H∞ approach to the consensus problem of multi-agent systems

Author

Liu Yang ; Jia Yingmin

Author_Institution

Dept. of Syst. & Control, Beihang Univ. (BUAA), Beijing, China

fYear

2010

fDate

29-31 July 2010

Firstpage

4542

Lastpage

4547

Abstract

In this paper, H_∞ method is applied to solve the consensus problem of multi-agent systems with various dynamics and subject to external disturbances, and some different distributed protocols are proposed that take into account the communication uncertainties and/or delays among agents. The motivation and essential of using H_∞ theory to study the consensus problem is explained in detail, and then a systematic research procedure is formulated. Further, a series of sufficient conditions are given to ensure the consensus performance with a desired H_∞ disturbance attenuation level for the multi-agent systems with first-order, second-order, high-order and linear coupling dynamics.

Keywords

H^∞ control; delays; linear matrix inequalities; multi-agent systems; protocols; uncertainty handling; H_∞ disturbance attenuation; communication uncertainties; consensus performance; consensus problems; delays; distributed protocol; dynamic disturbance; external disturbance; linear coupling; multiagent system; Attenuation; Indexes; Multiagent systems; Network topology; Protocols; Switches; Topology; Consensus; External Disturbances; H∞ Theory; Multi-Agent Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573063