Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems

This paper investigates the finite-time distributed L2–L∞ consensus control problem of multiagent systems with parameter uncertainties. The relative states of neighboring agents are used to construct the control law and some agents know their own states. By substituting the control input into multia...

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Main Authors: Qu Chenggang, Cao Xibin, Hamid Reza Karimi, Zhang Zhuo, Zhang Zexu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/260201
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author Qu Chenggang
Cao Xibin
Hamid Reza Karimi
Zhang Zhuo
Zhang Zexu
author_facet Qu Chenggang
Cao Xibin
Hamid Reza Karimi
Zhang Zhuo
Zhang Zexu
author_sort Qu Chenggang
collection DOAJ
description This paper investigates the finite-time distributed L2–L∞ consensus control problem of multiagent systems with parameter uncertainties. The relative states of neighboring agents are used to construct the control law and some agents know their own states. By substituting the control input into multiagent systems, an augmented closed-loop system is obtained. Then, we analyze its finite-time boundedness (FTB) and finite-time L2–L∞ performance. A sufficient condition for the existence of the designed controller is given with the form of linear matrix inequalities (LMIs). Finally, simulation results are described.
format Article
id doaj-art-7cadd69d9cf74eb9b3fe88e2c83558c9
institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7cadd69d9cf74eb9b3fe88e2c83558c92025-02-03T07:25:43ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/260201260201Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent SystemsQu Chenggang0Cao Xibin1Hamid Reza Karimi2Zhang Zhuo3Zhang Zexu4Research Institute of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaResearch Institute of Satellite Technology, Harbin Institute of Technology, Harbin 150080, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayDeep Space Exploration Research Center, Harbin Institute of Technology, Harbin 150080, ChinaDeep Space Exploration Research Center, Harbin Institute of Technology, Harbin 150080, ChinaThis paper investigates the finite-time distributed L2–L∞ consensus control problem of multiagent systems with parameter uncertainties. The relative states of neighboring agents are used to construct the control law and some agents know their own states. By substituting the control input into multiagent systems, an augmented closed-loop system is obtained. Then, we analyze its finite-time boundedness (FTB) and finite-time L2–L∞ performance. A sufficient condition for the existence of the designed controller is given with the form of linear matrix inequalities (LMIs). Finally, simulation results are described.http://dx.doi.org/10.1155/2014/260201
spellingShingle Qu Chenggang
Cao Xibin
Hamid Reza Karimi
Zhang Zhuo
Zhang Zexu
Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
Abstract and Applied Analysis
title Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
title_full Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
title_fullStr Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
title_full_unstemmed Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
title_short Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
title_sort finite time distributed energy to peak control for uncertain multiagent systems
url http://dx.doi.org/10.1155/2014/260201
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AT caoxibin finitetimedistributedenergytopeakcontrolforuncertainmultiagentsystems
AT hamidrezakarimi finitetimedistributedenergytopeakcontrolforuncertainmultiagentsystems
AT zhangzhuo finitetimedistributedenergytopeakcontrolforuncertainmultiagentsystems
AT zhangzexu finitetimedistributedenergytopeakcontrolforuncertainmultiagentsystems