Distributed H∞ Output-Feedback Control for Consensus of Heterogeneous Linear Multiagent Systems with Aperiodic Sampled-Data Communications

Dan Zhang, Zhenhua Xu, Hamid Reza Karimi, Qing Guo Wang, Li Yu

Research output: Contribution to journalArticlepeer-review

136 Citations (Scopus)

Abstract

This paper is concerned with the output-feedback controller design for consensus of a class of heterogeneous linear multiagent systems with the aperiodic sampled-data measurement. Under mild assumptions that the sampling periods are taken from a given set and the agent systems are time synchronized, an equivalent switched system model is first proposed for the heterogeneous agent system with nonuniform sampling. The overall leader-following tracking control problem (LFTCP) is then formulated as the output regulation of a discrete-time switched system. By using some algebraic manipulations, the control problem under consideration is further decoupled into two control subproblems, i.e., a static output-feedback (SOF) control problem plus a simple feedback control problem related to the communication topology. Based on the Lyapunov stability theory, some sufficient conditions are obtained for the solvability of LFTCP. In our results, the SOF controller gains are determined by solving some strict linear matrix inequalities. Finally, a simulation study on the modified Caltech multivehicle wireless testbed is presented to show the effectiveness of the proposed design method.

Original languageEnglish
Article number8110632
Pages (from-to)4145-4155
Number of pages11
JournalIEEE Transactions on Industrial Electronics
Volume65
Issue number5
DOIs
Publication statusPublished - May 2018

Keywords

  • Aperiodic sampling
  • consensus
  • linear matrix inequality (LMI)
  • multiagent systems
  • robust control
  • switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'Distributed H∞ Output-Feedback Control for Consensus of Heterogeneous Linear Multiagent Systems with Aperiodic Sampled-Data Communications'. Together they form a unique fingerprint.

Cite this