Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Individual Pitch Control Based on Radial Basis Function Neural Network Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Distributed Robust Control of Uncertain Multi-agent Systems with Directed Networks

Authors : Wei Liu, Qingpo Wu, Shaolei Zhou

Published in: Proceedings of the 5th International Conference on Electrical Engineering and Automatic Control

Publisher: Springer Berlin Heidelberg

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper investigates the distributed robust control problem of a class of uncertain linear time invariant multi-agent systems with directed networks. It is assumed that the agents have identical nominal dynamics while subject to different norm-bounded parameter uncertainties. Based on relative states information of the neighbor agents and a subset of absolute states of the agents, distributed robust controllers are constructed. Sufficient conditions are proposed based on bounded real lemma and algebraic graph theory. The effectiveness of the theoretical results is illustrated via a numerical simulation.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Distributed Cooperative Secondary Control of Microgrids with Bounded Control Input
next chapter Resonant Analysis and Depression in Multi-inverter Grid-Connection System
Literature
1.
Jadbabaie A, Lin J, Morse AS (2003) Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 48:988–1001MathSciNetCrossRef
2.
Fax JA, Murry RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49:1465–1476MathSciNetCrossRef
3.
Borrelli F, Keviczeky T (2008) Distributed LQR design for identical dynamically decoupled systems. IEEE Trans Autom Control 53:1901–1912MathSciNetCrossRef
4.
Ajorlou A, Momeni A, Aghdam AG (2010) A class of bounded distributed control strategies for connectivity preservation in multi-agent systems. IEEE Trans Autom Control 55:2828–2833MathSciNetCrossRef
5.
Olfati-Saber R (2006) Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans Autom Control 51:401–420MathSciNetCrossRef
6.
Vicsek T, Cziro´k A, Jacob EB, Cohen I, Schochet O (1995) Novel type of phase transitions in a system of self-driven particles. Phys Rev Lett 75:1226–1229
7.
Ren W, Beard RW (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50:655–661MathSciNetCrossRef
8.
9.
Li Z, Duan Z, Chen G, Huang L (2010) Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint. IEEE Trans Circuits Syst–I Reg Pap 57:213–224MathSciNetCrossRef
10.
Wen G, Yu W, Cao J, Hu G, Chen G (2013) Consensus control of switching directed networks with general linear node dynamics. In: Proceedings of the 9th Asian control conference, pp 1–6
11.
Massioni P, Verhaegen M (2009) Distributed control for identical dynamically coupled systems: a decomposition approach. IEEE Trans Autom Control 54:124–135MathSciNetCrossRef
12.
13.
Li Z, Duan Z, Chen G (2011) On H ∞ and H 2 performance regions of multi-agent systems. Automatica 57:213–224
14.
Wang J, Duan Z, Zhao Y, Qin G, Yan Y (2013) H ∞ and H 2 control of multi-agent systems with transient performance improvement. Int J Control 86:2131–2145MathSciNetCrossRefMATH
15.
Wang J, Duan Z, Wen G, Chen G (2015) Distributed robust control of uncertain linear multi-agent systems. Int J Robust Nonlin 25:2162–2179MathSciNetMATH
16.
Li Z, Duan Z, Xie L (2012) Distributed robust control of linear multi-agent systems with parameter uncertainties. Int J Control 85:384–396MathSciNetCrossRef
17.
Zhou K, Doyle J (1998) Essential of robust control. Prentice Hall, Upper Saddle River
18.
Metadata
Title
Distributed Robust Control of Uncertain Multi-agent Systems with Directed Networks
Authors
Wei Liu
Qingpo Wu
Shaolei Zhou
Copyright Year
2016
Publisher
Springer Berlin Heidelberg
Book
Proceedings of the 5th International Conference on Electrical Engineering and Automatic Control

Print ISBN: 978-3-662-48766-2

Electronic ISBN: 978-3-662-48768-6

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-662-48768-6_6