H∞ consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee; J. W. Son; E. J. Cha

doi:10.1016/j.neucom.2014.01.044

H∞ consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, J. W. Son, E. J. Cha

Division of Electronics & Information System

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

This paper proposes a new H∞ consensus criterion for discrete-time multi-agent systems with communication-delay and disturbances. By constructing a suitable Lyapunov-Krasovskii (L-K) functional, which fractionizes the delay interval into two subsections, and utilizing reciprocally convex approach, a new H∞ consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	199-208
Number of pages	10
Journal	Neurocomputing
Volume	138
DOIs	https://doi.org/10.1016/j.neucom.2014.01.044
State	Published - 22 Aug 2014

Bibliographical note

Funding Information:
This work was supported by MEST & DGIST(12-IT-04, Development of the Medical & IT Convergence System) and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0009273 and 2008-0062611 ).

Keywords

Discrete-time multi-agent systems
H∞ consensus
Lyapunov method
Time-delay

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10.1016/j.neucom.2014.01.044

Cite this

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title = "H∞ consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances",

abstract = "This paper proposes a new H∞ consensus criterion for discrete-time multi-agent systems with communication-delay and disturbances. By constructing a suitable Lyapunov-Krasovskii (L-K) functional, which fractionizes the delay interval into two subsections, and utilizing reciprocally convex approach, a new H∞ consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.",

keywords = "Discrete-time multi-agent systems, H∞ consensus, Lyapunov method, Time-delay",

author = "Park, {M. J.} and Kwon, {O. M.} and Park, {Ju H.} and Lee, {S. M.} and Son, {J. W.} and Cha, {E. J.}",

note = "Funding Information: This work was supported by MEST & DGIST(12-IT-04, Development of the Medical & IT Convergence System) and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0009273 and 2008-0062611 ). ",

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AU - Park, M. J.

AU - Kwon, O. M.

AU - Park, Ju H.

AU - Lee, S. M.

AU - Son, J. W.

AU - Cha, E. J.

N1 - Funding Information: This work was supported by MEST & DGIST(12-IT-04, Development of the Medical & IT Convergence System) and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0009273 and 2008-0062611 ).

PY - 2014/8/22

Y1 - 2014/8/22

N2 - This paper proposes a new H∞ consensus criterion for discrete-time multi-agent systems with communication-delay and disturbances. By constructing a suitable Lyapunov-Krasovskii (L-K) functional, which fractionizes the delay interval into two subsections, and utilizing reciprocally convex approach, a new H∞ consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.

AB - This paper proposes a new H∞ consensus criterion for discrete-time multi-agent systems with communication-delay and disturbances. By constructing a suitable Lyapunov-Krasovskii (L-K) functional, which fractionizes the delay interval into two subsections, and utilizing reciprocally convex approach, a new H∞ consensus criterion for the concerned systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.

KW - Discrete-time multi-agent systems

KW - H∞ consensus

KW - Lyapunov method

KW - Time-delay

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DO - 10.1016/j.neucom.2014.01.044

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VL - 138

SP - 199

EP - 208

JO - Neurocomputing

JF - Neurocomputing

ER -

H∞ consensus performance for discrete-time multi-agent systems with communication delay and multiple disturbances

Abstract

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Keywords

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