H∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

doi:10.1088/1674-1056/28/1/010703

Abstract

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.

Keywords: multi-agent system couple-group consensus output feedback control switching topologies

Received: 28 September 2018
Revised: 10 November 2018
Accepted manuscript online:

PACS:	07.05.Dz	(Control systems)
	05.10.-a	(Computational methods in statistical physics and nonlinear dynamics)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 61503002 and 61573008).

Corresponding Authors: Jianping Zhou
E-mail: jpzhou0@gmail.com

Cite this article:

Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平) H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies 2019 Chin. Phys. B 28 010703

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H∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

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H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies