ℋ∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologiesProject supported by the National Natural Science Foundation of China (Grant Nos. 61503002 and 61573008)

The paper addresses the issue of ℋ∞ couple-group consensus for a class of discrete-time stochastic multi-agent systems via output-feedback control. Both fixed and Markovian switching communication topologies are considered. By employing linear transformations, the closed-loop systems are converted i...

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Bibliographic Details
Published in:Chinese physics B 2019-01, Vol.28 (1)
Main Authors: Fang, Muyun, Zhou, Cancan, Huang, Xin, Li, Xiao, Zhou, Jianping
Format: Article
Language:English
Subjects:
couple-group consensus
multi-agent system
output feedback control
switching topologies
Online Access:Get full text
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Summary:The paper addresses the issue of ℋ∞ couple-group consensus for a class of discrete-time stochastic multi-agent systems via output-feedback control. Both fixed and Markovian switching communication topologies are considered. By employing linear transformations, the closed-loop systems are converted into reduced-order systems and the ℋ∞ couple-group consensus issue under consideration is changed into a stochastic ℋ∞ control problem. New conditions for the mean-square asymptotic stability and ℋ∞ performance of the reduced-order systems are proposed. On the basis of these conditions, constructive approaches for the design of the output-feedback control protocols are developed for the fixed communication topology and the Markovian switching communication topologies, respectively. Finally, two numerical examples are given to illustrate the applicability of the present design approaches.
ISSN:1674-1056
DOI:10.1088/1674-1056/28/1/010703