Convergence of time-varying networks and its applications

WANG Qingling

doi:10.1631/FITEE.2000160

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Convergence of time-varying networks and its applications

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

- Convergence of time-varying networks and its applications
- 时变网络的收敛性及其应用
- Frontiers of Information Technology & Electronic Engineering Vol. 22, Issue 1, Pages: 88-96(2021)
- Affiliations：
  
  School of Automation, Southeast University, Nanjing 210096, China
- Author bio：
- Funds：
- DOI：10.1631/FITEE.2000160
  CLC： TP13
- Received：08 April 2020，
  
  Revised：2020-;8-;6，
  
  Published：2021-01
- Accepted：
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WANG Qingling. Convergence of time-varying networks and its applications[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 88-96.
DOI：

WANG Qingling. Convergence of time-varying networks and its applications[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 88-96. DOI： 10.1631/FITEE.2000160.

摘要

本文分析一类时变网络的收敛性。将收敛性质应用于具有未知控制方向的非线性多智能体系统协同控制问题，并提出一类新的基于Nussbaum型函数的控制策略。若时变网络是准平衡的，则所提控制策略可实现具有未知控制方向的非线性多智能体系统的收敛。所提算法的一个重要特点是，该算法可采用经典的Nussbaum型函数解决控制方向未知且不等同问题。最后，提出一个仿真案例验证所提算法的有效性。

Abstract

In this study

we present the convergence of time-varying networks. Then

we apply the convergence property to cooperative control of nonlinear multiagent systems (MASs) with unknown control directions (UCDs)

and illustrate a new kind of Nussbaum-type function based control algorithms. It is proven that if the time-varying networks are cut-balance

the convergence of nonlinear MASs with nonidentical UCDs is achieved using the presented algorithms. A critical feature of this application is that the designed algorithms can deal with nonidentical UCDs by employing conventional Nussbaum-type functions. Finally

one simulation example is given to illustrate the effectiveness of the presented algorithms.

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references

JA Fax , , , RM Murray . . Information flow and cooperative control of vehicle formations . . IEEE Trans Autom Contr , , 2004 . . 49 ( ( 9 ): ): 1465 - - 1476 . . DOI: 10.1109/TAC.2004.834433 http://doi.org/10.1109/TAC.2004.834433 . .

SS Ge , , , F Hong , , , TH Lee . . Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients . . IEEE Trans Syst Man Cybern Part B (Cybern) , , 2004 . . 34 ( ( 1 ): ): 499 - - 516 . . DOI: 10.1109/TSMCB.2003.817055 http://doi.org/10.1109/TSMCB.2003.817055 . .

JM Hendrickx , , , JN Tsitsiklis . . Convergence of type-symmetric and cut-balanced consensus seeking systems . . IEEE Trans Autom Contr , , 2013 . . 58 ( ( 1 ): ): 214 - - 218 . . DOI: 10.1109/TAC.2012.2203214 http://doi.org/10.1109/TAC.2012.2203214 . .

YG Hong , , , JP Hu , , , LX Gao . . Tracking control for multi-agent consensus with an active leader and variable topology . . Automatica , , 2006 . . 42 ( ( 7 ): ): 1177 - - 1182 . . DOI: 10.1016/j.automatica.2006.02.013 http://doi.org/10.1016/j.automatica.2006.02.013 . .

ZK Li , , , ZS Duan , , , GR Chen , , , 等 . . Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint . . IEEE Trans Circ Syst I , , 2010 . . 57 ( ( 1 ): ): 213 - - 224 . . DOI: 10.1109/TCSI.2009.2023937 http://doi.org/10.1109/TCSI.2009.2023937 . .

L Moreau . . Stability of multiagent systems with time-dependent communication links . . IEEE Trans Autom Contr , , 2005 . . 50 ( ( 2 ): ): 169 - - 182 . . DOI: 10.1109/TAC.2004.841888 http://doi.org/10.1109/TAC.2004.841888 . .

RD Nussbaum . . Some remarks on a conjecture in parameter adaptive control . . Syst Contr Lett , , 1983 . . 3 ( ( 5 ): ): 243 - - 246 . . DOI: 10.1016/0167-6911(83)90021-X http://doi.org/10.1016/0167-6911(83)90021-X . .

R Olfati-Saber , , , RM Murray . . Consensus problems in networks of agents with switching topology and time-delays . . IEEE Trans Autom Contr , , 2004 . . 49 ( ( 9 ): ): 1520 - - 1533 . . DOI: 10.1109/TAC.2004.834113 http://doi.org/10.1109/TAC.2004.834113 . .

JH Park , , , OM Kwon , , , SM Lee . . LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller . . Appl Math Comput , , 2008 . . 196 ( ( 1 ): ): 200 - - 206 . . DOI: 10.1016/j.amc.2007.05.045 http://doi.org/10.1016/j.amc.2007.05.045 . .

JM Peng , , , XD Ye . . Cooperative control of multiple heterogeneous agents with unknown high-frequency-gain signs . . Syst Contr Lett , , 2014 . . 68 51 - - 56 . . DOI: 10.1016/j.sysconle.2014.02.010 http://doi.org/10.1016/j.sysconle.2014.02.010 . .

MM Polycarpou , , , PA Ioannou . . A robust adaptive nonlinear control design . . Automatica , , 1996 . . 32 ( ( 3 ): ): 423 - - 427 . . DOI: 10.1016/0005-1098(95)00147-6 http://doi.org/10.1016/0005-1098(95)00147-6 . .

HE Psillakis . . Consensus in networks of agents with unknown high-frequency gain signs and switching topology . . IEEE Trans Autom Contr , , 2017 . . 62 ( ( 8 ): ): 3993 - - 3998 . . DOI: 10.1109/TAC.2016.2616645 http://doi.org/10.1109/TAC.2016.2616645 . .

