geng , , , GR Duan . . Stability of linear constant system with linear impulse . . Chinese Control Conf , , 2007 . . p.76 - - 79 . . DOI: 10.1109/CHICC.2006.4347405 http://doi.org/10.1109/CHICC.2006.4347405 . .

YY Han , , , CD Li . . Second-order consensus of discrete-time multi-agent systems in directed networks with nonlinear dynamics via impulsive protocols . . Neurocomputing , , 2018 . . 286 51 - - 57 . . DOI: 10.1016/j.neucom.2018.01.053 http://doi.org/10.1016/j.neucom.2018.01.053 . .

F Hao , , , X Chen . . Event-triggered average consensus control for discrete-time multi-agent systems . . IET Contr Theory Appl , , 2012 . . 6 ( ( 16 ): ): 2493 - - 2498 . . DOI: 10.1049/iet-cta.2011.0535 http://doi.org/10.1049/iet-cta.2011.0535 . .

W Hu , , , QX Zhu . . Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times . . Int J Rob Nonl Contr , , 2018 . . 29 ( ( 12 ): ): 3809 - - 3820 . . DOI: 10.1002/rnc.4031 http://doi.org/10.1002/rnc.4031 . .

C Huang , , , X Zhang , , , H Lam , , , 等 . . Synchronization analysis for nonlinear complex networks with reaction-diffusion terms using fuzzy-model-based approach . . IEEE Trans Fuzzy Syst, in press , , 2020 . . DOI: 10.1109/TFUZZ.2020.2974143 http://doi.org/10.1109/TFUZZ.2020.2974143 . .

J Huang , , , M Cao , , , N Zhou , , , 等 . . Distributed behavioral control for second-order nonlinear multi-agent systems . . IFAC-PapersOnLine , , 2017 . . 50 ( ( 1 ): ): 2445 - - 2450 . . DOI: 10.1016/j.ifacol.2017.08.407 http://doi.org/10.1016/j.ifacol.2017.08.407 . .

TW Huang , , , CD Li , , , SK Duan , , , 等 . . Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects . . IEEE Trans Neur Netw Learn Syst , , 2012 . . 23 ( ( 6 ): ): 866 - - 875 . . DOI: 10.1109/TNNLS.2012.2192135 http://doi.org/10.1109/TNNLS.2012.2192135 . .

FC Jiang , , , L Wang , , , GM Xie . . Consensus of high-order dynamic multi-agent systems with switching topology and time-varying delays . . J Contr Theory Appl , , 2010 . . 8 ( ( 1 ): ): 52 - - 60 . . DOI: 10.1007/s11768-010-9184-x http://doi.org/10.1007/s11768-010-9184-x . .

K Lee , , , R Bhattacharya . . Convergence analysis of asynchronous consensus in discrete-time multi-agent systems with fixed topology . . 2016 . . https://arxiv.org/abs/1606.04156 https://arxiv.org/abs/1606.04156 , , . .

CJ Li , , , GP Liu . . Consensus for heterogeneous networked multi-agent systems with switching topology and time-varying delays . . J Franklin Inst , , 2018a . . 355 ( ( 10 ): ): 4198 - - 4217 . . DOI: 10.1016/j.jfranklin.2018.04.003 http://doi.org/10.1016/j.jfranklin.2018.04.003 . .

CJ Li , , , GP Liu . . Data-driven leader-follower output synchronization for networked non-linear multi-agent systems with switching topology and time-varying delays . . J Syst Sci Compl , , 2018b . . 31 ( ( 1 ): ): 87 - - 102 . . DOI: 10.1007/s11424-018-7269-7 http://doi.org/10.1007/s11424-018-7269-7 . .

XD Li , , , XL Zhang , , , SJ Song . . Effect of delayed impulses on input-to-state stability of nonlinear systems . . Automatica , , 2017 . . 76 378 - - 382 . . DOI: 10.1016/j.automatica.2016.08.009 http://doi.org/10.1016/j.automatica.2016.08.009 . .

