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一类混合阶多自主体系统的一致性分析

罗京 刘成林 刘飞

南京理工大学学报(自然科学版)2016,Vol.40Issue(5):626-634,9.
南京理工大学学报(自然科学版)2016,Vol.40Issue(5):626-634,9.DOI:10.14177/j.cnki.32-1397n.2016.40.05.020

一类混合阶多自主体系统的一致性分析

Consensus analysis for a class of mixed-order multi-agent system

罗京 1刘成林 1刘飞1

作者信息

  • 1. 江南大学 轻工过程先进控制教育部重点实验室,江苏 无锡214122
  • 折叠

摘要

Abstract

By simplifying the mathematical models of differential unmanned ground vehicles and quadrotor unmanned aerial vehicles as single integrators and fourth-order integrators respectively,the consensus problem is investigated for the mixed-order multi-agent systems composed of first-order agents and fourth-order agents in this paper. Stationary consensus algorithms are designed for the first-order agent and the fourth-order agent respectively. Under the fixed directed topology, the necessary and sufficient condition is obtained for the multi-agent systems converging to an asymptotic consensus by using the algebraic graph theory and the matrix theory. By constructing the Lyapunov-Krasovskii functional,the sufficient consensus condition being expressed as a linear matrix inequality is obtained for multi-agent systems subject to time-varying input delay. Simulation results verify the effectiveness of the theoretical findings.

关键词

混合阶多自主体系统/一致性/输入时延/有向拓扑

Key words

mixed-order multi-agent systems/consensus/input delay/directed topology

分类

通用工业技术

引用本文复制引用

罗京,刘成林,刘飞..一类混合阶多自主体系统的一致性分析[J].南京理工大学学报(自然科学版),2016,40(5):626-634,9.

基金项目

国家自然科学基金(61473138 ()

61104092) ()

江苏省自然科学基金( BK20151130) ( BK20151130)

江苏省“六大人才高峰”资助项目(2015-DZXX-011) (2015-DZXX-011)

南京理工大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1005-9830

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