Guaranteed-performance consensus for descriptor nonlinear multi-agent systems based on distributed nonlinear consensus protocol

被引：11

作者：

Gao, Zhiyun ^{[2
]}

Zhang, Huaguang ^{[1
,2
]}

Duan, Jie ^{[2
]}

Cai, Yuliang ^{[2
]}

机构：

[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Liaoning, Peoples R China

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China

来源：

NEUROCOMPUTING | 2020年 / 383卷

基金：

中国国家自然科学基金;

关键词：

Descriptor nonlinear multi-agent systems; Distributed nonlinear control protocol; Guaranteed-performance cost; Leader-following consensus; ADMISSIBLE CONSENSUS; NETWORKED SYSTEMS; SYNCHRONIZATION;

D O I：

10.1016/j.neucom.2019.12.028

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, guaranteed-performance consensus (GPC) for descriptor nonlinear multi-agent systems (DNMASs) with a leader is studied. The interactions among followers are bidirectional for leader-following DNMASs. Firstly, one designs a novel distributed nonlinear consensus protocol based on state feedback to reach consensus for DNMASs. The performance function is constructed by state errors among agents, which is time integration of quadratic function. Secondly, not only are sufficient conditions presented for guaranteed-performance consensus to ensure the scalability of DNMASs based on the Riccati inequality, but also an upper bound of the cost function is derived. It is shown that the guaranteed-performance costs are dependent on initial states of agents. Moreover, the conclusions are extended to achieve the leaderless GPC. Finally, simulation examples are presented to demonstrate the effectiveness of theoretical results. (C) 2019 Published by Elsevier B.V.

引用

页码：359 / 367

页数：9

共 35 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[2] Admissibility analysis of discrete linear time-varying descriptor systems [J].

Barbosa, Karina A. ;

de Souza, Carlos E. ;

Coutinho, Daniel .

AUTOMATICA, 2018, 91 :136-143

[3] Formation controllability of high-order linear time-invariant swarm systems [J].

Cai, N. ;

Zhong, Y-S. .

IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (04) :646-654

[4]

Chen WX, 2015, CHIN CONT DECIS CONF, P3711, DOI 10.1109/CCDC.2015.7162571

[5] Distributed Adaptive Fuzzy Control For Nonlinear Multiagent Systems Under Directed Graphs [J].

Deng, Chao ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (03) :1356-1366

[6]

Ebrahimkhani E, 2017, 2017 10TH INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS ENGINEERING (ELECO), P938

[7] Neuro-adaptive cooperative tracking control of unknown higher-order affine nonlinear systems [J].

El-Ferik, Sami ;

Qureshi, Aminuddin ;

Lewis, Frank L. .

AUTOMATICA, 2014, 50 (03) :798-808

[8] Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances [J].

Fan, Ming-Can ;

Wu, Yue .

APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 :274-286

[9] Flocking of Second-Order Multiagent Systems With Connectivity Preservation Based on Algebraic Connectivity Estimation [J].

Fang, Hao ;

Wei, Yue ;

Chen, Jie ;

Xin, Bin .

IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (04) :1067-1077

[10] Admissible consensus for descriptor multi-agent systems via distributed observer-based protocols [J].

Gao, Lixin ;

Cui, Yulong ;

Chen, Wenhai .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (01) :257-276

← 1 2 3 4 →