<i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies

<i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies

The paper investigates <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>H</mi> <mo>&#8734;</mo> </msub> </mrow> </semantics> </math> </inline-formula> consensus problem of heteroge...

Full description

Bibliographic Details
Main Authors: Guoying Miao, Gang Li, Tao Li, Yunping Liu
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Electronics
Subjects:
consensus
heterogeneous multi-agent
time delays
Online Access:https://www.mdpi.com/2079-9292/7/12/453
id doaj-d872713d380341e691163e786472568b
record_format Article
spelling doaj-d872713d380341e691163e786472568b2020-11-25T00:17:16ZengMDPI AGElectronics2079-92922018-12-0171245310.3390/electronics7120453electronics7120453<i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching TopologiesGuoying Miao0Gang Li1Tao Li2Yunping Liu3School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaSchool of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaThe paper investigates <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>H</mi> <mo>&#8734;</mo> </msub> </mrow> </semantics> </math> </inline-formula> consensus problem of heterogeneous multi-agent systems including agents with first- and second-order integrators in the presence of disturbance and communication time delays under Markov switching topologies. Based on current messages, outdated information stored in memory and communication time delay information from neighbors, a more general kind of distributed consensus algorithm is proposed, which is faster consensus convergence. By applying stochastic stability analysis, model transformation techniques and graph theory, sufficient conditions of mean square consensus and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>H</mi> <mo>&#8734;</mo> </msub> </mrow> </semantics> </math> </inline-formula> consensus are obtained, respectively. Finally, simulation examples are given to illustrate the effectiveness of obtained theoretical results.https://www.mdpi.com/2079-9292/7/12/453consensusheterogeneous multi-agenttime delays
collection DOAJ
language English
format Article
sources DOAJ
author Guoying Miao
Gang Li
Tao Li
Yunping Liu
spellingShingle Guoying Miao
Gang Li
Tao Li
Yunping Liu
<i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
Electronics
consensus
heterogeneous multi-agent
time delays
author_facet Guoying Miao
Gang Li
Tao Li
Yunping Liu
author_sort Guoying Miao
title <i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
title_short <i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
title_full <i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
title_fullStr <i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
title_full_unstemmed <i>H</i><sub>∞</sub> Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies
title_sort <i>h</i><sub>∞</sub> consensus control for heterogeneous multi-agent via output under markov switching topologies
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2018-12-01
description The paper investigates <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>H</mi> <mo>&#8734;</mo> </msub> </mrow> </semantics> </math> </inline-formula> consensus problem of heterogeneous multi-agent systems including agents with first- and second-order integrators in the presence of disturbance and communication time delays under Markov switching topologies. Based on current messages, outdated information stored in memory and communication time delay information from neighbors, a more general kind of distributed consensus algorithm is proposed, which is faster consensus convergence. By applying stochastic stability analysis, model transformation techniques and graph theory, sufficient conditions of mean square consensus and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>H</mi> <mo>&#8734;</mo> </msub> </mrow> </semantics> </math> </inline-formula> consensus are obtained, respectively. Finally, simulation examples are given to illustrate the effectiveness of obtained theoretical results.
topic consensus
heterogeneous multi-agent
time delays
url https://www.mdpi.com/2079-9292/7/12/453
work_keys_str_mv AT guoyingmiao ihisubsubconsensuscontrolforheterogeneousmultiagentviaoutputundermarkovswitchingtopologies
AT gangli ihisubsubconsensuscontrolforheterogeneousmultiagentviaoutputundermarkovswitchingtopologies
AT taoli ihisubsubconsensuscontrolforheterogeneousmultiagentviaoutputundermarkovswitchingtopologies
AT yunpingliu ihisubsubconsensuscontrolforheterogeneousmultiagentviaoutputundermarkovswitchingtopologies
_version_ 1725380074674323456

Similar Items