Leaderless and leader-following consensus for heterogeneous multi-agent systems with random link failures

Jae M. Kim, Jin B. Park, Yoon H. Choi

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

This study investigates the heterogeneous consensus problem for multi-agent systems with random link failures between each agent. The discrete-time heterogeneous multi-agent systems are described by first-order and second-order dynamics, and the communication network is assumed to be directed with fixed topology. Since each link between the agents is subject to failure with a certain probability, the control protocol is designed considering the random link failures. The random link failures are presented by a Bernoulli probability sequence, that is, the control protocol for failure occurrence is designed using the one step previous data that is sent by adjacency neighbouring agents. The control protocol for heterogeneous multiagent systems is designed for first-order dynamics and second-order dynamics using the Lyapunov method. The mean square stability is shown for leaderless and leader-following heterogeneous multi-agent systems in terms of a set of linear matrix inequalities, and some simulation results are provided to verify the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)51-60
Number of pages10
JournalIET Control Theory and Applications
Volume8
Issue number1
DOIs
Publication statusPublished - 2014

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Heterogeneous Systems
Multi agent systems
Multi-agent Systems
Lyapunov methods
First-order
Mean-square Stability
Linear matrix inequalities
Consensus Problem
Lyapunov Methods
Telecommunication networks
Adjacency
Bernoulli
Communication Networks
Topology
Matrix Inequality
Linear Inequalities
Discrete-time
Verify
Simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

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abstract = "This study investigates the heterogeneous consensus problem for multi-agent systems with random link failures between each agent. The discrete-time heterogeneous multi-agent systems are described by first-order and second-order dynamics, and the communication network is assumed to be directed with fixed topology. Since each link between the agents is subject to failure with a certain probability, the control protocol is designed considering the random link failures. The random link failures are presented by a Bernoulli probability sequence, that is, the control protocol for failure occurrence is designed using the one step previous data that is sent by adjacency neighbouring agents. The control protocol for heterogeneous multiagent systems is designed for first-order dynamics and second-order dynamics using the Lyapunov method. The mean square stability is shown for leaderless and leader-following heterogeneous multi-agent systems in terms of a set of linear matrix inequalities, and some simulation results are provided to verify the effectiveness of the proposed methods.",
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Leaderless and leader-following consensus for heterogeneous multi-agent systems with random link failures. / Kim, Jae M.; Park, Jin B.; Choi, Yoon H.

In: IET Control Theory and Applications, Vol. 8, No. 1, 2014, p. 51-60.

Research output: Contribution to journalArticle

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