Containment control for multi-agent systems via impulsive algorithms without velocity measurements

Hong Zhou*, Zhen-Hua Wang, Zhi-Wei Liu, Wenshan Hu, G-P Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this study, the containment control problems in second-order multi-agent systems for both static leaders and dynamic leaders under directed topologies are studied. The authors propose the impulsive containment control algorithms without using velocity measurements. Some necessary and sufficient conditions depending on the eigenvalues of the Laplacian matrix associated with the communication graph, the impulsive period and the gain parameters, are obtained to guarantee the containment control. Then, the containment control of multi-agent systems with input delay using impulsive algorithms is investigated. Also, some necessary and sufficient conditions are given. Finally, some simulations are conducted to verify the effectiveness of the proposed algorithms.

Original languageEnglish
Pages (from-to)2033-2044
Number of pages12
JournalIet control theory and applications
Volume8
Issue number17
DOIs
Publication statusPublished - 20 Nov 2014

Keywords

  • multi-agent systems
  • topology
  • eigenvalues and eigenfunctions
  • matrix algebra
  • delays
  • control system analysis
  • multiagent systems
  • static leaders
  • dynamic leaders
  • directed topologies
  • impulsive containment control algorithms
  • Laplacian matrix eigenvalues
  • communication graph
  • impulsive period
  • gain parameters
  • input delay
  • DOUBLE-INTEGRATOR DYNAMICS
  • SAMPLED INFORMATION
  • SUFFICIENT CONDITIONS
  • CONSENSUS PROBLEMS
  • INPUT DELAYS
  • NETWORKS
  • TOPOLOGY
  • COMMUNICATION
  • LEADER
  • AGENTS

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