R Shahnazi , , , W Wang . . Distributed adaptive FBC of uncertain nonaffine multiagent systems preceded by unknown input nonlinearities with unknown gain sign . . IEEE Trans Syst Man Cybern Syst , , 2018 . . 50 ( ( 8 ): ): 3036 - - 3046 . . DOI: 10.1109/TSMC.2018.2836871 http://doi.org/10.1109/TSMC.2018.2836871 . .

YD Song , , , YJ Wang , , , CY Wen . . Adaptive fault-tolerant PI tracking control with guaranteed transient and steady-state performance . . IEEE Trans Autom Contr , , 2017 . . 62 ( ( 1 ): ): 481 - - 487 . . DOI: 10.1109/TAC.2016.2554362 http://doi.org/10.1109/TAC.2016.2554362 . .

SZ Su , , , ZL Lin . . Distributed consensus control of multi-agent systems with higher order agent dynamics and dynamically changing directed interaction topologies . . IEEE Trans Autom Contr , , 2016 . . 61 ( ( 2 ): ): 515 - - 519 . . DOI: 10.1109/TAC.2015.2444211 http://doi.org/10.1109/TAC.2015.2444211 . .

CL Wang , , , CY Wen , , , Y Lin . . Adaptive actuator failure compensation of a class of nonlinear systems with unknown control direction . . IEEE Trans Autom Contr , , 2017 . . 62 ( ( 1 ): ): 385 - - 392 . . DOI: 10.1109/TAC.2016.2524202 http://doi.org/10.1109/TAC.2016.2524202 . .

G Wang . . Distributed control of higher-order nonlinear multi-agent systems with unknown non-identical control directions under general directed graphs . . Automatica , , 2019 . . 110 108559 DOI: 10.1016/j.automatica.2019.108559 http://doi.org/10.1016/j.automatica.2019.108559 . .

QL Wang , , , CY Sun . . Adaptive consensus of multiagent systems with unknown high-frequency gain signs under directed graphs . . IEEE Trans Sys Man Cybern Syst , , 2020 . . 50 ( ( 6 ): ): 2181 - - 2186 . . DOI: 10.1109/TSMC.2018.2810089 http://doi.org/10.1109/TSMC.2018.2810089 . .

QL Wang , , , HE Psillakis , , , CY Sun . . Adaptive cooperative control with guaranteed convergence in time-varying networks of nonlinear dynamical systems . . IEEE Trans Cybern, in press , , 2019a . . DOI: 10.1109/TCYB.2019.2916563 http://doi.org/10.1109/TCYB.2019.2916563 . .

QL Wang , , , HE Psillakis , , , CY Sun . . Cooperative control of multiple agents with unknown high-frequency gain signs under unbalanced and switching topologies . . IEEE Trans Autom Contr , , 2019b . . 64 ( ( 6 ): ): 2495 - - 2501 . . DOI: 10.1109/TAC.2018.2867161 http://doi.org/10.1109/TAC.2018.2867161 . .

QL Wang , , , HE Psillakis , , , CY Sun . . Cooperative control of multiple high-order agents with nonidentical unknown control directions under fixed and time-varying topologies . . IEEE Trans Syst Man Cybern Syst, in press , , 2019c . . DOI: 10.1109/TSMC.2019.2916641 http://doi.org/10.1109/TSMC.2019.2916641 . .

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 . .

GH Wen , , , ZS Duan , , , GR Chen , , , 等 . . Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies . . IEEE Trans Circ Syst I , , 2014 . . 61 ( ( 2 ): ): 499 - - 511 . . DOI: 10.1109/TCSI.2013.2268091 http://doi.org/10.1109/TCSI.2013.2268091 . .

WW Yu , , , GR Chen , , , M Cao . . Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems . . Automatica , , 2010 . . 46 ( ( 6 ): ): 1089 - - 1095 . . DOI: 10.1016/j.automatica.2010.03.006 http://doi.org/10.1016/j.automatica.2010.03.006 . .

ZX Yu , , , SG Li , , , ZS Yu , , , 等 . . Adaptive neural output feedback control for nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis and unknown control directions . . IEEE Trans Neur Netw Learn Syst , , 2018 . . 29 ( ( 4 ): ): 1147 - - 1160 . . DOI: 10.1109/TNNLS.2017.2669088 http://doi.org/10.1109/TNNLS.2017.2669088 . .

Y Zhang , , , CY Wen , , , YC Soh . . Adaptive backstepping control design for systems with unknown high-frequency gain . . IEEE Trans Autom Contr , , 2000 . . 45 ( ( 12 ): ): 2350 - - 2354 . . DOI: 10.1109/9.895572 http://doi.org/10.1109/9.895572 . .

Y Zheng , , , Y Zhu , , , L Wang . . Consensus of heterogeneous multi-agent systems . . IET Contr Theory Appl , , 2011 . . 5 ( ( 16 ): ): 1881 - - 1888 . . DOI: 10.1049/iet-cta.2011.0033 http://doi.org/10.1049/iet-cta.2011.0033 . .

YF Zheng , , , CY Wen , , , ZG Li . . Robust adaptive asymptotic tracking control of uncertain nonlinear systems subject to nonsmooth actuator nonlinearities . . Int J Adapt Contr Signal Process , , 2013 . . 27 ( ( 1-2 ): ): 108 - - 121 . . DOI: 10.1002/acs.2336 http://doi.org/10.1002/acs.2336 . .

YS Zheng , , , L Wang . . Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements . . Syst Contr Lett , , 2012 . . 61 ( ( 8 ): ): 871 - - 878 . . DOI: 10.1016/j.sysconle.2012.05.009 http://doi.org/10.1016/j.sysconle.2012.05.009 . .

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