Leader–follower H∞ consensus of linear multi-agent systems with aperiodic sampling and switching connected topologies

Dan Zhang, Zhenhua Xu, Qing Guo Wang, Yun Bo Zhao

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

This paper is concerned with the distributed H consensus of leader–follower multi-agent systems with aperiodic sampling interval and switching topologies. Under the assumption that the sampling period takes values from a given set, a new discrete-time model is proposed for the tracking error system. For the multi-agent systems with time-varying sampling period, switching topologies and external disturbance, the considered tracking problem is converted to a robust H control problem. With help of the Lyapunov stability theory, a sufficient condition for the existence of mode-dependent controller is established and it guarantees the exponential stability of tracking error system and a prescribed H disturbance attenuation level. The influence of sampling period on the overall control performance is also discussed. Two simulation examples are given to show the effectiveness of the proposed control algorithm.

Original languageEnglish
Pages (from-to)150-159
Number of pages10
JournalISA Transactions
Volume68
DOIs
Publication statusPublished - May 2017

Keywords

  • Aperiodic sampling
  • Leader–follower consensus
  • Linear matrix inequality (LMI)
  • Multi-agent systems
  • Switching topology

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Instrumentation
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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