YL Li , , , HT Li , , , XY Ding , , , 等 . . Leader-follower consensus of multiagent systems with time delays over finite fields . . IEEE Trans Cybern , , 2019 . . 49 ( ( 8 ): ): 3203 - - 3208 . . DOI: 10.1109/TCYB.2018.2839892 http://doi.org/10.1109/TCYB.2018.2839892 . .

YM Li , , , YY Sun , , , J Hua , , , 等 . . Indirect adaptive type-2 fuzzy impulsive control of nonlinear systems . . IEEE Trans Fuzzy Syst , , 2015 . . 23 ( ( 4 ): ): 1084 - - 1099 . . DOI: 10.1109/TFUZZ.2014.2346235 http://doi.org/10.1109/TFUZZ.2014.2346235 . .

XL Liu , , , JW Xiao , , , DX Chen , , , 等 . . Dynamic consensus of nonlinear time-delay multi-agent systems with input saturation: an impulsive control algorithm . . Nonl Dynam , , 2019 . . 97 ( ( 2 ): ): 1699 - - 1710 . . DOI: 10.1007/s11071-019-05098-z http://doi.org/10.1007/s11071-019-05098-z . .

ZH Lu , , , L Zhang , , , L Wang . . Controllability analysis of multi-agent systems with switching topology over finite fields . . Sci China Inform Sci , , 2019 . . 62 ( ( 1 ): ): 12201 DOI: 10.1007/s11432-017-9284-4 http://doi.org/10.1007/s11432-017-9284-4 . .

J Luo , , , CY Cao . . Flocking for multi-agent systems with unknown nonlinear time-varying uncertainties under a fixed undirected graph . . Int J Contr , , 2015 . . 88 ( ( 5 ): ): 1051 - - 1062 . . DOI: 10.1080/00207179.2014.992963 http://doi.org/10.1080/00207179.2014.992963 . .

J Schoukens , , , K Godfrey , , , M Schoukens . . Nonparametric data-driven modeling of linear systems: estimating the frequency response and impulse response function . . IEEE Contr Syst Mag , , 2018 . . 38 ( ( 4 ): ): 49 - - 88 . . DOI: 10.1109/MCS.2018.2830080 http://doi.org/10.1109/MCS.2018.2830080 . .

AN Sesekin , , , AN Nepp . . Impulse position control algorithms for nonlinear systems . . 41 st Int Conf on Applications of Mathematics in Engineering and Economics , , 2015 . . p.040002-1 - - 040002-5 . . DOI: 10.1063/1.4936709 http://doi.org/10.1063/1.4936709 . .

B Shahrrava . . Closed-form impulse responses of linear time-invariant systems: a unifying approach [lecture notes] . . IEEE Signal Process Mag , , 2018 . . 35 ( ( 4 ): ): 126 - - 132 . . DOI: 10.1109/MSP.2018.2810300 http://doi.org/10.1109/MSP.2018.2810300 . .

YL Shang . . Finite-time consensus for multi-agent systems with fixed topologies . . Int J Syst Sci , , 2012 . . 43 ( ( 3 ): ): 499 - - 506 . . DOI: 10.1080/00207721.2010.517857 http://doi.org/10.1080/00207721.2010.517857 . .

M Shi , , , YJ Yu , , , Q Xu . . Delay-dependent consensus condition for a class of fractional-order linear multiagent systems with input time-delay . . Int J Syst Sci , , 2019 . . 50 ( ( 4 ): ): 669 - - 678 . . DOI: 10.1080/00207721.2019.1567865 http://doi.org/10.1080/00207721.2019.1567865 . .

AJ Wang , , , XF Liao , , , HB He . . Event-triggered differentially private average consensus for multi-agent network . . IEEE/CAA J Autom Sin , , 2019 . . 6 ( ( 1 ): ): 75 - - 83 . . DOI: 10.1109/JAS.2019.1911327 http://doi.org/10.1109/JAS.2019.1911327 . .

