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

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Article
English
2014

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

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English
2014
Abstract and Applied Analysis
Vol 2014
DOI: 10.1155/2014/260201

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Hamid Reza Karimi
Hamid Reza Karimi

Politecnico di Milano

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Qu Chenggang
Xibin Cao
Hamid Reza Karimi
+2 more

Abstract

This paper investigates the finite-time distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mtext>–</mml:mtext><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mtext>–</mml:mtext><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>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.

How to cite this publication

Qu Chenggang, Xibin Cao, Hamid Reza Karimi, Zhang Zhuo, Zexu Zhang (2014). Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems. Abstract and Applied Analysis, 2014, pp. 1-9, DOI: 10.1155/2014/260201.

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Publication Details

Type

Article

Year

2014

Authors

5

Datasets

0

Total Files

0

Language

English

Journal

Abstract and Applied Analysis

DOI

10.1155/2014/260201

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