H∞ Consensus for Heterogeneous Multi-agent Systems with Time-delay

Author

Bei-Bei Wang ; Yuan-Gong Sun

Author_Institution

Sch. of Math. Sci., Univ. of Jinan, Jinan, China

fYear

2014

fDate

22-25 Oct. 2014

Firstpage

901

Lastpage

906

Abstract

In this paper, we consider the consensus and H_∞ consensus problems of heterogeneous multi-agent systems composed of first-order and second-order integrator agents in directed networks with time-delay. Based on the graph theory and the reduced-order transformation, we first rewrite the heterogeneous multi-agent systems into the corresponding reduced-order systems. Then, we study the consensus of the heterogeneous multi-agent system with time-delay by using the linear matrix inequality method. As a result, sufficient conditions for consensus and H_∞ consensus of heterogeneous multi-agent systems in terms of linear matrix inequalities are established. Finally, simulation results are provided to demonstrate the effectiveness of the main theoretical results.

Keywords

H^∞ control; delays; directed graphs; linear matrix inequalities; network theory (graphs); reduced order systems; H_∞ consensus problem; directed networks; first-order integrator agents; graph theory; heterogeneous multiagent systems; linear matrix inequality method; reduced-order transformation; second-order integrator agents; sufficient conditions; time-delay; Lead; Sun; Consensus; H∞ consensus; Heterogeneous multi-agent system; Linear matrix inequality; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems (ICCAS), 2014 14th International Conference on

Conference_Location

Seoul

ISSN

2093-7121

Print_ISBN

978-8-9932-1506-9

Type

conf

DOI

10.1109/ICCAS.2014.6987912

Filename

6987912