H Wang , , , WW Yu , , , GH Wen , , , 等 . . Finite-time bipartite consensus for multi-agent systems on directed signed networks . . IEEE Trans Circ Syst I , , 2018 . . 65 ( ( 12 ): ): 4336 - - 4348 . . DOI: 10.1109/TCSI.2018.2838087 http://doi.org/10.1109/TCSI.2018.2838087 . .

H Wang , , , WW Yu , , , W Ren , , , 等 . . Distributed adaptive finite-time consensus for second-order multiagent systems with mismatched disturbances under directed networks . . IEEE Trans Cybern, in press , , 2019 . . DOI: 10.1109/TCYB.2019.2903218 http://doi.org/10.1109/TCYB.2019.2903218 . .

JR Wang , , , ZJ Luo , , , D Shen . . Iterative learning control for linear delay systems with deterministic and random impulses . . J Franklin Inst , , 2018 . . 355 ( ( 5 ): ): 2473 - - 2497 . . DOI: 10.1016/j.jfranklin.2018.01.013 http://doi.org/10.1016/j.jfranklin.2018.01.013 . .

S Wang , , , D Xie . . Consensus of second-order multi-agent systems via sampled control: undirected fixed topology case . . IET Contr Theory Appl , , 2012 . . 6 ( ( 7 ): ): 893 - - 899 . . DOI: 10.1049/iet-cta.2011.0282 http://doi.org/10.1049/iet-cta.2011.0282 . .

X Wang , , , CD Li , , , TW Huang , , , 等 . . Impulsive control and synchronization of nonlinear system with impulse time window . . Nonl Dynam , , 2014 . . 78 ( ( 4 ): ): 2837 - - 2845 . . DOI: 10.1007/s11071-014-1629-1 http://doi.org/10.1007/s11071-014-1629-1 . .

XM Wang , , , T Wang , , , CB Xu , , , 等 . . Average consensus for multi-agent system with measurement noise and binary-valued communication . . Asian J Contr , , 2018 . . 21 ( ( 3 ): ): 1043 - - 1056 . . DOI: 10.1002/asjc.1801 http://doi.org/10.1002/asjc.1801 . .

YQ Wang , , , JQ Lu , , , YJ Lou . . Halanay-type inequality with delayed impulses and its applications . . Sci China Inf Sci , , 2019 . . 62 ( ( 9 ): ): 192206 DOI: 10.1007/s11432-018-9809-y http://doi.org/10.1007/s11432-018-9809-y . .

ZM Wang , , , H Zhang , , , WS Wang . . Robust consensus for linear multi-agent systems with noises . . IET Contr Theory Appl , , 2016 . . 10 ( ( 17 ): ): 2348 - - 2356 . . DOI: 10.1049/iet-cta.2016.0191 http://doi.org/10.1049/iet-cta.2016.0191 . .

GG Wen , , , YL Zhang , , , ZX Peng , , , 等 . . Observer-based output consensus of leader-following fractional-order heterogeneous nonlinear multi-agent systems . . Int J Contr, in press , , 2019 . . DOI: 10.1080/00207179.2019.1566636 http://doi.org/10.1080/00207179.2019.1566636 . .

GH Wen , , , WX Zheng . . On constructing multiple Lyapunov functions for tracking control of multiple agents with switching topologies . . IEEE Trans Autom Contr , , 2019 . . 64 ( ( 9 ): ): 3796 - - 3803 . . DOI: 10.1109/TAC.2018.2885079 http://doi.org/10.1109/TAC.2018.2885079 . .

T Wu , , , J Hu , , , DY Chen . . Non-fragile consensus control for nonlinear multi-agent systems with uniform quantizations and deception attacks via output feedback approach . . Nonl Dynam , , 2019 . . 96 ( ( 1 ): ): 243 - - 255 . . DOI: 10.1007/s11071-019-04787-z http://doi.org/10.1007/s11071-019-04787-z . .

