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author:

Huang, W. (Huang, W..) [1] | Zeng, J. (Zeng, J..) [2] | Sun, H. (Sun, H..) [3]

Indexed by:

Scopus

Abstract:

This paper studies the robust consensus problem for a class of linear multi-agent systems (MASs) with polytopic uncertainties and external disturbances. The uncertainties appear in both the dynamics of each agent and the topology of the overall network. Based on Lyapunov stability theory, the robust consensus problem is converted to the robust H∞ stabilization of the error system. With the aid of the homogeneous parameter-dependent (HPD) Lyapunov functions and sum of squares (SOS) technique, the robust consensus problem is further formulated as an SOS programming. Sufficient conditions to achieve robust consensus with disturbance rejection capability are presented in terms of SOS constraints. As an extension, the robust consensus problem for discrete-time MASs is studied in a similar way. Numerical examples are provided to illustrate the effectiveness of the approach. © 2014 Elsevier B.V. All rights reserved.

Keyword:

Directed graph; Homogeneous parameter-dependent linear matrix inequality (HPD-LMI); Multi-agent system (MAS); Robust consensus

Community:

  • [ 1 ] [Huang, W.]Department of Automation, Fuzhou University, Fuzhou, 350108, China
  • [ 2 ] [Zeng, J.]Department of Automation, Xiamen University, Xiamen, 361005, China
  • [ 3 ] [Sun, H.]Department of Automation, Xiamen University, Xiamen, 361005, China

Reprint 's Address:

  • [Zeng, J.]Department of Automation, Xiamen UniversityChina

Email:

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Source :

Systems and Control Letters

ISSN: 0167-6911

Year: 2015

Volume: 76

Page: 56-65

1 . 9 0 8

JCR@2015

2 . 1 0 0

JCR@2023

ESI HC Threshold:183

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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