DM Xie , , , SK Wang . . Consensus of second-order discrete-time multi-agent systems with fixed topology . . J Math Anal Appl , , 2012 . . 387 ( ( 1 ): ): 8 - - 16 . . DOI: 10.1016/j.jmaa.2011.08.052 http://doi.org/10.1016/j.jmaa.2011.08.052 . .

Y Xu , , , DL Luo , , , DY Li , , , 等 . . Affine formation control for heterogeneous multi-agent systems with directed interaction networks . . Neurocomputing , , 2019 . . 330 ( ( 22 ): ): 104 - - 115 . . . .

YY Ye , , , HS Su . . Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks . . Nonl Dynam , , 2019 . . 96 ( ( 2 ): ): 1391 - - 1403 . . DOI: 10.1007/s11071-019-04861-6 http://doi.org/10.1007/s11071-019-04861-6 . .

S Yuan , , , Z Cheng , , , G Lei . . Uncoupled PID control of coupled multi-agent nonlinear uncertain systems . . J Syst Sci Compl , , 2018 . . 31 ( ( 1 ): ): 4 - - 21 . . DOI: 10.1007/s11424-018-7335-1 http://doi.org/10.1007/s11424-018-7335-1 . .

SD Zhai , , , XS Yang . . Consensus of second-order multiagent systems with nonlinear dynamics and switching topology . . Nonl Dynam , , 2014 . . 77 ( ( 4 ): ): 1667 - - 1675 . . DOI: 10.1007/s11071-014-1408-z http://doi.org/10.1007/s11071-014-1408-z . .

WB Zhang , , , DWC Ho , , , Y Tang , , , 等 . . Quasiconsensus of heterogeneous-switched nonlinear multiagent systems . . IEEE Trans Cybern, in press , , 2019 . . DOI: 10.1109/TCYB.2018.2882191 http://doi.org/10.1109/TCYB.2018.2882191 . .

Y Zhang , , , YP Tian . . Allowable delay bound for consensus of linear multi-agent systems with communication delay . . Int J Syst Sci , , 2014 . . 45 ( ( 10 ): ): 2172 - - 2181 . . DOI: 10.1080/00207721.2013.763303 http://doi.org/10.1080/00207721.2013.763303 . .

M Zheng , , , CL Liu , , , F Liu . . Average-consensus tracking of sensor network via distributed coordination control of heterogeneous multi-agent systems . . IEEE Contr Syst Lett , , 2019 . . 3 ( ( 1 ): ): 132 - - 137 . . DOI: 10.1109/LCSYS.2018.2856105 http://doi.org/10.1109/LCSYS.2018.2856105 . .

B Zhou , , , XF Liao . . Leader-following second-order consensus in multi-agent systems with sampled data via pinning control . . Nonl Dynam , , 2014 . . 78 ( ( 1 ): ): 555 - - 569 . . DOI: 10.1007/s11071-014-1460-8 http://doi.org/10.1007/s11071-014-1460-8 . .

W Zhu , , , DD Wang , , , QH Zhou . . Leader-following consensus of multi-agent systems via adaptive event-based control . . J Syst Sci Compl , , 2019 . . 32 ( ( 3 ): ): 846 - - 856 . . DOI: 10.1007/s11424-018-7177-x http://doi.org/10.1007/s11424-018-7177-x . .

WC Zou , , , ZR Xiang , , , CK Ahn . . Mean square leader-following consensus of second-order nonlinear multiagent systems with noises and unmodeled dynamics . . IEEE Trans Syst Man Cybern Syst , , 2019 . . 49 ( ( 12 ): ): 2478 - - 2486 . . DOI: 10.1109/TSMC.2018.2862140 http://doi.org/10.1109/TSMC.2018.2862140 . .

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